Abstract: A system for image reconstruction includes an input for receiving image data, a processor, and a memory. The memory stores instructions that cause the processor to reconstruct an image from the image data using a self-supervised deep learning model.

Abstract: Systems and methods for image reconstruction for parallel MR imaging are disclosed that receive a k-space single-coil measurement dataset that includes at least two k-space single-coil measurement sets, transforming the k-space single-coil measurement dataset to an estimated CSM using a coil sensitivity estimation module, and transforming the k-space single-coil measurement dataset and the estimated CSM into a final MR image using an MRI reconstruction module. In some aspects, the coil sensitivity estimation module and MRI reconstruction module include deep learning neural networks trained without the use of ground truth data.

Abstract: A computer-implemented method of reconstructing magnetic resonance (MR) images of a subject is provided. The method includes executing a neural network model for analyzing MR images, wherein the neural network model is trained with a first subset of training MR images as inputs and a second subset of the training MR images as outputs, wherein each image in the first subset is acquired during a neighboring respiratory phase of at least one of the images in the second subset. The method further includes receiving MR signals, reconstructing crude MR images based on the MR signals, analyzing the crude MR images using the neural network model, deriving clear MR images based on the analysis, wherein the clear MR images include reduced artifacts, compared to the crude MR images, and outputting the clear MR images.

Abstract: Systems and methods for radar systems to produce a radar image of a region of interest (ROI with targets. Sensors to transmit source signals to the ROI and to measure echoes reflected back from the targets corresponding to the transmitted source signals. A processor to calculate an estimate of a noisy and a partial Euclidean Distance Matrix (EDM) of the sensors and the targets. Decompose the noisy and the partial EDM into a low rank EDM that corresponds to locations to actual sensors and target locations, and a sparse matrix of distance errors, using a constrained optimization process. The low rank EDM is mapped into the sensors and the targets locations, to obtain estimated actual sensor locations. Implement an inverse imaging process using the estimated actual sensor locations and the received data, to produce the radar image to output to a communication channel.

Abstract: Systems and methods for a radar system to produce a radar image of a region of interest (ROI). A set of antennas to transmit radar pulses to the ROI and to measure a set of reflections from the ROI corresponding to the transmitted radar pulses. A processor acquires an estimate of the radar image, by matching the reflections of the ROI measurements for each antenna. Determine a set of shifts of the radar image. Wherein each shift corresponds to an antenna, and is caused by an uncertainty in a position of the antenna. Update the estimate of the radar image, based on the determined set of shifts of the radar image. Wherein for each antenna, the estimate of the radar image is shifted by the determined shift of the radar image corresponding to the antenna, that fits the reflections of the ROI measurements of the antenna.

Abstract: Systems and methods for a computer implemented image reconstruction system that includes an input interface to receive measurements of a scene. A memory to store a sparsity enforcing neural network (SENN) formed by layers of nodes propagating messages through the layers. Wherein at least one node of the SENN modifies an incoming message with a non-linear function to produce an outgoing message and propagates the outgoing message to another node of the SENN. Wherein the non-linear function is a dual-projection function that limits the incoming message if the incoming message exceeds a threshold. Such that, the SENN is trained to reconstruct an image of the scene from the measurements of the scene. A processor to process the measurements with the SENN to reconstruct the image of the scene. Finally, an output interface to render the reconstructed image of the scene.

Abstract: A method for fusing measurements of sensors having different resolutions performs jointly a calibration of the sensors and a fusion of the their measurements to produce calibration parameters defining a geometrical mapping between coordinate systems of the sensors and a fused set of measurements that includes the modality of a sensor with resolution greater than its resolution. The calibration and the fusion are performed jointly to update the calibration parameters and the fused set of measurements in dependence on each other.

Abstract: A method propagates a pulse of wave through the material to receive a set of echoes resulted from scattering the pulse by different portions of the material and simulates a propagation of the pulse in the material using a neural network to determine a simulated set of echoes. Each node in a layer of the neural network corresponds to a portion of the material and assigned a value the permittivity of the portion of the material, such that the values of the nodes at locations of the portions form the image of the distribution of the permittivity of the material. The connection between two layers in the neural network models a scattering event. The method updates the values of the nodes by reducing an error between the received set of echoes and the simulated set of echoes to produce an image of the distribution of the permittivity of the material.

