Computer Graphics

Chapter 11

Curves and surfaces: Geometric modeling

11.1   Representation of curves and surfaces

11.2   Elements of differential geometry, tangent space, curvature

11.2.1   Differential geometry of curves

11.2.2   Differential geometry of surfaces

11.3   Bezier and Hermite curves and surfaces

11.3.1   Bezier curves

11.3.2   Hermite curves

11.3.3   Bezier surfaces

11.3.4   Hermite surfaces

11.4   Interpolation

11.5   Splines

11.5.1   B-splines

11.5.2   NURBS

11.5.3   Catmull-Rom splines

11.6   Surfaces of revolution

11.7   Subdivision of curves and surfaces

11.7.1   Curve subdivision

11.7.2   Surface subdivision

11.1   Representation of curves and surfaces

There are several forms in which a geometric curve can be specified. The simplest ...