Sampling points on regular parametric curves with control of their distribution

✍ Scribed by Victoria Hernández-Mederos; Jorge Estrada-Sarlabous

• Book ID: 104304982
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 282 KB
• Volume: 20
• Category: Article
• ISSN: 0167-8396
• DOI: 10.1016/s0167-8396(03)00079-7

✦ Synopsis

We propose an iterative algorithm to generate a sequence of a prescribed number of points on a parametric curve with control of their distribution. Our algorithm depends on a free parameter which controls the achievement of a final distribution of points lying between two extreme cases: uniform arc length distribution and bending energy dependent distribution. This is obtained by computing a reparametrization function that interpolates the inverse of the arc length function at equidistant arguments. The proposed reparametrization function is a C 1 rational linear spline, therefore if the original curve is a NURBS then the reparametrized curve is also a NURBS of the same degree, but with an enlarged set of knots.