System and method for generating pixel values for pixels in an image using strictly deterministic methodologies for generating sample points

A computer program product for use in connection with a computer to provide a computer graphics system for generating a pixel value for a pixel in an image, the pixel being representative of a point in a scene, the computer graphics system generating the pixel value to provide a depth of field that is represented by an evaluation of an integral of a selected function over an area of a lens, the computer program product comprising a computer-readable medium having encoded thereon:

• A. computer-readable instructions executable to enable the computer to provide a sample point generator for generating a set of sample points representing points on the area of the lens, the sample point generator using a predetermined strictly-deterministic low-discrepancy sequence to generate the sample points;
• B. computer-readable instructions executable to enable the computer to provide a function evaluator for generating a plurality of function values each representing an evaluation of said selected function at one of the sample points generated by said sample point generator;
• C. computer-readable instructions executable to enable the computer to provide a luminance value generator for generating a luminance value for the pixel as the average of said function values generated by said function evaluator;
• and
• D. computer-readable instructions executable to enable the computer to provide a pixel value generator for using the luminance value generated for the point in the scene in generating the pixel value.

A computer program product for use in connection with a computer to provide a computer graphics system for generating a pixel value for a pixel in an image, the pixel being representative of a point in a scene, the computer graphics system generating the pixel value to provide a motion blur that is represented by an evaluation of an integral of a selected function over a selected time interval, the computer program product comprising a computer-readable medium having encoded thereon:

• A. computer-readable instructions executable to enable the computer to provide a sample point generator for generating a set of sample points representing points on the time interval, the sample point generator using a predetermined low-discrepancy strictly-deterministic sequence to generate the sample points;
• B. computer-readable instructions executable to enable the computer to provide a function evaluator for generating a plurality of function values each representing an evaluation of said selected function at one of the sample points generated by said sample point generator;
• C. computer-readable instructions executable to enable the computer to provide a luminance value generator for generating a luminance level value for the pixel as the average of said function values generated by said function evaluator;
• and
• D. computer-readable instructions executable to enable the computer to provide a pixel value generator for using the luminance value generated for the point in the scene in generating the pixel value.

A computer program product for use in connection with a computer to provide a computer graphics system for generating a pixel value for a pixel in an image, the pixel being representative of a point in a scene, the computer graphics system generating the pixel value to provide a jittering that is represented by an evaluation of an integral of a selected function over an area in the image for the pixel, the computer program product comprising a computer-readable medium having encoded thereon:

• A. computer-readable instructions executable to enable the computer to provide a sample point generator for generating a set of sample points representing points in a plurality of contiguous pixels in the image, the plurality of contiguous pixels including the pixel for which the pixel value is to be generated, the sample point generator using a predetermined strictly-deterministic low-discrepancy sequence to generate the sample points;
• B. computer-readable instructions executable to enable the computer to provide a function evaluator for generating a plurality of function values each representing an evaluation of said selected function at one of the sample points generated by said sample point generator;
• and
• C. computer-readable instructions executable to enable the computer to provide a pixel value generator for generating the pixel value for the pixel as the average of said function values generated by said function evaluator.