O'Reilly logo

Handbook of Computer Aided Geometric Design by M.-S. Kim, J. Hoschek, G. Farin

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter 8

Geometric Continuity

Jörg Peters

This chapter covers geometric continuity with emphasis on a constructive definition for piecewise parametrized surfaces. section 8.1 gives examples that show the need for a notion of continuity different from matching of Taylor expansions as in the case of functions. section 8.2 defines geometric continuity for parametric curves, and for surfaces, first along edges, then around points, and finally for a whole complex of patches which is called a Gk free-form surface spline. Here Gk characterizes a relation between specific maps while Ck continuity is a property of the resulting surface. The composition constraint on reparametrizations and the vertex-enclosure constraints are highlighted. section 8.3 ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required