Abstract
The Bezier curve is one of the most commonly used parametric curves in CAGD and Computer Graphics and has many good properties for shape design. Developing more convenient techniques for designing and modifying Bezier curve is an important problem, and is also an important research issue in CAD/CAM and NC technology fields. This work investigates the optimal shape modification of Bezier curves by geometric constraints. This paper presents a new method by constrained optimization based on changing the control points of the curves. By this method, the authors modify control points of the original Bezier curves to satisfy the given constraints and modify the shape of the curves optimally. Practical examples are also given.
Published Version
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