The limitations placed on control point position to ensure continuity between neighboring surfaces is well-known and easy to enforce. The surface between the edges is controlled by a simple proportion of nearby control points. The bounding curves of the surface are Bézier curves dictated purely by the control points at the edge. They are defined by a square grid of control points. They are a nice balance between simplicity and complexity, providing freedom for the artist with a minimal amount of complexity for the programmer and renderer.īézier surfaces are just about as simple as you can get for curved surfaces. Using bicubic Bézier surfaces instead of other surface types makes a lot of sense. These are all fun and interesting things to play with, but we'll concentrate on Bézier surfaces in this article. Bézier surfaces use two independent parameters, and three parameters will generate a Bézier solid. A Bézier curve is defined by a set of parametric equations that use one parameter. Bézier surfaces are biparametric, and you'll need to understand the use of parametric equations before this discussion will make any sense. If you're not familiar with drawing curves using parametric equations, please refer to the references at the end of this article.
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