Simple matrix method for stray-light correction in imaging instruments
First Claim
1. A simple matrix method for stray-light correction in an imaging instrument, comprising the steps of:
- determining a set of point spread functions for the imaging instrument;
deriving a stray-light distribution function for each of said point spread functions;
transforming each said stray-light distribution function into a one-dimensional column vector;
based on the derived stray-light distribution functions and one-dimensional column vector, obtaining a stray-light distribution matrix;
deriving a stray-light correction matrix, including inverting the stray-light distribution matrix and an identity matrix; and
based on the derived stray-light correction matrix, correcting stray light errors in an image from the imaging instrument.
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Abstract
A simple matrix method and computer program product for stray-light correction in imaging instruments is provided. The stray-light correction method includes receiving raw signals from an imaging instrument and characterizing the imaging instrument for a set of point spread functions. For high resolution imaging instruments, the raw signals may be compressed to reduce the size of the correction matrix. Based on stray-light distribution functions derived from the point spread functions, a correction matrix is derived. This fast correction is performed by a matrix multiplication to the measured raw signals, and may reduce stray-light errors by more than one order of magnitude. Using the stray-light corrected instrument, significant reductions may be made in overall measurement uncertainties in radiometry, colorimetry, photometry and other applications. Because the PSFs may include other types of undesired responses, the stray-light correction also eliminates other types of errors, e.g., interreflection between a CCD and the detector window.
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Citations
24 Claims
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1. A simple matrix method for stray-light correction in an imaging instrument, comprising the steps of:
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determining a set of point spread functions for the imaging instrument; deriving a stray-light distribution function for each of said point spread functions; transforming each said stray-light distribution function into a one-dimensional column vector; based on the derived stray-light distribution functions and one-dimensional column vector, obtaining a stray-light distribution matrix; deriving a stray-light correction matrix, including inverting the stray-light distribution matrix and an identity matrix; and based on the derived stray-light correction matrix, correcting stray light errors in an image from the imaging instrument. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9)
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10. A computer program product comprising a non-transitory computer useable medium having computer readable code embodied therein for a simple matrix method for stray-light correction, the computer program product comprising:
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point spread function code for causing the computer to determine a set of point spread functions for the imaging instrument; stray-light distribution function code for causing the computer to derive a stray-light distribution function for each of said point spread functions; transformation code for transforming each said stray-light distribution function into a one-dimensional column vector; stray-light distribution matrix code for causing the computer to obtain a stray-light distribution matrix based on the derived stray-light distribution functions and one-dimensional column vector; stray-light correction matrix code for causing the computer to derive a stray-light correction matrix, including code for causing the computer to invert the stray-light distribution matrix and an identity matrix; and image correction code for causing the computer to correct stray light errors in an image from the imaging instrument, the correction being based on the derived stray-light correction matrix. - View Dependent Claims (11, 12, 13, 14, 15, 16)
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17. A simple matrix method for stray-light correction in an imaging instrument, comprising the steps of:
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receiving, from the imaging instrument, measured raw signals of a light source; binning or compressing the measured raw signals to reduce the number of measured raw signals; based on the binned/compressed raw signals, determining a set of point spread functions for the imaging instrument; deriving a stray-light distribution function for each of said point spread functions; transforming each said stray-light distribution function into a one-dimensional column vector; based on the derived stray-light distribution functions and one-dimensional column vector, obtaining a stray-light distribution matrix; deriving a stray-light correction matrix, including inverting the stray-light distribution matrix and an identity matrix; and based on the derived stray-light correction matrix, correcting stray light errors in an image from the imaging instrument. - View Dependent Claims (18, 19, 20, 21)
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22. A simple matrix method for stray-light correction in an imaging instrument, comprising the steps of:
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receiving, from the imaging instrument, measured raw signals of a light source; based on the raw signals, determining a set of point spread functions for the imaging instrument; deriving a stray-light distribution function for each of said point spread functions; transforming each said stray-light distribution function into a one-dimensional column vector; based on the derived stray-light distribution functions and one-dimensional column vector, obtaining a stray-light distribution matrix; deriving a stray-light correction matrix, including inverting the stray-light distribution matrix and an identity matrix, wherein the stray-light correction matrix includes a number of elements; applying a binning or compression technique to reduce the number of elements in the correction matrix; and based on the binned stray-light correction matrix, correcting stray light errors in an image from the imaging instrument. - View Dependent Claims (23, 24)
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Specification