29 citations · 56 across the 6 of their papers we have counts for
6 papers
Reduction of the Finite Generation Problem for Leading Term Ideals under Arbitrary Rational Monomial Orders to the Lexicographic
Xiaopeng Zheng
A commutative ring is called a Gröbner ring if, for every , the leading term ideal of every finitely generated ideal of is finitely generated with…
Two improvements of the foliation based quad meshing method
Xiaopeng Zheng, Hao Wang, Peng Zheng +4
Quadrilateral meshes with high level structure and feature preserving property benefit industrial applications the most. Generation of such quad mesh remains a challenge. Quad mesh…
Quadrilateral Mesh Generation III: Optimizing Singularity Configuration Based on Abel-Jacobi Theory
Xiaopeng Zheng, Yiming Zhu, Na Lei +2
This work proposes a rigorous and practical algorithm for generating meromorphic quartic differentials for the purpose of quad-mesh generation. The work is based on the Abel-Jacobi…
Quadrilateral Mesh Generation II : Meromorphic Quartic Differentials and Abel-Jacobi Condition
Na Lei, Xiaopeng Zheng, Zhongxuan Luo +2
This work discovers the equivalence relation between quadrilateral meshes and meromorphic quartic. Each quad-mesh induces a conformal structure of the surface, and a meromorphic di…
Metric Based Quadrilateral Mesh Generation
Wei Chen, Xiaopeng Zheng, Jingyao Ke +3
This work proposes a novel metric based algorithm for quadrilateral mesh generating. Each quad-mesh induces a Riemannian metric satisfying special conditions: the metric is a flat…
The vanishing ideal of a finite set of points with multiplicity structures
Na Lei, Xiaopeng Zheng, Yuxue Ren
Given a finite set of arbitrarily distributed points in affine space with arbitrary multiplicity structures, we present an algorithm to compute the reduced Groebner basis of the va…