`Web: www.FunctionalElegance.com
Email: Mark@FunctionalElegance.com`

**Computational
Geometry Tools for Decorative Architectural Design
**

Voronoi diagram editor with DXF export to AutoCAD

Architectural sketch with Voronoi shaped windows, by Sheldon Bakos

**Automated Non-photorealistic
Rendering for Image Compression
**

Summary:For use in progressive image compression, these techniques generate a wide variety of image rendering styles, ranging from a hand-painted look to an inlay mosaic, by applying geometric subdivision as well as parametric procedural textures to Voronoi spatial partitions. This approach of image reconstruction from scattered color samples provides for an efficient multiresolution image representation.

Seminar:Automated Artistic Image Rendering

Paper:Stylized Rendering For Multiresolution Image Representation

Play:Progressive Image Rendering QuickTime Movies: "Adaptive Voronoi Diagram", "Lighthouse", "Autumn", and "Lena"

**Computer Visualization
of Quasicrystals
**

Seminar:Generating Aperiodic Tilings Using Quasicrystals

Delaunay triangulation and Delaunay graph of the quasicrystal
point set defined by the H2 Coxeter Group.

**Genetic Algorithms
for Geometric Primitive Detection
**

**Visualization in Number
Theory
**

Source:Luc Devroye's Random Trees

Binary tree of a sequence of random numbers.

Binary tree of the sequence of fractional parts of n*Sqrt(2).

**VoronoImage: A Virtual
Stained Glass Workshop
**

Summary:VoronoImage is a program for the Macintosh which demonstrates an application of computational geometry to rendering a picture into an image resembling a stained glass panel. The technique works through generating a partition tree representing a fractal arrangement of discreet Voronoi diagrams, where each Voronoi polygon is recursively subdivided into a Voronoi diagram. The Voronoi diagrams are calculated using a fast Euclidean distance mapping algorithm.

**Visual Simulation of
Fire
**

Real-time candle flame animation running on a 25MHz Mac.

*Image Processing for the
Imagination*

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`Copyright © 2015 Mark Grundland. All
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