Chapter 4

Bézier Techniques

Dianne Hansford

This chapter introduces the fundamentals of Bézier techniques. As a core tool of 3D Modeling, Bézier techniques provide a geometric-based method for describing and manipulating polynomial curves and surfaces.

4.1 WHY B éZIER TECHNIQUES?

B ézier techniques bring sophisticated mathematical concepts into a highly geometric and intuitive form. From a practical standpoint, this form facilitates the creative design process. Equally as important, Bézier techniques are an excellent choice in the context of numerical stability of floating point operations.1 For these reasons, Bézier techniques are at the core of 3D Modeling or Computer Aided Geometric Design (CAGD).

This chapter provides a thorough review ...

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