Bandlimited texture slicing for computer graphics

A method of creating a data set adapted to be used to create a computer generated image that includes characteristic information of pixels, wherein the characteristic information of at least a portion of the pixels is determined at least in part by sampling the data set, the data set comprising:

• receiving a first data set of M dimensions having a frequency spectrum contained substantially between minimum and maximum frequency values in at least a portion of the M dimensions;
• using a processor, defining a slice of the first data set including a sample point, wherein the slice has N dimensions, wherein N is less than M;
• using a processor, defining at least one normal vector for the sample point;
• and
• using a processor, determining a value of the sample point of the slice by evaluating an integral of the first data set weighted by a filter scaling function, wherein the filter scaling function is centered at the sample point and orientated in a direction of the normal vector, wherein the value of the sample contributes to at least a portion of the characteristic information of a pixel.