December 2012
Intermediate to advanced
631 pages
13h 10m
English
Content preview from Graphics Gems III (IBM Version)
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V.11
CONVERTING BÉZIER TRIANGLES INTO RECTANGULAR PATCHES
Dani Lischinski, Cornell University, Ithaca, New York
Publisher Summary
Bézier triangles and rectangular Bézier patches are both commonly used for representing curved surfaces, but various software products often support only one or the other. This chapter describes a very simple way of converting triangular Bézier surface patches into rectangular ones. Two possible applications are: (1) ray-tracing triangular patches with a raytracer that supports only rectangular patches and (2) displaying triangular patches on graphics hardware that supports only rectangular patches. The chapter explains how to convert quadratic and cubic triangles into biquadratic and bicubic rectangular patches. ...
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