Topic
De Boor's algorithm
About: De Boor's algorithm is a research topic. Over the lifetime, 246 publications have been published within this topic receiving 6967 citations.
Papers published on a yearly basis
Papers
1,836 citations
1,121 citations
TL;DR: In this article, an algorithm for further subdivision of a segment of a B-spline curve or Bspline surface is presented, similar to de Boor's algorithm for the calculation of a point on a curve.
Abstract: For some applications, further subdivision of a segment of a B-spline curve or B-spline surface is desirable. This paper provides an algorithm for this. The structure is similar to de Boor's algorithm for the calculation of a point on a curve. An application of the subdivision is illustrated.
488 citations
Book•
24 Jul 2002
TL;DR: In this article, the authors present an algorithm for multi-sided Bezier patches, based on the de Boor Algorithm and a pyramid algorithm for multidirectional Beziers.
Abstract: Chapter 1. Foundations Chapter 2. Lagrange Interpolation and Neville's Algorithm Chapter 3. Hermite Interpolation and the Extended Neville Algorithm Chapter 4. Newton Interpolation and Difference Triangles Chapter 5. Bezier Approximation and Pascal's Triangle Chapter 6. Blossoming Chapter 7. B-Spline Approximation and the de Boor Algorithm Chapter 8. Pyramid Algorithms for Multi-Sided Bezier Patches
156 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 2 |
| 2020 | 3 |
| 2019 | 4 |
| 2018 | 4 |
| 2017 | 8 |
| 2016 | 6 |