The present disclosure relates to an optical device and a depth information generating method using the same, and more particularly, to an optical device for generating a high-resolution depth map by combining a plurality of depth maps generated according to a plurality of wave measuring methods, and a depth information generating method.
Technique for measuring the depth/distance of a three-dimensional object can be classified into a contact type measuring method that uses a probe, and a non-contact type three-dimensional depth measuring method that uses an optical system. The present disclosure relates to an improved optical system for generating a three-dimensional depth map of an object.
Conventionally, the optical measuring method for use in a measuring device requires a high manufacturing cost for implementation thereof to use precision impulse laser. Another type of conventional method has a space limit because it requires that the light source of the light to be irradiated be distributed over a large area and that a screen for forming a shadow be disposed. Yet another conventional method has a difficulty of performing real-time calculation, because the operation for processing a plurality of obtained frames as a depth map is very complicated. Yet another conventional method using two or more stereo cameras has a drawback of computational complexity for generating two or more three-dimensional models, and need to precisely adjust the position and photographing direction of the two or more cameras. In addition, in most cases, there is a drawback that the device is vulnerable to noise, which makes it difficult to acquire depth information when the device is placed in an environment such as outdoors where there is noise.
An object of the present disclosure is to provide an optical device for generating a high-resolution depth map by combining three-dimensional information of objects generated by a plurality of wave measuring methods and depth information generating method.
In order to achieve the objects mentioned above, according to an embodiment of the present disclosure, there is provided a depth information generating method for generating a depth map for an object, which may include irradiating an electromagnetic wave onto the object, receiving a reflected wave reflected from the object through an optical receiver, and generating a first depth map for the object based on a direction of arrival of the received reflected wave, generating a second depth map for the object based on a time of arrival of the received reflected wave, and generating a depth map combining the first depth map and the second depth map.
In this example, the generating may include generating the first depth map from a direction of arrival spectrum calculated by performing a correlation operation on a steering vector calculated based on an impulse response of the optical receiver and an output vector of the optical receiver receiving the reflected wave.
In this example, the optical receiver may include a plurality of light receiving elements, and the generating comprises performing the correlation operation using an equation below:
where, M is a total number of the plurality of light receiving elements, {right arrow over (x)}(t) is the output vector, {right arrow over (a)}(t, θ, φ,d) is the steering vector, xm(t) is output of an m-th light receiving element, and am(θ, ϕ, t, dl) is a steering vector component corresponding the m-th light receiving element.
In this example, the optical receiver may be an antenna array in which a plurality of light receiving elements are arranged in an equidistant lattice pattern.
Meanwhile, the generating may include calculating a direction of arrival spectrum from which sidelobes have been removed by performing the correlation operation using an equation below and generating the first depth map from the direction of arrival spectrum from which the sidelobes have been removed,
where, <xm, am> is
where, (xm, am) is
where, M is a number of the plurality of light receiving elements, {right arrow over (k)} is a wave vector representing the reflected wave incident on the optical receiver, {right arrow over (r)}m is a radius vector representing an m-th light receiving element among the plurality of light receiving elements, Δ is the wavelength of the reflected wave, and c is the speed of light.
Meanwhile, the depth information generating method may further include irradiating an omnidirectional electromagnetic wave to a monitoring zone comprising the object, receiving some of signals of the omnidirectional electromagnetic wave scattered by the object, and analyzing the received scattered signal and identifying a position of the object, in which the irradiating an electromagnetic wave onto the object may include irradiating the electromagnetic wave onto the object based on the position of the identified object.
In this example, the irradiating an electromagnetic wave onto the object may include analyzing the received scattered signal to calculate a distance between a position at which the electromagnetic wave is irradiated and a nearest point of the object and a farthest point of the object, and irradiating the electromagnetic wave with a varying intensity according to the calculated distance.
Meanwhile, when the number of the objects is plural, the irradiating an electromagnetic wave onto the object may include irradiating the electromagnetic wave onto each of the plurality of objects based on the identified positions of the objects.
Meanwhile, the electromagnetic wave irradiated onto the object may be time and spatial light modulated electromagnetic wave.
In this example, the depth information providing method may further include time light modulating an electromagnetic wave radiated from a light source, spatial light modulating the time light modulated electromagnetic wave using a plurality of binary patterns changed according to time, and generating the time and spatial light modulated electromagnetic wave.
Meanwhile, the object may be a user's hand, and the method may further include controlling a function of a display device that outputs an image according to a gesture command corresponding to a movement of the hand determined from the combined depth map.