Abstract: Systems and methods for fusing a radar image in response to radar pulses transmitted to a region of interest (ROI). The method including receiving a set of reflections from a target located in the ROI. Each reflection is recorded by a receiver at a corresponding time and at a corresponding coarse location. Aligning the set of reflections on a time scale using the corresponding coarse locations of the set of distributed receivers to produce a time projection of the set of reflections for the target. Fitting a line into data points formed from radar pulses in the set of reflections. Determining a distance between the fitted line and each data point. Adjusting the coarse position of the set of distributed receivers using the corresponding distance between the fitted line and each data point. Fusing the radar image using the set of reflections received at the adjusted coarse position.

Abstract: Systems and methods for radar systems to produce a radar image of a region of interest (ROI with targets. Sensors to transmit source signals to the ROI and to measure echoes reflected back from the targets corresponding to the transmitted source signals. A processor to calculate an estimate of a noisy and a partial Euclidean Distance Matrix (EDM) of the sensors and the targets. Decompose the noisy and the partial EDM into a low rank EDM that corresponds to locations to actual sensors and target locations, and a sparse matrix of distance errors, using a constrained optimization process. The low rank EDM is mapped into the sensors and the targets locations, to obtain estimated actual sensor locations. Implement an inverse imaging process using the estimated actual sensor locations and the received data, to produce the radar image to output to a communication channel.

Abstract: Systems and methods for image processing for increasing resolution of a multi-spectral image. Accept a multi-spectral image including a set of images of a scene. A memory to store a set of dictionaries trained for different channels, and a set of filters trained for the different channels. A hardware processor is to process the set of images of the different channels with the set of filters, and to fuse, for each channel, the set of structures, to produce a set of fused structures. Wherein a fused structure of the channel is fused as a weighted combination of the set of structures using weights corresponding to the channel, such that the fused structures of different channels are combined with different weights. To process the set of fused structures with corresponding dictionaries from the set of dictionaries, to produce a super-resolution multi-spectral image. An output interface to render the super-resolution multi-spectral image.

Abstract: Systems and methods for image processing for increasing resolution of a multi-spectral image. Accept a multi-spectral image including a set of images of a scene. A memory to store a set of dictionaries trained for different channels, and a set of filters trained for the different channels. A hardware processor is to process the set of images of the different channels with the set of filters, and to fuse, for each channel, the set of structures, to produce a set of fused structures. Wherein a fused structure of the channel is fused as a weighted combination of the set of structures using weights corresponding to the channel, such that the fused structures of different channels are combined with different weights. To process the set of fused structures with corresponding dictionaries from the set of dictionaries, to produce a super-resolution multi-spectral image. An output interface to render the super-resolution multi-spectral image.

Abstract: Systems and methods for an imaging system including a first sensor to acquire a sequence of images of a first modality. A memory to store a first convolutional memory matrix. Wherein each element of the first convolutional memory matrix is a convolutional function of correspondingly located elements of coefficient matrices of convolutional representation of the images of the first modality, and to store a first dictionary matrix including atoms of the images of the first modality. A processor to transform a first image of a scene acquired by the first sensor as a convolution of the first dictionary matrix and a first coefficient matrix, to update the elements of the first convolutional memory matrix with the convolutional function of correspondingly located non-zero elements of the first coefficient matrix, and to update the dictionary matrix using the updated first convolutional memory matrix.

Abstract: Systems and methods for a radar system to produce a radar image of a region of interest (ROI). A set of antennas to transmit radar pulses to the ROI and to measure a set of reflections from the ROI corresponding to the transmitted radar pulses. A processor acquires an estimate of the radar image, by matching the reflections of the ROI measurements for each antenna. Determine a set of shifts of the radar image. Wherein each shift corresponds to an antenna, and is caused by an uncertainty in a position of the antenna. Update the estimate of the radar image, based on the determined set of shifts of the radar image. Wherein for each antenna, the estimate of the radar image is shifted by the determined shift of the radar image corresponding to the antenna, that fits the reflections of the ROI measurements of the antenna.

