June 1995
Intermediate to advanced
438 pages
10h 53m
English
Content preview from Graphics Gems V (IBM Version)
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Introduction to Curves and Surfaces
The gems in this section describe curves and surfaces. This is the book’s largest contributed section. The gems chosen support a straightforward machine implementation of the methods presented.
In the first two gems, Goldman catalogs the identities that underlie the univariate and bivariate Bernstein ( IV.1) and the B-spline ( IV.2) basis functions. The entries include historical citations. Their compact notation (and the parallel treatment in IV.1) add further value by better revealing the deep structure of these important models. Turkowski ( IV.3) derives an equation for circular arc “bending” of arcs bisected from a parent of known bend. By this equation, recursive binary subdivision may be directly employed ...
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