Meanwhile, the optical receiver may be an antenna array in which a plurality of light receiving elements are arranged in one or a plurality of concentric circles.
Meanwhile, the generating a depth map may include combining the first depth map and the second depth map using super resolution technique or hybrid imaging technique.
Meanwhile, the irradiating an electromagnetic wave onto the object may include irradiating onto the object while shifting the electromagnetic wave composed of a plurality of laser beams to a preset direction, thereby irradiating the electromagnetic wave over the entire object.
Meanwhile, an optical device for generating a depth map for an object according to an embodiment is provided, which may include a projector for irradiating an electromagnetic wave onto the object, an optical receiver for receiving the reflected wave reflected from the object, a processor for generating a first depth map for the object based on a direction of arrival of the received reflected wave, generating a second depth map for the object based on a time of arrival of the received reflected wave, and generating a depth map for the object by combining the first depth maps and the second depth maps.
In this example, the processor may generate the first depth map from a direction of arrival spectrum calculated by performing a correlation operation on a steering vector calculated based on an impulse response of the optical receiver and an output vector of the optical receiver receiving the reflected wave.
In this example, the optical receiver may include a plurality of light receiving elements, and the processor may perform the correlation operation using an equation below:
where, M is a total number of the plurality of light receiving elements, {right arrow over (x)}(t) is the output vector, {right arrow over (a)}(t, θ, φ, d) is the steering vector, xm(t) is output of an m-th light receiving element, and am(θ, φ, t, dl) is a steering vector component corresponding the m-th light receiving element.
In this example, the optical receiver may be an antenna array in which a plurality of light receiving elements are arranged in an equidistant lattice pattern.
Meanwhile, the processor may perform the correlation operation using an equation below, calculate a direction of arrival spectrum from which sidelobes have been removed by performing the correlation operation using an equation below and generate the first depth map from the direction of arrival spectrum from which the sidelobes have been removed:
where, <xm, am> is
where, (xm, am) is
where, M is a number of the plurality of light receiving elements, {right arrow over (k)} is a wave vector representing the reflected wave incident on the optical receiver, {right arrow over (r)}m is a radius vector representing an m-th light receiving element among the plurality of light receiving elements, Δ is the wavelength of the reflected wave, and c is the speed of light.
Meanwhile, the projector may irradiate an omnidirectional electromagnetic wave to a monitoring zone containing the object, and the optical receiver may receive some of the signals of the omnidirectional electromagnetic wave scattered by the object, and the processor may analyze the received scattered signals to identify the position of the object, and irradiate the electromagnetic wave onto the object based on the identified position of the object.
In this example, the processor may analyze the received scattered signal to calculate a distance to a nearest point of the object and a farthest point of the object from a position where the electromagnetic wave is irradiated, and may control the projector to irradiate the electromagnetic wave with a varying intensity according to the calculated distance.
In this example, when there are a plurality of objects, the processor may control the projector to irradiate the electromagnetic wave to each of the plurality of objects based on the position of the identified object.
Meanwhile, the projector may irradiate time and spatial light modulated electromagnetic wave the object.
In this example, the projector may include a light source for emitting the electromagnetic wave and a spatial light modulator (SLM) for spatial modulating the radiated electromagnetic wave.
In this example, the processor may perform time light modulation of electromagnetic wave radiated from the light source, and transmit a signal for a plurality of binary patterns varying according to time to the SLM to perform spatial light modulation of the time light modulated electromagnetic wave.
Meanwhile, the object may be a user's hand, and the processor may control a function of a display device that outputs an image according to a gesture command corresponding to the motion of the hand determined from the combined depth map.
Meanwhile, the optical receiver may be an antenna array in which a plurality of light receiving elements are arranged in one or a plurality of concentric circles.
Meanwhile, the processor may combine the first depth map and the second depth map using a super resolution technique or a hybrid imaging technique.
Meanwhile, the projector may irradiate the electromagnetic wave composed of a plurality of laser beams, and the processor may control the projector to irradiate onto the object while shifting the plurality of laser beams in a preset direction, thereby irradiating the electromagnetic wave over the entire object.
The conventional ToF camera is able to generate only a depth map for a narrow area due to its small aperture, but the present disclosure is capable of generating a depth map for the entire area in a space of 180 degrees in front where an optical receiver receives light, as long as the optical receiver is exposed to the outside.
In addition, unlike the classic DoA method for computing the arrival angle, the DoA method proposed by the present disclosure can compute distances to a plurality of points.
