Abstract We are dealing with the optimal, i.e. densest packings of congruent circles into the unit square. In the recent years we have built a numerically reliable, verified method...
This paper presents a fast and reliable method to trim non-solution regions in an interval ray tracing process. The “trimming algorithm” uses interval analysis to perform rejec...
We present a novel approach to ray tracing execution on commodity graphics hardware using CUDA. We decompose
a standard ray tracing algorithm into several data-parallel stages tha...
Relief mapping using the secant method offers an efficient method for adding per pixel height field based displacement to an arbitrary polygonal mesh in real time. The technique...
This paper discusses how interval analysis can be used to solve a wide variety of problems in computer graphics. These problems include ray tracing, interference detection, polygo...