摘要
借助三维重心坐标的特性,将二维双有理映射的结果推广到三维凸六面体的情形下,即给凸六面体上的每个顶点赋予适当的权值,从而得到凸六面体上的一个三线性双有理映射;此外,通过一个实例说明了该方法的有效性。
Based on the knowledge of three dimensional generalized barycentric coordinates,the results of birational trilinear mapping on planar quadrilateral were generalized to three dimensional convex hexahedron,namely,by assigning a suitable weight to every vertex of convex hexahedron,a three dimensional birational mapping was achieved.In addition,an example was given to illustrate the correctness of this method.
出处
《计算机科学》
CSCD
北大核心
2018年第3期67-68,91,共3页
Computer Science
基金
国家自然科学基金(61772167)资助
关键词
重心坐标
双有理映射
凸六面体
权值
Barycentric coordinates
Birational mapping
Convex hexahedron
Weight