Bezier patch

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The Bézier patch is the surface extension of the Bezier curve. Whereas a curve is a function of one variable and takes a sequence of control points, the patch is a function of two variables with an array of control points. Most of the methods for the patch are direct extensions of those for the curves.

The Bézier patch is the most commonly used surface representation in computer graphics. An understanding of the patch is fundamental to an understanding of this field.

If you are a novice to this field it is suggested that you review the notes on Bézier Curves first, as the equations are easier to understand. Also the fundamental mathematical work on Bernstein Polynomials would be useful.

[1] (http://graphics.idav.ucdavis.edu/education/CAGDNotes/Arbitrary-Bezier-Patch/Arbitrary-Bezier-Patch.html) reference has been linked; [ On-Line Geometric Modeling Notes : THE BÉZIER PATCH ]

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