In this paper we identify sources of error in global illumination algorithms and derive bounds for each distinct category. Errors arise from three sources: inaccuracies in the bou...
In this paper we present two novel techniques to improve the quality of triangle surface meshes while preserving surface characteristics as much as possible. In contrast to previo...
Irina B. Semenova, Vladimir V. Savchenko, Ichiro H...
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-d...
Helmut Pottmann, Alexander Schiftner, Pengbo Bo, H...
Let F be a collection of n d-variate, possibly partially defined, functions, all algebraic of some constant maximum degree. We present a randomized algorithm that computes the vert...
We present a simple randomized algorithm which solves linear programs with n constraints and d variables in expected minfO(d 22dn); e 2 pdln(n= p d)+O( p d+lnn)g time in the unit ...