![]() Sample Bézier surface red – control points, blue – control grid, black – surface approximationĪ given Bézier surface of degree ( n, m) is defined by a set of ( n + 1)( m + 1) control points k i, j where i = 0. Bézier surfaces can be of any degree, but bicubic Bézier surfaces generally provide enough degrees of freedom for most applications. They are visually intuitive, and for many applications, mathematically convenient.īézier surfaces were first described in 1962 by the French engineer Pierre Bézier who used them to design automobile bodies. ![]() Similar to interpolation in many respects, a key difference is that the surface does not, in general, pass through the central control points rather, it is "stretched" toward them as though each were an attractive force. ( March 2013) ( Learn how and when to remove this template message)īézier surfaces are a species of mathematical spline used in computer graphics, computer-aided design, and finite element modeling.Īs with Bézier curves, a Bézier surface is defined by a set of control points. Please help to improve this article by introducing more precise citations. This article includes a list of references, related reading or external links, but its sources remain unclear because it lacks inline citations.
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