7 citations · 14 across the 5 of their papers we have counts for
4 papers
Matrix Formula of Differential Resultant for First Order Generic Ordinary Differential Polynomials
Zhi-Yong Zhang, Chun-Ming Yuan, Xiao-Shan Gao
In this paper, a matrix representation for the differential resultant of two generic ordinary differential polynomials and in the differential indeterminate with or…
Certified Approximation of Parametric Space Curves with Cubic B-spline Curves
Liyong Shen, Chunming Yuan, Xiao-Shan Gao
Approximating complex curves with simple parametric curves is widely used in CAGD, CG, and CNC. This paper presents an algorithm to compute a certified approximation to a given par…
Homeomorphic approximation of the intersection curve of two rational surfaces
Liyong shen, Jin-san Cheng, Xiaohong Jia
We present an approach of computing the intersection curve of two rational parametric surface and , one being projectable and hence can easily be…
Intersection Theory in Differential Algebraic Geometry: Generic Intersections and the Differential Chow Form
Xiao-Shan Gao, Wei Li, Chun-Ming Yuan
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension and order with…