Motivated by applications in architecture and manufacturing, we discuss the problem of
covering a freeform surface by single curved panels. This leads to the new concept of semi …

Line-art illustrations are effective tools for conveying shapes and shading of complex
objects. We present a set of new algorithms to render line-art illustrations of dynamic and …

The crest lines, salient subsets of the extrema of the principal curvatures over their
corresponding curvature lines, are powerful shape descriptors which are widely used for …

The plane–cube intersection problem has been discussed in the literature since 1984 and
iterative solutions to it have been used as part of piecewise linear interface construction …

A new geometry-based finite difference method for a fast and reliable detection of
perceptually salient curvature extrema on surfaces approximated by dense triangle meshes …

the present invention is directed towards methods of creating and optimizing images in a
catadioptric projector system. More specifically, the present invention presents methods of …

This article presents a method for real-time line drawing of deforming objects. Object-space
line drawing algorithms for many types of curves, including suggestive contours, highlights …

Two‐parameter families of straight lines (line congruences) are implicitly present in graphics
and geometry processing in several important ways including lighting and shape analysis. In …

In this paper, we study harmonic evolutes of B-scrolls, that is, of ruled surfaces in Lorentz–
Minkowski space having no Euclidean counterparts. Contrary to Euclidean space where …

Three-dimensional surface meshes are the most common discrete representation of the
exterior of a virtual shape. Extracting relevant geometric or topological features from them …