Hereinafter, embodiments of the present disclosure will be described in detail with reference to the accompanying drawings. In the below description of the present disclosure, a detailed description of known functions and configurations incorporated herein will be omitted when it may make the subject matter of the present disclosure rather unclear. In addition, terminologies used herein are terms used to properly represent preferred embodiments of the present disclosure, which may vary depending on the user, the intention of the operator, or the practice of the field to which the present disclosure belongs. Therefore, the definitions of these terms should be based on the contents throughout the description.
Referring to
The display device 10 displays an image. An image displayed by the display device 10 may be an image of data received from an external device, a removable storage, and so on connected via a communication interface. In addition, the image may be an image of data stored in an internal storage of the display device 10. Further, the display device 10 may display an over-the-air broadcast received through a wireless antenna, or an image streamed or downloaded in a wired manner.
The display device 10 may be implemented as various display units such as liquid crystal display (LCD) panel, plasma display panel (PDP), organic light emitting diode (OLED), vacuum fluorescent display (VFD), field emission display (FED), and electro luminescence display (ELD).
Meanwhile, the display device 10 may be implemented as a general display panel having no touch input function, or may be implemented as a touch display panel capable of recognizing a manipulation of a user who is using a proximity sensor or a touch sensor. When implemented as a touch display panel, the display device 10 may be inputted with at least one touch gesture via a user's body (e.g., finger including a thumb) or a sensible input means (e.g., stylus pen). In addition, the display device 10 may include a microphone for recognizing the user's voice, and perform as commanded by the user's voice. In addition, the display device 10 may receive a radio signal from the remote control device and perform a function corresponding to a command of a user inputted from a remote distance.
A plurality of users 20, 30 may control the display device 10 within a range recognizable by the optical device 100 by making a preset hand movement or hand shape.
For example, the user 20 may make an action 21 corresponding to a preset hand movement (or, interchangeably, a gesture) that causes the display device 10 to display the next slide. At the same time, the user 30 may make a hand shape corresponding to a preset shape for adjusting the volume of sound outputted from the display device 10.
The optical device 100 identifies one or a plurality of hands. Specifically, the optical device 100 may irradiate electromagnetic wave to a monitoring zone in front, receive the reflected waves, and identify the hands 21, 31 from the signals of the received reflected waves.
In addition, the optical device 100 generates a depth map for the identified hands 21, 31. Specifically, the optical device 100 may irradiate electromagnetic wave to positions of the identified hands 21, 31 to generate a depth map that can express a 3D hand shape.
The optical device 100 may determine whether the generated depth map of respective hands 21, 31 corresponds to a preset hand movement or hand shape, and output a control command corresponding to the corresponding hand movement or hand shape to the display device 10.
With the display system of an embodiment described above, a plurality of users at a remote distance can input control commands with only a simple gesture. In various embodiments where the optical device of the present disclosure is utilized, the optical device may be used not only in the display device as described above, but also in a remote medical system to generate a depth map for hands of a doctor who performs a direct treatment on a patient at a remote distance using a robot arm. In addition, the optical device may enable a user to play a video game intuitively and actively. In addition, the optical device may be installed in an ordinary home or office to illuminate an interior space of a room, such that a resident may input a command to control a specific electronic appliance installed indoor with a gesture anywhere as needed.
The control of the display device by hand shape or hand movement has been described above In one example, but the controlled device is not limited thereto. In addition, the body part for control is not limited to the hand only, and it may be anywhere such as shoulder, fingertip, upper body, and so on.
Referring to
The projector 110 irradiates an electromagnetic wave to an object. Specifically, the projector 110 may radiate electromagnetic wave for sensing the object toward a monitoring zone.
The projector 110 may include a light source that radiate electromagnetic wave. As one example, the projector 110 may include a laser device that radiates a laser beam. Here, the laser device may be implemented as a single laser diode or an array of diodes including a plurality of laser diodes.
In this example, the light source of the projector 110, which radiates electromagnetic wave, may adjust the intensity and/or frequency suitable for the electromagnetic wave propagated to the monitoring zone to be reflected against the object and received.
The projector 110 may adjust the direction of irradiating the electromagnetic wave. Specifically, the projector 110 may shift the position of illuminating the electromagnetic wave—that is, focus—to the monitoring zone. To this end, the projector 110 may be provided with optical equipment in front of the light source. The optical equipment is a steering/aligning device that may change the direction of light. The optical equipment may include one or a plurality of lenses, mirrors, gratings, shutters, and so on.
