Geometric Continuity for Surfaces
The concept of geometric continuity is not restricted to curves. Surfaces in this regard are much more complex to deal with, so we will restrict ourselves to the case of first-order geometric continuity. Here are some pointers to the literature: Boehm [77], Charrot and Gregory [110], DeRose [161], Farin [190], Gregory [291], Hahn [306], Herron [322], Liu and Hoschek [395], Kahmann [350], Kiciak [356], Jensen [343], Jones [349], Nielson [447], Piper [483], Sarraga [536], [537], Shirman and Séquin [573], van Wijk [594], Vinacua and Brunet [603], and Veron et al. [600].
20.1 Introduction
Let us take a look at Figure 20.1. It shows the (potential) boundary curves of two cubic triangular Bézier patches. In each, ...
Get Curves and Surfaces for CAGD, 5th Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
