Computer graphics methods and systems using quasi-monte carlo methodology

A computer-implemented method of generating a pixel value for a pixel in an image, the pixel value being representative of a point in a scene as recorded on an image plane of a simulated camera, the method comprising:

• A. a sample point generation step of generating a set of sample points, at least one sample points being generated using at least one dependent sample, the at least one dependent sample comprising at least one element of a low-discrepancy sequence offset by at least one element of another low-discrepancy sequence;
• and
• B. a function evaluation step of generating at least one value representing an evaluation of a selected function at one of the sample points generated during the sample point generation step, the value generated during the function evaluation step corresponding to the pixel value.

A computer program product for use in connection with a computer to provide a computer graphic system for generating a pixel value for a pixel in an image, the pixel value being representative of a point in a scene as recorded on an plane of a simulated camera, the computer program product comprising a computer-readable medium having encoded thereon:

• A. a sample point generator module configured to enable the computer to generate a set of sample points, at least one sample points being generated using at least one dependent sample, the at least one dependent sample comprising at least one element of a low-discrepancy sequence offset by at least one element of another low-discrepancy sequence;
• and
• B. a function evaluator module configured to enable the computer to generate at least one value representing an evaluation of a selected function at one of the sample points generated by said sample point generator, the value generated by the computer corresponding to the pixel value.