The projector 110 may emit a plurality of laser beams. Specifically, the projector 110 may radiate the light radiated from one or a plurality of light sources as the laser beams outputted from a plurality of preset positions. In this example, the plurality of preset positions may be in a form such as a lattice having orthogonal alignment.
The projector 110 may irradiate time and spatial light modulated electromagnetic wave. Specifically, the projector 110 may irradiate harmonically vibrating light having a preset sinusoidal form with respect to time. Then, the projector 110 may irradiate a light that varies over time in a preset pattern with respect to space.
In this example, the projector 110 may irradiate spatially modulated electromagnetic wave according to a pre-stored binary pattern. In one embodiment, one laser beam outputted from one laser device and expanded through an expander may then be radiated as a plurality of laser beams by a barrier having a pattern through which the light can pass.
Specifically, the projector 110 may include a spatial light modulator (SLM). The SLM may perform spatial light modulation of the electromagnetic wave radiated by the light source. The SLM modulates the electromagnetic wave by changing a specific region to transparent or opaque state according to an electric signal corresponding to a preset pattern. More specifically, the SLM may include two-dimensional (2D) array pixels. In addition, the SLM may change the transmittance of each pixel according to electric signal. In the present disclosure, a pattern used for spatial light modulation may be a binary pattern. In one embodiment, the SLM may include a micro-mirror array. Various other types of SLMs may be used. For example, an LCD-based SLM, a reflective LCoS SLM that changes the path of the incident light, and an OASLM that modulates light by an optical signal may be used.
The optical receiver 120 receives the reflected wave. Specifically, the optical receiver 120 may receive the reflected wave, which is the electromagnetic wave radiated from the projector 110 and reflected from the object. Hereinbelow, in describing the configuration of the present disclosure, the optical receiver may be referred to simply as a receiver, an optical receiver or an antenna in a sense that it receives wave.
The optical receiver 120 may sense an incoming electromagnetic wave and transform the received light energy into an electrical signal. For this purpose, the optical receiver 120 may include one (single) or a plurality (or array) of light sensing elements (“light receiving element”) such as photodiodes or photo transistors. For reference, generally, in implementing the optical device 100, the resolution of the depth map is proportional to the number of sensors of the optical receiver 120 that receive the incident reflected wave.
The optical receiver 120 may be in a form of a uniform rectangular array (URA) in which a plurality of light receiving elements are arranged in a lattice form. In one example, the optical receiver 120 may be an array provided in a form such that a plurality of photodiodes are arranged at equal intervals in the horizontal and vertical directions. In another embodiment, the optical receiver 120 may be a uniform circular array (UCA) in which a plurality of light receiving elements are arranged in a form of one or a plurality of concentric circles. In one example, the optical receiver 120 may be one or a plurality of concentrically-circular arrays having a plurality of photodiodes aligned along a circle at equal intervals.
The processor 130 generates a depth map of an object in the monitoring zone using the electric signal outputted from the optical receiver 120 that received the reflected wave. Specifically, the processor 130 may generate a depth map using an algorithm for acquiring 3D information of an object present in the monitoring zone (or a scene of interest).
The processor 130 may generate a plurality of depth maps using a plurality of different algorithms that generate a depth map from the signals sensed at the optical receiver 120. In addition, the processor 130 may combine a plurality of depth maps to generate a depth map for the object.
Specifically, the processor 130 may generate a first depth map for the object based on the direction of arrival of the received reflected wave, and generate a second depth map for the object based on the time of arrival of the received reflected wave. In one example, the processor 130 may use a direction of arrival (DoA) estimation algorithm and a time of flight (ToF) estimation algorithm to generate a depth map according to the respective algorithms.
In this example, the direction of arrival (DoA) refers to an incident angle at which light reaches the receiver 120 of the optical device 100. When the DoA estimation algorithm is used, the optical device may compute the direction of arrival of the reflected wave reflected from the object and entered into the optical receiver 120.
The processor 130 may generate a depth map of the object according to the DoA method. Specifically, the processor 130 may process the signal according to a DoA estimation method that uses correlation operation between the output of the receiver 120 and the impulse response of the receiver to generate a rough depth map of the object. The DoA estimation algorithm and the computed spectrum thereby will be described in detail below.
The processor 130 may generate a depth map of the object according to the ToF method. In detail, the processor 130 may generate a depth map of the object by processing the signal according to a ToF estimation method, which computes a time during which the spatially modulated light travels a round trip path from being reflected against the object until being received.
