An improvement on the upper bounds of the partial derivatives of NURBS surfaces

An improvement on the upper bounds of the partial derivatives of NURBS surfaces

The Non-Uniform Rational B-spline (NURBS) surface not only has the characteristics of the rational Bezier surface, but also has changeable knot vectors and weights, which can express the quadric surface accurately. In this paper, we investigated new bounds of the first-and second-order partial deriv...

Full description

Saved in:
Bibliographic Details
Main Authors: Tian, Ye, Ning, Tao, Li, Jixing, Zheng, Jianmin, Chen, Zhitong
Other Authors: School of Computer Science and Engineering
Format: Article
Language:English
Published: 2021
Subjects:
Engineering::Computer science and engineering
NURBS Surfaces
B-spline Basis Function
Online Access:https://hdl.handle.net/10356/146177
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Nanyang Technological University
Language: English
Description
Summary:The Non-Uniform Rational B-spline (NURBS) surface not only has the characteristics of the rational Bezier surface, but also has changeable knot vectors and weights, which can express the quadric surface accurately. In this paper, we investigated new bounds of the first-and second-order partial derivatives of NURBS surfaces. A pilot study was performed using inequality theorems and degree reduction of B-spline basis functions. Theoretical analysis provides simple forms of the new bounds. Numerical examples are performed to illustrate that our method has sharper bounds than the existing ones.

Similar Items