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...
This paper presents a new method to compute constructive solid geometry (CSG) tree representations of an object whose faces consist of planar and non-planar surfaces. The algorith...
Geodesic curves in surfaces are not only minimizers of distance, but they are also the curves of zero geodesic (sideways) curvature. It turns out that this property makes patterns...
Helmut Pottmann, Qixing Huang, Bailin Deng, Alexan...
We present a competitive strategy for walking into the kernel of an initially unknown star-shaped polygon. From an arbitrary start point, s, within the polygon, our strategy find...
Abstract. In this study we compared human discrimination performance for real and virtual curved shapes. To simulate a curved shape we used a device that could independently orient...
Maarten W. A. Wijntjes, Akihiro Sato, Astrid M. L....