The processor 130 combines the plurality of generated depth maps. Specifically, the processor 130 may combine the first depth map generated by the DoA method with the second depth map generated by the ToF method. In order to combine the two depth maps, the processor 130 may use various techniques for generating an image with improved resolution by combining/synthesizing two images data. For example, the processor 130 may be a hybrid imaging technique that combines two or more images having different image characteristics, or a superresolution technique that restores a single high-resolution image using a plurality of low-resolution image information.
The processor 130 may control the projector 110 to irradiate omnidirectional electromagnetic wave. Specifically, the processor 130 may control the projector 110 to irradiate omnidirectional electromagnetic wave over the monitoring zone, rather than pointing to a specific area of the monitoring zone.
In this case, the optical receiver 120 may receive some of the scattered signals as the omnidirectional electromagnetic wave irradiated from the projector 110 is impinged on and scattered from the one or a plurality of objects. In other words, the omnidirectional electromagnetic wave irradiated to the monitoring zone may be reflected against the object and scattered, and some of the scattered signals directed toward the optical receiver 120 may be received at the optical receiver 120.
The processor 130 may analyze the received scattered signal to identify the position of at least one object. The processor 130 may then control the projector 120 to irradiate electromagnetic wave onto the object based on the identified position of the object. Specifically, the processor 130 may control the direction in which the projector 120 is faced such that the direction of propagation of the electromagnetic wave is directed toward the identified position of the object. In this example, when there are a plurality of objects being identified, the processor 130 may control the projector 120 to irradiate electromagnetic wave to each of a plurality of objects based on the identified positions of the objects.
In addition, the processor 130 may analyze the received scattered signal to calculate the distance to a nearest point of the object and a farthest point of the object from a position at which the projector irradiates the electromagnetic wave. In other words, the processor 130 may process the received signal of the scattered reflected light to determine the nearest point of the object and the farthest point of the object. There is a possibility that the laser irradiated by the projector 110 may damage the human body such as skin or eyes depending on frequency or intensity of the laser. In addition, the light receiving element of the optical receiver 120 can typically receive limited light intensities, and if an intense reflected light exceeding the limit is entered, the receiver may be blinded. Thus, it may be necessary for the processor 130 to compute the nearest point and the farthest point on the object to generate the depth map, and control the projector 110 to illuminate only a sufficient amount of light to produce a depth map between the nearest point and the farthest point.
The optical device 100 as described above may generate a 3D high-resolution depth map of an object.
Referring to
The modulation source signal generator 305 generates a digitally modulated signal. Specifically, the modulation source signal generator 305 may generate a source signal to be transmitted to the projector 110 for time and spatial modulation of electromagnetic wave. The modulation information generated by the modulation source signal generator 350 may be shared with the demodulator unit 330 and the convolution and filtering module 335 to be used for processing the received signal.
The laser beam and pattern generator 310 generates one or a plurality of laser beams for illuminating the monitoring zone and a pattern of the modulated laser beam. Specifically, the laser beam and pattern generator 310 outputs the laser radiated from the light source of the projector 110 of
The propagation path forward 315 is a block indicating that the modulated electromagnetic wave is propagated toward the monitoring zone.
The monitoring zone 320 includes a monitoring object 321. The monitoring zone 320 is a space within a distance and a range where it can receive the reflected wave when the electromagnetic wave arrived from the optical device 100 of
The propagation path backward 325 is a block indicating that the transmitted electromagnetic wave is reflected against the object and returned.
The demodulator unit 330 receives the analog signal of the reflected wave, transforms it into a digital signal, and demodulates the digital signal. The demodulator unit 330 may include an optical receiver 331 to receive the reflected waves. In this example, the optical receiver 331 may be implemented as the optical receiver 120 of
The convolution and filtering module 335 extracts valid information from the signal received through the optical receiver 331 based on the modulation information shared with the modulation source signal generator 305. Specifically, the convolution and filtering module 335 filters information corresponding to a significant wave among the received waves based on the modulated information of the source signal, and determines whether or not a correct signal is acquired depending on whether the convolution result is positive or not.
A DoA estimation unit 340 processes the raw data outputted from the convolution and filtering module 335 according to the DoA algorithm for generating the direction and depth map of the reflected wave received at the optical receiver 331.
The depth map generated as a result of data processing by the DoA estimating unit 340 is stored as a rough depth map 350 in the storage, and so on.
The ToF signal analysis unit for different optical patterns 345 processes the raw data according to the ToF algorithm for generating the depth map for all the monitoring scenes.