Abstract: Systems and methods for image processing including a memory having stored multi-angled view images of a scene. Each multi-angled view image includes pixels, and at least one multi-angled view image includes a clouded area in the scene, resulting in missing pixels. A processor configured to align three multi-angled view images in the multi-angled view images to a target view angle of the scene, to form a set of aligned multi-angled view images representing a target point of view of the scene, at least one aligned multi-angled view image of the at least three multi-angled view images, has missing pixels due to the clouded area. Form a matrix using vectorized aligned multi-angled view images, wherein the matrix is incomplete due to the missing pixels. Complete the matrix using a matrix completion to combine the aligned multi-angled view images to produce a fused image of the scene without the clouded area.

Abstract: Systems and methods for an imaging system including a first sensor to acquire a sequence of images of a first modality. A memory to store a first convolutional memory matrix. Wherein each element of the first convolutional memory matrix is a convolutional function of correspondingly located elements of coefficient matrices of convolutional representation of the images of the first modality, and to store a first dictionary matrix including atoms of the images of the first modality. A processor to transform a first image of a scene acquired by the first sensor as a convolution of the first dictionary matrix and a first coefficient matrix, to update the elements of the first convolutional memory matrix with the convolutional function of correspondingly located non-zero elements of the first coefficient matrix, and to update the dictionary matrix using the updated first convolutional memory matrix.

Abstract: Systems and methods for a computer implemented image reconstruction system that includes an input interface to receive measurements of a scene. A memory to store a sparsity enforcing neural network (SENN) formed by layers of nodes propagating messages through the layers. Wherein at least one node of the SENN modifies an incoming message with a non-linear function to produce an outgoing message and propagates the outgoing message to another node of the SENN. Wherein the non-linear function is a dual-projection function that limits the incoming message if the incoming message exceeds a threshold. Such that, the SENN is trained to reconstruct an image of the scene from the measurements of the scene. A processor to process the measurements with the SENN to reconstruct the image of the scene. Finally, an output interface to render the reconstructed image of the scene.

Abstract: A method and system for fusing sensed measurements includes a depth sensor to acquire depth measurements of a scene as a sequence of frames, and a camera configured to acquire intensity measurements of the scene as a sequence of images, wherein a resolution of the depth sensor is less than a resolution of the camera. A processor searches for similar patches in multiple temporally adjacent frames of the depth measurements, groups the similar patches into blocks using the intensity measurements, increases a resolution of the blocks using prior constraints to obtain increased resolution blocks, and then constructs a depth image with a resolution greater than the resolution of sensor from the increased resolution blocks.

Abstract: A method and system for generating a high resolution two-dimensional (2D) radar image, by first transmitting a radar pulse by a transmit antenna at an area of interest and receiving echoes, corresponding to reflection the radar pulse in the area of interest, at a set of receive arrays, wherein each array includes and a set of receive antennas that are static and randomly distributed at different locations at a same side of the area of interest with a random orientation within a predetermined angular range. The the echoes are sampled for each receive array to produce distributed data for each array. Then, a compressive sensing (CS) procedure is applied to the distributed data to generate the high resolution 2D radar image.

Abstract: Systems and methods for image processing including a memory having stored multi-angled view images of a scene. Each multi-angled view image includes pixels, and at least one multi-angled view image includes a clouded area in the scene, resulting in missing pixels. A processor configured to align three multi-angled view images in the multi-angled view images to a target view angle of the scene, to form a set of aligned multi-angled view images representing a target point of view of the scene, at least one aligned multi-angled view image of the at least three multi-angled view images, has missing pixels due to the clouded area. Form a matrix using vectorized aligned multi-angled view images, wherein the matrix is incomplete due to the missing pixels. Complete the matrix using a matrix completion to combine the aligned multi-angled view images to produce a fused image of the scene without the clouded area.