Knowledgebase:Math and Geometry Resources and Information

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A listing of math, geometry resources and information sites in alphabetical order.

The good-looking textured light-sourced bouncy fun smart and stretchy page, by Hugo Elias. Articles about computer graphics, modeling (including particles, cloth, fire, landscapes, inverse kinematics) and graphics in games; useful algorithms, software, book reviews and links to resources and similar pages.

Computer Graphics Bookmark Page maintained by Frédo.

On-Line Notes UC Davis Math and algorytms

CiteSeer Publications is a research paper database. It has PostScript or PDF versions of most of the papers it lists, and there are at least a few hundred research papers on ray tracing listed (try it by typing ay tracing"" in the search field)."

An indexed set of basic mathematical formulations

Compiled originally for the CRC Dictionary of Computer Science, Engineering and Technology, now kept by the National Institute of Standards and Technology. These are general algorithms, not graphics-specific.

The portal to mathworld, scienceworld, Eric's Scientific Book List, etc.

This is Dr Ron Knott's Home page for the Fibonacci numbers, the Golden section and the Golden string. An excellent introduction to all things Fibonacci. Only simple algebra required.

This site contains pages with geometry related resources. The links are very well commented and there is considerable information available here. The front page alone contains over 1500 links. Maintained by David Eppstein, Theory Group, ICS, UC Irvine.

Part of Don Lancaster's Guru's Lair, the Cubic Spline Library consists of tutorials and utilities on cubic spline use, modification, and generation. Cubic Splines (some of which are called Bezier curves) are the key secret to creating smoothly flowing graphic curves.

Clear and concise explanation of Hermite curves and related spline calculations. Explains the math in terms of equations and matrices. Understanding the mathematical background of hermite curves will help you to understand the entire family of splines. Written by Nils Pipenbrinck of Germany.

A diverse collection of educational math related material by Dr. Alexander Bogomolny. Illustrated with over 700 applets.

These are tutorials on doing arithmetic on machines with just binary add, subtract, logical and shift operators, making no use of special hardware support for such complex operations as BCD arithmetic or multiplication and division. While some of these techniques are old, they remain relevant today. Written by Douglas W. Jones at the University of Iowa Department of Computer Science and revised by him in 2002.

Drexel University's Math Forum is a leading online resource for improving math learning, teaching, and communication since 1992. It includes the popular “Ask Dr Math” service.

This is a collection of short articles designed to provide an introduction to the areas of modern mathematics and pointers to further information, as well as answers to some common (or not!) questions. The material is arranged in a hierarchy of disciplines, each with its own index page. Maintained by David Rusin at the Northern Illinois University Department of Mathematical Sciences.

MuPAD is a mathematical expert system for doing symbolic and exact algebraic computations as well as numerical calculations with almost arbitrary accuracy. For example, the number of significant digits can be chosen freely. Apart from a vast variety of mathematical libraries the system provides tools for high quality visualization of 2- and 3-dimensional objects. Developed by the MuPAD Research Group under direction of Prof. Benno Fuchssteiner at the University of Paderborn (Germany).

Algorithms and techniques. Over 500 links. Book lists, articles, data for building humanoid models, lists of people and places specializing in computer animation, and much more.

From the Mathematical Atlas, this is a collection of answers written by David Rusin to questions frequently asked in the math newsgroups concerning spheres: principally the question, "How can I space some points equally on the sphere?" but also some topics regarding parameterization, volumes, and so on.

A large index of topics related to computer graphics and associated mathematical concepts.

Symbolic & algebraic computation site maintained by ICM at Kent State University.

A comprehensive collection of algorithm implementations for over seventy of the most fundamental problems in combinatorial algorithms, with links to software. Written by Steven S. Skiena.

A vast repository of geometry materials and projects. Many tutorials, images and applets, and some software to download. The Geometry Center closed several years ago, so don't expect updates here.

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