Title :
A Smooth Surface Based on Biquadratic Patches
Author :
Steinberg, Herbert A.
Author_Institution :
MAGI, Mathematical Applications Group, Inc.
Abstract :
A representation for arbitrary C1 surfaces, using biquadratic patches, is described. The key to this simplification is the introduction of extra knots into the system. Using this representation, the polynomial equation for ray tracing is at most eight degree, in contrast to bicubic, which leads to an eighteenth degree polynomial. The scheme was implemented in the SynthaVision system, where ray tracing is used to generate images.
Keywords :
computer graphics; polynomials; SynthaVision system; arbitrary C1 surfaces; biquadratic patches; image generation; knots; polynomial equation; ray tracing; smooth surface; Application software; Computer graphics; Equations; Polynomials; Ray tracing; Rendering (computer graphics);
Journal_Title :
Computer Graphics and Applications, IEEE
DOI :
10.1109/MCG.1984.275992
