𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quasi 4–8 subdivision

✍ Scribed by Luiz Velho

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
894 KB
Volume
18
Category
Article
ISSN
0167-8396

No coin nor oath required. For personal study only.

✦ Synopsis

This paper presents a new scheme for subdivision surfaces based on four-directional meshes. It combines geometry-sensitive refinement with convolution smoothing. The scheme has a simple, efficient implementation and generates smooth well-shaped meshes.

📜 SIMILAR VOLUMES

4–8 Subdivision
4–8 Subdivision
✍ Luiz Velho; Denis Zorin 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 756 KB
Analysis of quasi-uniform subdivision
Analysis of quasi-uniform subdivision
✍ Adi Levin; David Levin 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 173 KB

We study the smoothness of quasi-uniform bivariate subdivision. A quasi-uniform bivariate scheme consists of different uniform rules on each side of the y-axis, far enough from the axis, some different rules near the y-axis, and is uniform in the y-direction. For schemes that generate polynomials up

Polynomial generation and quasi-interpol
Polynomial generation and quasi-interpolation in stationary non-uniform subdivision
✍ A. Levin 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 211 KB

We study the necessary and sufficient conditions for the generation of polynomials by stationary subdivision schemes, and we show how to derive appropriate quasi-interpolation rules that have the optimal approximation order. We show that these conditions hold in the context of non-uniform subdivisio