Further, the ToF signal analysis unit for different optical patterns 345 performs image processing of combining the depth map resulting from the processing with the rough depth map 350.
The depth map resulting from the processing at the ToF signal analysis unit for different optical patterns 345 is stored in a storage, and so on as the precise depth map 355, and the information of the stored precise depth map 355 is outputted to a graphic processing unit, and so on for 3D modeling of the object or gesture recognition.
The projector 420 radiates time and spatial light modulated electromagnetic wave to the monitoring zone 440 in front. Then, the hand 450 present in the monitoring zone 440 receives and reflects electromagnetic wave. The reflected electromagnetic wave is received by the optical receiver 430. The optical device 410 to be implemented is not limited to that shown in
Referring to
The electromagnetic wave radiated from the light source 510 passes through the SLM 520. Specifically, the electromagnetic wave may pass through the SLM 520 for spatial light modulation. In one example, the SLM 520 may be a micromirror array. Further, the SLM 520 may form a plurality of binary patterns by a specific electric signal. In this example, a plurality of binary patterns make up one set. Specifically, the binary patterns determine a portion of the SLM 520 where the IR laser will pass through and a portion to be blocked. Further, a plurality of binary patterns making up one set of patterns are different from each other. Also, one set of patterns is composed such that laser beam is illuminated across the entire area. In other words, one set of binary patterns is composed such that there is no area where the laser beam does not reach.
The electromagnetic wave is spatially modulated by the SLM 520. The spatially modulated, one or a plurality of laser beams 530-1, 530-2 vary according to time. The information of the pattern of the modulated electromagnetic wave and the time information of applying the pattern are used for demodulation of reflected wave signal and ToF computation.
Finally, when the electromagnetic wave modulated at the projector 500 (i.e., the laser beam pattern) is illuminated on the object 540 in the monitoring zone, the pattern of the reflected wave reflected from the object is varied according to the shape of the object. Specifically, unlike the output resulting from receiving the light with maintaining a laser beam pattern and without a delay, when the optical receiver receives the pattern of the reflected wave incident on the specific optical path at a specific angle from the surface of the object having the 3D shape, the resulting output is varied according to the shape of the object. This will be described in greater detail below with reference to
Referring to
Referring to
Next, the reflected wave reflected from the object is received, at 5720. Specifically, the optical device may receive some of the reflected waves which are the irradiated electromagnetic wave impinging on and reflected from the object positioned in the monitoring zone.
Further, the received reflected wave signal is processed to combine the depth map of DoA and the depth map of ToF, at 5730. Specifically, the optical device may generate one depth map by combining the first depth map generated according to the DoA algorithm and the second depth map generated according to the ToF algorithm using a signal of the received reflected wave.
The process of processing the signal of the received reflected wave may include a process of performing a correlation operation using the known impulse response and the actual output of the light receiving element used. In addition, the direction of arrival spectrum for the elevation angle and the azimuth angle may be calculated as a result of the correlation operation. Further, the computation for calculating the direction of arrival spectrum may further include an operation for removing sidelobes.
The depth information generating method described above may generate a high-resolution depth map that is robust against noise, economical, and capable of real-time processing.
Referring to
The light source 820 radiates electromagnetic wave based on the received information.
The radiated electromagnetic wave is also spatially modulated by the pattern generator 830.
The optical system 840 steers such that the modulated electromagnetic wave is propagated to a scene of interest of the monitoring zone where the object 850 is located.
Referring to
The demodulator unit 880 demodulates the electric signal of the optical receivers arrays 870.
The depth map reconstructor 890 reconstructs a depth map based on the demodulated information.
Hereinafter, computation formulas used in the DoA algorithm will be described with reference to
Referring to
Under these conditions, the coordinates according to the distance from the light receiving element located at origin (m=0) and the direction of arrival of the signal may be summarized as shown in the below table.
When the m-th light receiving element receives a signal in the direction of arrival φ from a position located at a distance d, the output is as below.
where, am(φ,t,d) represents a function of the output estimated from the impulse response h(t) when the light receiving element m receives a pulse-shaped incoming wave from one point. Further, a vector {right arrow over (a)} having {am(ϕ,t,d}m=0M-1 of respective light receiving elements as a vector component with respect to one set of all light receiving elements (m=0, . . . , M−1) of the antenna array is referred to as a steering vector.
Meanwhile, referring to Table 1 above, the output of the m-th light receiving element of the antenna array is as below.
That is, the output xm(t) of the m-th light receiving element is the total of the am(ϕ,t,d) for all the incident directions (q=0, . . . , Ql−1) and all distances (l=0, . . . , L−1).
