典型文献
Constructing self-supporting surfaces with planar quadrilateral elements
文献摘要：
We present a simple yet effective method for constructing 3D self-supporting surfaces with planar quadrilateral(PQ)elements.Starting with a triangular discretization of a self-supporting surface,we first compute the principal curvatures and directions of each triangular face using a new discrete differential geometry approach,yielding more accurate results than existing methods.Then,we smooth the principal direction field to reduce the number of singularities.Next,we partition all faces into two groups in terms of principal curvature difference.For each face with small curvature difference,we compute a stretch matrix that turns the principal directions into a pair of conjugate directions.For the remaining triangular faces,we simply keep their smoothed principal directions.Finally,applying a mixed-integer programming solver to the mixed principal and conjugate direction field,we obtain a planar quadrilateral mesh.Experimental results show that our method is computationally efficient and can yield high-quality PQ meshes that well approximate the geometry of the input surfaces and maintain their self-supporting properties.
文献关键词：
中图分类号：
作者姓名：
Long Ma;Sidan Yao;Jianmin Zheng;Yang Liu;Yuanfeng Zhou;Shi-Qing Xin;Ying He
作者机构：
School of Software,Shandong University,Jinan 250101,China;School of Computer Science and Engineering,Nanyang Technological University,Singapore 639798,Singapore;Internet Graphics Group,Microsoft Research Asia,Beijing 100080,China;School of Computer Science and Technology,Shandong University,Qingdao 266237,China
文献出处：
引用格式：
[1]Long Ma;Sidan Yao;Jianmin Zheng;Yang Liu;Yuanfeng Zhou;Shi-Qing Xin;Ying He-.Constructing self-supporting surfaces with planar quadrilateral elements)[J].计算可视媒体（英文）,2022(04):571-583
A类：
B类：
Constructing,self,supporting,surfaces,planar,quadrilateral,elements,We,present,simple,yet,effective,constructing,PQ,Starting,triangular,discretization,first,compute,principal,curvatures,directions,each,using,new,discrete,differential,geometry,approach,yielding,more,accurate,results,than,existing,methods,Then,field,reduce,number,singularities,Next,partition,into,two,groups,terms,difference,For,small,stretch,matrix,that,turns,pair,conjugate,remaining,simply,keep,their,smoothed,Finally,applying,mixed,integer,programming,solver,obtain,Experimental,show,our,computationally,efficient,can,high,quality,meshes,well,approximate,input,maintain,properties
AB值：
0.545677
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
