Subdivision Methods for Geometric Design: A Constructive Approach

By Joe D. Warren, Henrik Weimer. 2001

344 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/f71dfb993905a06150268a2b20cfd17b2462721c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Wolfgang Dornisch
2. Z. Zou
3. Michael A. Scott
4. Alexander I. Bobenko
5. Bastian Oesterle
6. Günter M. Ziegler
7. Johannes Wallner
8. Di Miao

Citations in the corpus

• An isogeometric Reissner–Mindlin shell element based on Bézier dual basis functions: Overcoming locking and improved coarse mesh accuracy (2020, methodology): “CAD technologies like Non-Uniform Rational B-splines (NURBS) [24], subdivision surfaces [25], and T-splines [26, 27] make it possible to define smooth higher-order basis functions over both structured and unstructured meshes.”
• Discrete Differential Geometry (2008, methodology): “[ 16 ] B. Rodin and D. Sullivan, The convergence of circle packings to the Riemann mapping, J.”
• Smoothness Analysis of Subdivision Schemes by Proximity (2006, background): “Especially well studied are the linear schemes with rules for defining the control points at the finer level as finite linear combinations of control points in the coarser level — see e.g. [7], [24], and [12].”