Here I collected many papers on geometric algebra (GA). As I learn
them I will place descriptions on this page if I find time. Mainly I placed
these items here to give me access to them from a central point as I travel.
Most of these people and papers you can easily find on the web using Google.
| Title |
Author |
Description |
|
Overview papers and talks |
|
Modeling the Cosmos The shape of the universe |
Lasenby, 2003 |
Nice slides from SIGGRAPH 2003 |
|
Applications of Geometric Algebra I |
Doran, 2001 |
SIGGRAPH 2001 slides |
|
Beyond
Euclidean Geometry |
Doran, 2001 |
SIGGRAPH 2001 slides |
|
Geometric Algebra New Foundations New Insights |
Naeve, Rockwood, 2001 |
From the SIGGRAPH 2001 course |
|
Illustration of GA using GABLE |
Dorst, Mann, 2001 |
SIGGRAPH 2001 course |
|
Modeling 3D Euclidean Geometry |
Dorst, Fontijne, 2003 |
Nice overview of a ray tracer implemented using
traditional linear algebra versus one using GA |
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Introductory papers |
|
|
|
|
Geometric Algebra I,
Geometric Algebra II |
Dorst, Mann, 2003 |
A 2 paper sequence, good for introductions |
|
Geometric
Algebra Primer |
Suter, 2003 |
A detailed, easy, long introduction. |
|
NFMPchapt1 |
Hestenes, 1998 |
|
|
NFMPchapt2 |
Hestenes, 1998 |
|
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Geometric Algebra the framework for geometric computations |
Dorst, 2002 |
|
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Honing geometric algebra for its use in the computer sciences |
Dorst |
|
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Harder papers on more specific
topics |
|
Differential Forms in Geometric Calculus |
Hestenes, 1993 |
|
|
Multivector
Calculus |
Hestenes,1968 |
|
|
Multivector
Functions |
Hestenes, 1968 |
|
|
Lie groups as spin groups |
Hestenes, Sommen, Van Acker, 1993 |
|
|
Old Wine in New
Bottles |
Hestenes |
|
| |
|
Unsorted papers |
| |
|
A Unified Language For Computer Vision and Robotics |
Corrochano, Lasenby |
|
|
A unified language for mathematics and physics |
Hestenes |
|
|
An algebraic foundation for object-oriented Euclidean geometry |
Dorst, Fontijne |
|
|
Circle and sphere blending with conformal geometric algebra |
Doran, 2003 |
|
| GA
Treatise A, GA
Treatise B, GA
Treatise C, GA
Treatise D |
Calvet |
A four part series on GA |
|
Grassmanns Vision |
Hestenes |
|
|
Hamilton Mechanics with Geometric Calculus |
Hestenes, 1993 |
|
|
Mathematical Viruses |
Hestenes |
|
|
New Algebraic Tools for Classical Geometry - Chapter 1 |
Hestenes, Li, Rockwood |
|
|
New Algebraic Tools for Classical Geometry - Chapter 2 |
Hestenes, Li, Rockwood |
|
|
Projective geometry with Clifford algebra |
Hestenes, Ziegler |
|
|
Simplicial Calculus with Geometric Algebra |
Sobczyk |
|
|
The design of linear algebra and geometry |
Hestenes, 1991 |
|
|
Universal Geometric Algebra |
Hestenes, 1988 |
|
|
Using CliffordGeometric Algebra in Robotics |
Lasenby |
|
| The Inner Products of Geometric Algebra |
Dorst |
|
