Accurate and robust interference detection and ray-tracing of subdivision surfaces requires safe linear approximations. Approximation of the limit surface by the subdivided contro...
Given a nonsingular compact two-manifold F without boundary, we present methods for establishing a family of surfaces which can approximate F so that each approximant is ambient i...
Takis Sakkalis, Thomas J. Peters, Justin Bisceglio
In this paper, we propose a general framework for approximating differential operator directly on point clouds and use it for geometric understanding on them. The discrete approxi...
Many applications produce three-dimensional points that must be further processed to generate a surface. Surface reconstruction algorithms that start with a set of unorganized poi...
Edge detection in images has been a fundamental problem
in computer vision from its early days. Edge detection
on surfaces, on the other hand, has received much less attention.
...