In plane elementary geometry, the concept of similar triangles not only forms an important foundation for trigonometry, but it also can be used to solve many geometric problems. T...
In recent years, there has been an increasing interest in developing geometric algorithms for kinematic computations. The aim of this paper is to present the notion of kinematic c...
The differential geometry of smooth three-dimensional surfaces can be interpreted from one of two perspectives: in terms of oriented frames located on the surface, or in terms of ...
Jingyi Yu, Xiaotian Yin, Xianfeng Gu, Leonard McMi...
In this note we discuss the information needed to compute the homology groups of a topological space. We argue that the natural class of spaces to consider are the compact absolut...
We present a simple yet effective snapping technique for constraining the motion of the cursor of an input device to the surface of 3D models whose geometry is arbitrarily deforme...