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1.3 Bézier curves and surfaces

Good introductory books on Bézier/B-spline curves and surfaces are provided by Faux and Pratt [116], Mortenson [276], Ding and Davies [75], Rogers and Adams [348], Beach [21], Nowacki et al. [289] and Lee [231], while for a more comprehensive mathematical introduction to B-splines, Bezier and B-spline curves and surfaces, the reader should refer to textbooks by Yamaguchi [455], Hosaka [173], Risler [346], Farin [92], Hoschek and Lasser [175], Piegl and Tiller [314] and Gallier [121].

Subsections

1.3.1 Bernstein polynomials
1.3.2 Arithmetic operations of polynomials in Bernstein form
1.3.3 Numerical condition of polynomials in Bernstein form
1.3.4 Definition of Bézier curve and its properties
1.3.5 Algorithms for Bézier curves
1.3.6 Bézier surfaces

December 2009