Further, the spectrum of the pulses arriving from the points positioned at the distance dl may be expressed as below.
where, T represents one cycle time of the impulse response of the light receiving element.
In an embodiment of the present disclosure, the function h(t) representing the impulse response of a photodiode constituting the antenna array is as below.
where, when a conventional silica photodiode is used, f=5, T=0.03, and a graph of a function h (f=5, T=0.03, t) is as shown in
Meanwhile, the domain definition of the function am(ψ,t,dl) is [m·D·cos(ϕ)+2dl, m·D·cos(ϕ)+Δ+2dl]. Therefore, the integration section of Equation 3 above may be reduced as below.
Further, in order to compute the integration of Equation 5, below Gaussian quadrature formula may be used.
where, p is an integer (p=0, 1, . . . , n−1) from 0 to n−1, and Dp and dp are coefficients of the Gaussian quadrature formula.
Specifically, the four graphs in
Referring to the graph of x0(t) for the light receiving element at the origin (m=0), the signals of the reflected waves received at three points located at the same distance are superimposed such that the peaks 1210, 1220 of the graph are indicated as magnitude 3. There is a time difference between the signals of the reflected waves received from different distances from each other.
Referring the graph of x1(t) for the light receiving element at m=1 spaced from the origin by D, it can be seen that three peaks 1230 appear in the graph for each of the signals for the three reflected waves located at d0 from the origin and in different directions of arrival of 30, 70, and 120 degrees. Also, it can be seen that three peaks 1240 appear in the graph for each of the signals for each of the three reflected waves located at dl from the origin and in different directions of arrival 40, 85, and 130 degrees.
Referring the graph of x2(t) for the light receiving element at m=2 spaced from the origin by 2D, it can be seen that the time at which the signal arrives, that is, the distance between the peaks 1250, 1260, is greater than x1(t).
Referring the graph of x3(t) for the light receiving element at m=3 spaced from the origin by 3D, it can be seen that the time at which the signal arrives, that is, the distance between the peaks 1270 and 1280, is greater than x2(t).
Referring the
In addition, it can also be seen that the peaks 1340, 1350 and 1360 appear at w values that correspond to the directions of arrival of 40, 85 and 130 degrees in the graph of the spectrum P1(ψ) for the distance (d1=3) from the origin (m=0).
Referring to
Further, an impulse plane wave 1420 incoming from the object toward the optical receiver 1410 is shown.
Further, a wave vector {right arrow over (k)} representing a reflected wave incident on the optical receiver and a radius vector {right arrow over (r)}m representing an m-th light receiving element among a plurality of light receiving elements composing the optical receiver are shown.
In the above example, for convenience of computation, the wave vector {right arrow over (k)} and the radius vector {right arrow over (r)}m are expressed with spherical coordinates having an elevation angle θ and an azimuth angle φ as components.
The wave vector {right arrow over (k)} is as below.
{right arrow over (k)}=(sin(θ)·cos(ϕ),sin(θ)·sin(ϕ),cos(θ)) [Equation 7]
Further, in the (M1 by M2) array antenna, the radius vector {right arrow over (r)}m of the light receiving element m positioned at m1-th position in a horizontal direction and m2-th in a vertical direction is as below.
{right arrow over (r)}
m=(m1D,0,m2D) [Equation 8]
The output of the light receiving element located at the origin (0, 0) is
Further, the distance from the plane incident wave to the m-th light receiving element can be expressed as ({right arrow over (k)}, {right arrow over (r)}m). Thus, the steering vector {right arrow over (a)}(t, θ, ϕ, d) may be represented as below.
where, the scalar product ({right arrow over (k)}, {right arrow over (r)}m) of the two vectors is:
({right arrow over (k)},{right arrow over (r)}m)=D(sin(θ)·cos(ϕ)·m1(m)+cos(θ)·m2(m))
where, m1(m) and m2(m) represent the abscissa and ordinate values of the m-th light receiving element.
Meanwhile, the output vector may be expressed as below.
Further, the spectrum may be computed by the below equation.
First, it is assumed that the antenna array is composed of M1=M2=5, D=2·Δ
Further,
As described above, the DoA estimation algorithm proposed by the present disclosure can generate a wide range of depth maps unlike the conventional ToF camera having a small aperture. Also, unlike the classical DoA, the DoA estimation algorithm can also acquire distance information.
