Compressive Sense Imaging

Abstract

Systems and methods for compressive sense imaging are provided. In one aspect, incident light reflecting from an object is received via an aperture array and a sensor and intermediate compressive measurements are generated using compressive sequence matrices that are determined based on the properties of the aperture array and the sensor. The intermediate compressive measurements are further processed to generate compressive measurements representing the compressed image of the object. An uncompressed image of the object is generated from the compressive measurements using a determined reconstruction matrix that is different from the sequence matrices used to acquire the intermediate compressive measurements.

1 . A compressive sense imaging system, the system comprising:
 a processing device configured to:
 generate a plurality of sequence matrices; 
 determine a plurality of intermediate compressive measurements using the plurality of sequence matrices; and, 
 generate a plurality of compressive measurements representing a compressed image of an object using the plurality of intermediate compressive measurements. 
   
     
     
         2 . The compressive sense imaging system of  claim 1 , wherein the processing device is further configured to:
 generate an uncompressed image of the object from the plurality of compressive measurements using a reconstruction basis matrix.   
     
     
         3 . The compressive sense imaging system of  claim 1 , wherein the processing device is further configured to:
 determine a kernel matrix based on properties of an aperture array of aperture elements and a sensor, and,   generate a sensing matrix using the kernel matrix and a reconstruction basis matrix.   
     
     
         4 . The compressive sense imaging system of  claim 3 , wherein the processing device is configured to:
 decompose the sensing matrix to generate the plurality of sequence matrices.   
     
     
         5 . The compressive sense imaging system of  claim 3 , wherein the processing device is configured to:
 determine a sensitivity function for the sensor;   determine at least one characteristic function for at least one of the aperture elements of the aperture array;   compute a kernel function by performing a convolution operation using the sensitivity function and the at least one characteristic function; and,   determine the kernel matrix using the kernel function and an image.   
     
     
         6 . The compressive sense imaging system of  claim 2 , wherein the processing device is further configured to:
 apply a sparsifying operator to generate the uncompressed image of the object from the plurality of compressive measurements using the reconstruction basis matrix.   
     
     
         7 . The compressive sense imaging system of  claim 1 , further comprising:
 a lensless camera unit including an aperture array of aperture elements and a sensor for detecting light passing through the aperture elements of the aperture array.   
     
     
         8 . The compressive sense imaging system of  claim 7 , wherein the processing device is further configured to:
 selective enable or disable one or more of the aperture elements of the aperture array based on at least one basis in a sequence matrix to acquire at least one of the plurality of intermediate compressive measurements during a time period, the at least one of the plurality of intermediate compressive measurements being determined based on an aggregated sum of light detected by the sensor during the time period.   
     
     
         9 . The compressive sense imaging system of  claim 7 , wherein the aperture array is a micro-mirror array. 
     
     
         10 . The compressive sense imaging system of  claim 7 , wherein the aperture array is a LCD array. 
     
     
         11 . A method for compressive sense imaging, the method comprising:
 generating, using a processor, a plurality of sequence matrices;   determining a plurality of intermediate compressive measurements using the plurality of sequence matrices; and,   generating a plurality of compressive measurements representing a compressed image of an object using the plurality of intermediate compressive measurements.   
     
     
         12 . The method of  claim 11 , further comprising:
 generating an uncompressed image of the object from the plurality of compressive measurements using a reconstruction basis matrix.   
     
     
         13 . The method of  claim 11 , further comprising:
 determining a kernel matrix based on properties of an aperture array of aperture elements and a sensor, and,   generating a sensing matrix using the kernel matrix and a reconstruction basis matrix.   
     
     
         14 . The method of  claim 13 , further comprising:
 decomposing the sensing matrix to generate the plurality of sequence matrices.   
     
     
         15 . The method of  claim 13 , further comprising:
 determining a sensitivity function for the sensor;   determining at least one characteristic function for at least one of the aperture elements of the aperture array;   computing a kernel function by performing a convolution operation using the sensitivity function and the at least one characteristic function; and,   determining the kernel matrix using the kernel function and an image.   
     
     
         16 . The method of  claim 12 , further comprising:
 applying a sparsifying operator to generate the uncompressed image of the object from the plurality of compressive measurements using the reconstruction basis matrix.   
     
     
         17 . The method of  claim 11 , further comprising:
 selectively enabling or disabling one or more aperture elements of an aperture array based on at least one basis in a sequence matrix to determine at least one of the plurality of intermediate compressive measurements during a time period, the at least one of the plurality of intermediate compressive measurements being determined based on an aggregated sum of light detected by a sensor during the time period.   
     
     
         18 . A non-transitory computer-readable medium including one or more instructions for configuring a processor for:
 generating a plurality of sequence matrices;   determining a plurality of intermediate compressive measurements using the plurality of sequence matrices; and,   generating a plurality of compressive measurements representing a compressed image of an object using the plurality of intermediate compressive measurements.   
     
     
         19 . The non-transitory computer-readable medium of  claim 18 , including one or more instructions for further configuring the processor for:
 generating an uncompressed image of the object from the plurality of compressive measurements using a reconstruction basis matrix.   
     
     
         20 . The non-transitory computer-readable medium of  claim 18 , including one or more instructions for further configuring the processor for:
 determining a kernel matrix based on properties of an aperture array of aperture elements and a sensor;   generating a sensing matrix using the kernel matrix and a reconstruction basis matrix; and,   decomposing the sensing matrix to generate the plurality of sequence matrices.