Compressive sensing optical design and simulation tool

A computer implemented method for designing optical systems comprising:

• generating a mathematical model of an imaging system;
• tracing, using a computer, a plurality of light rays from a source through the model of the imaging system in a forward direction and a backward direction incident upon an arbitrarily defined detector location;
• calculating, using the computer, total light rays incident upon the arbitrarily defined detector location in response to the plurality of light rays;
• tracing, using the computer, a series of calibration images through a computational imaging system mathematical model or a compressive imaging system mathematical model;
• calculating, using the computer, an output set of parameters based on a plurality of detected rays or calibration images at the arbitrarily defined detector location;
• storing the output set of parameters in memory;
• determining, using the computer, a system transfer function;
• processing, using the computer, a plurality of simulated test images;
• applying, using the computer, the model of the imaging system to the plurality of simulated test images;
• tracing, using the computer, the plurality of simulated test images via the mathematical model;
• storing the simulated set of test images in memory;
• applying, using the computer, the system transfer function to a plurality of simulated test images output from the tracing step;
• reconstructing, using the computer, the plurality of simulated test images to design an optical system;
• and
• designing, using the computer, a computational imaging or a compressive imaging optical system using the reconstructed plurality of simulated test images.

A non-transitory computer-readable storage medium having stored thereon instructions which, when executed by one or more processing units in a computer, cause the one or more processing units to perform a method for designing a computational imaging or a compressive imaging optical system, comprising:

• generating a mathematical model of an imaging system;
• tracing a plurality of light rays from a source through the model of the imaging system in a forward direction and a backward direction incident upon an arbitrarily defined detector location;
• calculating the total light rays incident upon the arbitrarily defined detector location in response to the plurality of light rays;
• tracing a series of calibration images through a computational imaging system mathematical model or a compressive imaging system mathematical model;
• calculating an output set of parameters based on a plurality of detected rays or calibration images at the defined detector location;
• storing the output set of parameters in memory;
• determining a system transfer function;
• and
• developing a merit function from one or more user defined features;
• and
• designing a computational imagine or a compressive image optical system using the system transfer function and merit function.