An isoperimetric type problem for Bezier curves of degree n

作者：Smarzewski Ryszard^*; Rutka Przemyslaw

来源：Computer Aided Geometric Design, 2010, 27(4): 313-321.

DOI：10.1016/j.cagd.2010.01.002

• Bezier curves
• Restricted isoperimetric problem
• Algorithmic approach
• Matrix pencil problem

We present an efficient algorithm, which solves an isoperimetric type problem in the class of Bezier curves of degree n > 2. This algorithm requires to compute the maximal characteristic value and the corresponding principal vector of a regular pencil problem with block square matrices of dimension 2n - 2. The coordinates of the principal vector determine the control points of the extremal curve, while the characteristic value gives the maximal area bounded by this curve.

• 出版日期2010-5