The four light receiving elements constituting the UCA antenna receive signals with an incident angle of φ=60, θ=120 (1820, blue) and φ=60 and θ=120 (1830, green) respectively from the distance (d=20Δ). Further, the output (1810, red) of the light receiving element is the sum of the outputs 1820, 1830 for each signals of the two points. Further, the steering vector {right arrow over (a)}(t, θ, ϕ, d) (black) is for a distance (d=20Δ), and incident angles (φ=50, and θ=50).
In the foregoing description, the below spectrum function is used for comparing the output vector with the steering vector.
where, the subscript 2 in parentheses represents the scalar product of the two vectors in the Hilbert space.
Also, in the present disclosure, the below function is proposed to remove the sidelobes of the spectrum.
Let Equation 12 above be converted as below.
where, <xm, am> is as below:
where, (xm, am) is as below:
In an embodiment of the present disclosure, when the projector is focused on an object, the optical device may irradiate the object with a signal Q=Qθgrid×Qϕgrid of a plurality of modulated laser beams in order to obtain depth information of the object. At this time, the optical device may irradiate the object while moving the laser beam in a preset direction. Specifically, the optical device may perform a scanning operation for shifting the starting angle for irradiating a plurality of laser beams by N0 times in the direction θ and by Nφ times in direction φ.
A (5×6) laser beam 1920 scans around the object 1910, as shown in
Referring to
In
Comparing the two spectrums of
In
As shown in
In
As shown in
Referring to
Referring to
The optical device 2610 may acquire depth information on a plurality of objects with the method described above.
A device according to the present embodiments may include a processor, a memory for storing and executing program data, a permanent storage such as a disk drive, a communication port for communicating with an external device, a viewer interface device such as a touch panel, a key, button and the like, and so on. Methods implemented with software modules or algorithms may be stored on a computer-readable recording medium as executable computer readable codes or program instructions on the processor. In one example, the computer-readable recording medium includes a magnetic storage medium (e.g., read-only memory (ROM), random-access memory (RAM), floppy disk, hard disk, etc.) and an optical reading medium (e.g., CD-ROM, digital versatile disc (DVD)), and so on. The computer-readable recording medium may be distributed over networked computer systems so that computer readable code may be stored and executed in a distributed method. The medium is readable by a computer, can stored in a memory, and executed on a processor.
The embodiments may be expressed as functional block configurations and various processing steps. These functional blocks may be implemented on a various number of hardware and/or software configurations that perform specific functions. For example, embodiments may employ integrated circuits memory, processing, logic, look-up tables, and so on that may perform various functions by control of one or more microprocessors or other control devices. Similarly to the way in which components may be implemented as software programming or software components, the present embodiments may be implemented in a programming or scripting language such as C, C++, Java, assembler, etc., including various algorithms implemented in a data structure, processes, routines, or a combination of other programming configurations. The functional aspects may be implemented with algorithms running on one or more processors. In addition, the present embodiment may employ conventional technique for electronic environment setting, signal processing, and/or data processing, and so on. Terms such as “mechanism”, “element”, “means”, “configuration” are used extensively and are not limited to mechanical and physical configurations. The terms may include the meaning of a series of routines of software in conjunction with a processor, and so on.
The specific implementations described in the embodiments are illustrative and do not limit the scope of the disclosure in any way. For brevity of description, descriptions of conventional electronic configurations, control systems, software, and other functional aspects of such systems may be omitted. Also, the connections or connection members of the lines between the components shown in the figures are illustrative of functional connections and/or physical or circuit connections, which may possibly be replaced or expressed as variety of additional functional connections, physical connections, or circuit connections in an actual device.
Throughout the description (and particularly, in the claims), the use of the term “the” and similar indication may be applied to both singular and plural expression. In addition, when a range is described, it includes the individual values belonging to the above range (unless specified to the contrary), and the individual values constituting the above range are described in the detailed description. Finally, if there is no explicit order or contradiction to the steps constituting the method, the steps may be performed in the proper order. It is not necessarily limited to the order of the steps described herein. The use of all examples or exemplary terms (e.g., and so on) is merely intended to be illustrative of technical ideas and is not to be limited in scope by the examples or exemplary term, unless it is limited by the claims. It will also be appreciated by those skilled in the art that various modifications, combinations, and alterations may be configured according to design criteria and factors within the scope of the appended claims or equivalents thereof.
Number | Date | Country | Kind |
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10-2015-0080551 | Jun 2015 | KR | national |
Filing Document | Filing Date | Country | Kind |
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PCT/KR2016/001821 | 2/24/2016 | WO | 00 |