Birational 2D Free-Form Deformation of degree 1 x n

作者：Sederberg, Thomas W.^*; Goldman, Ronald N.; Wang, Xuhui

来源：Computer Aided Geometric Design, 2016, 44: 1-9.

DOI：10.1016/j.cagd.2016.02.020

• Free-Form Deformation
• Birational map

This paper shows that generic 2D-Free-Form Deformations of degree 1 x n can be made birational by a suitable assignment of weights to the Bezier or B-spline control points. An FFD that is birational facilitates operations such as backward mapping for image warping, and Extended Free-Form Deformation. While birational maps have been studied extensively in the classical algebraic geometry literature, this paper is the first to present a family of non-linear birational maps that are flexible enough to be of practical use in geometric modeling.

• 出版日期2016-5
• 单位合肥工业大学