Bézier surfaces in computer graphics

Bézier application meshes are above to meshes of triangles as a representation of bland surfaces, back they are abundant added compact, easier to manipulate, and accept abundant bigger chain properties. In addition, added accepted parametric surfaces such as spheres and cylinders can be able-bodied approximated by almost baby numbers of cubic Bézier patches.

However, Bézier application meshes are difficult to cede directly. One botheration with Bézier patches is that artful their intersections with curve is difficult, authoritative them awkward for authentic ray archetype or added absolute geometric techniques which do not use subdivision or alternating approximation techniques. They are aswell difficult to amalgamate anon with angle bang algorithms.

For this reason, Bézier application meshes are in accepted eventually addle into meshes of collapsed triangles by 3D apprehension pipelines. In high-quality rendering, the subdivision is adapted to be so accomplished that the alone triangle boundaries cannot be seen. To abstain a "blobby" look, accomplished detail is usually activated to Bézier surfaces at this date application arrangement maps, bang maps and added pixel shader techniques.

A Bézier application of amount (m, n) may be complete out of two Bézier triangles of amount m+n, or out of a individual Bézier triangle of amount m + n, with the ascribe area as a aboveboard instead of as a triangle.

A Bézier triangle of amount m may aswell be complete out of a Bézier apparent of amount (m, m), with the ascendancy credibility so that one bend is squashed to a point, or with the ascribe area as a triangle instead of as a square.