An approach to image coding based on a fractal theory of iterated contractive
transformations defined piecewise is described. The main characteristics of this approach …

Thoroughly revised, this third edition focuses on modern techniques used to generate
synthetic three-dimensional images in a fraction of a second. With the advent of …

Sphere tracing is a new technique for rendering implicit surfaces that uses geometric
distance. Sphere tracing marches along the ray toward its first intersection in steps …

Volume visualization is a method of extracting information from volumetric datasets through
interactive graphics and imaging, and is concerned with the representation, manipulation …

When you think about how far and fast computer science has progressed in recent years, it's
not hard to conclude that a seven-year old handbook may fall a little short of the kind of …

𝑌− 1 1 (𝑥, 𝑦, 𝑧)≥ 0.488603 𝑌0 1 (𝑥, 𝑦, 𝑧)≥ 0.690988 𝑌1 1 (𝑥, 𝑦, 𝑧)≥ 0.488603 𝑌− 2 2
(𝑥, 𝑦, 𝑧)≥ 0.546274 𝑌− 1 2 (𝑥, 𝑦, 𝑧)≥ 0.546274 𝑌0 2 (𝑥, 𝑦, 𝑧)≥ 0.446031 𝑌1 2 (𝑥, 𝑦 …

Abstract We introduce Segment Tracing, a new algorithm that accelerates the classical
Sphere Tracing method for computing the intersection between a ray and an implicit surface …

Object instancing is the efficient method of representing an hierarchical object with a
directed graph instead of a tree. If this graph contains a cycle then the object it represents is …

Voxels as a Computational Representation of Geometry Page 1 Voxels as a Computational
Representation of Geometry Arie E. Kaufman Computer Science Department State University …

This paper presents two performance improvements on sphere tracing. First, a sphere
tracing variant designed to take optimal step sizes near planar surfaces is proposed. We …