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F-rep Home Page
Function Representation in Geometric Modeling & Computer Graphics. The function representation (or F-rep) defines a geometric object by a single real continuous function of point coordinates as F(X) >= 0. F-rep is an attempt to step to a more general modeling scheme using real functions. Site maintained by A. Pasko.

Various illustrated articles by Paul Bourke covering miscellanous topics in geometry.

1998 SIGGRAPH Course: Subdivision for Modeling and Animation
A Caltech course presented by Peter Schröder Denis Zorin on subdivision surfaces. Complete course notes and a few Java applets.

Marching Triangles is a surface based approach to implicit surface polygonisation. It provides: polygonisation of open surfaces; dynamic integration of new implicit surface regions; efficient representation and reduced computation cost.

ARANZ is an established developer of 3D scanning and modelling technology for applications as diverse as movie-making, geological modelling and medicine. ARANZ supplies both hardware and software solutions to industry.

CG&A: Abstract: On-the-Fly Texture Computation For Real-Time Surface Shading
This article explores the issues related to rendering realistic surfaces using standard texture-mapping hardware. Such hardware enables the rapid rendering of color-mapped surfaces with interpolated surface shading. By computing textures on the fly using new algorithms, this article extends the domain to bump mapping, Phong shading and reflection mapping in combination. The efficiency of the algorithms arises from a combination of caching data in parametric arrays and using tables for fast evaluation of shading functions. These tables are computed efficiently by making use of angular coherence.

Practical Analytic Model for Daylight
Research paper and images by A. J. Preetham, Peter Shirley & Brian Smits.

Subdivision surfaces at extraordinary points
H. Prautzsch: Analysis of Ck-Subdivision surfaces at extraordinary points. Written in German.

Totally Tessellated
A tessellation is any repeating pattern of interlocking shapes. This site gives students a comprehensive introduction to tessellations and explains the basic math that is used in creating them. This site is a service of the Oracle Education Foundation.

UW CS&E Technical Reports
Over 400 computer science & engineering papers (in compressed PostScript) from Washington University, including 4 papers on subdivision surfaces.

An Introduction to Physically Based Modelling
Lecture notes from the SIGGRAPH '95 course by Andrew Witkin, David Baraff and Michael Kass. In PDF format.

Displacement Mapping
In displacement mapping, the surface is actually modified, in contrast to bump mapping where only the surface normal is modified. This means that displacement mapped surfaces will show the effect even in silhouette. Page maintained by G. Scott Owen.

Distributing Points on a Sphere
An article written by Paul Bourke detailing two (inefficient) methods of evenly distributing points on a sphere. They do however allow for an arbitrary number of points to be distributed unlike many other algorithms which only work for a restricted set of points. Includes C and C++ source code.

Geometry Caching for Ray-Tracing Displacement Maps
We present a technique for rendering displacement mapped geometry in a ray-tracing renderer. Displacement mapping is an important technique for adding detail to surface geometry in rendering systems. It allows complex geometric variation to be added to simpler geometry, without the cost in geometric complexity of completely describing the nuances of the geometry at modeling time and with the advantage that the detail can be added adaptively at rendering time. A paper (in PostScript format) by Matt Pharr and Pat Hanrahan from the 1996 Eurographics Workshop on Rendering.

Georgia Tech University
The Animation Research Lab at the Graphics, Visualization & Useability Center at the Georgia Institute of Technology. Specifying the motion of animated characters in computer animations and virtual environments is a difficult problem. Here, in the animation group, we are exploring one possible solution to this problem: applying control algorithms to physically realistic models of the systems that we would like to animate.

Graphic Papers Online
This is a very comprehensive site that hosts graphics research papers. All may be downloaded free. Maintained by Paul Nettle.

L-systems tutorial
L-systems are sets of rules and symbols (also known as "formal grammars") that model growth processes. This introductory article was written by David G. Green.

Published Papers - MIT Computer Graphics Group
A data base of published papers on methods used in the 3D computer graphics industry,

Sphere distribution problems
A list of 48 pages concerning the frequent question ``How can I arrange N points evenly on a sphere?''. Maintained by Anton Sherwood.

Subdivision Surfaces
An overview of subdivision surfaces and related research papers. Illustrations are provided. Authors include Tony DeRose, Tom Duchamp and Hugues Hoppe.

The Recursive Ray Tracing Algorithm
This paper by Jamis Buck is intended to inform the reader of how the basic ray tracing algorithm works. It takes a very simplistic approach to the explanation, avoiding the mathematical perspective traditionally used by many books and papers on the subject. It is intended primarily to inform the curious, rather than to teach the ambitious.

Uniform illumination of a sphere by N light sources
How to arrange the direction vectors of N luminous fluxes of equal intensity illuminating a target sphere with perfectly diffuse reflection. Author Hugo Pfoertner.

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