Ebook: Invariant Methods in Discrete and Computational Geometry: Proceedings of the Curaçao Conference, 13–17 June, 1994

Invariant, or coordinate-free methods provide a natural framework for many geometric questions. Invariant Methods in Discrete andComputational Geometry provides a basic introduction to several aspects of invariant theory, including the supersymmetric algebra, the Grassmann-Cayler algebra, and Chow forms. It also presents a number of current research papers on invariant theory and its applications to problems in geometry, such as automated theorem proving and computer vision.
Audience: Researchers studying mathematics, computers and robotics.

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Invariant, or coordinate-free methods provide a natural framework for many geometric questions. Invariant Methods in Discrete andComputational Geometry provides a basic introduction to several aspects of invariant theory, including the supersymmetric algebra, the Grassmann-Cayler algebra, and Chow forms. It also presents a number of current research papers on invariant theory and its applications to problems in geometry, such as automated theorem proving and computer vision.
Audience: Researchers studying mathematics, computers and robotics.

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Invariant, or coordinate-free methods provide a natural framework for many geometric questions. Invariant Methods in Discrete andComputational Geometry provides a basic introduction to several aspects of invariant theory, including the supersymmetric algebra, the Grassmann-Cayler algebra, and Chow forms. It also presents a number of current research papers on invariant theory and its applications to problems in geometry, such as automated theorem proving and computer vision.
Audience: Researchers studying mathematics, computers and robotics.

Content:
Front Matter....Pages i-xiii
The Power of Positive Thinking....Pages 1-36
Introduction to Chow Forms....Pages 37-58
Capelli’s Method of Variabili Ausiliarie, Superalgebras and Geometric Calculus....Pages 59-75
Letterplace Algebra and Symmetric Functions....Pages 77-91
A Tutorial on Grassmann-Cayley Algebra....Pages 93-106
Computational Symbolic Geometry....Pages 107-139
Invariant Theory and the Projective Plane....Pages 141-166
Automatic Proving of Geometric Theorems....Pages 167-196
The Resolving Bracket....Pages 197-222
Computation of the Invariants of a Point Set in P 3 from Its Projections in P 2 ....Pages 223-244
Geometric Algebra and M?bius Sphere Geometry as a Basis for Euclidean Invariant Theory....Pages 245-256
Invariants on G/U x G/U x G/U, G = SL(4,C)....Pages 257-277
On a Certain Complex Related to the Notion of Hyperdeterminant....Pages 279-288
On Cayley’s Projective Configurations an Algorithmic Study....Pages 289-299
On the Construction of Equifacetted 3-Spheres....Pages 301-312
Depths and Betti Numbers of Homology Manifolds....Pages 313-321
Back Matter....Pages 323-328

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Invariant, or coordinate-free methods provide a natural framework for many geometric questions. Invariant Methods in Discrete andComputational Geometry provides a basic introduction to several aspects of invariant theory, including the supersymmetric algebra, the Grassmann-Cayler algebra, and Chow forms. It also presents a number of current research papers on invariant theory and its applications to problems in geometry, such as automated theorem proving and computer vision.
Audience: Researchers studying mathematics, computers and robotics.

Content:
Front Matter....Pages i-xiii
The Power of Positive Thinking....Pages 1-36
Introduction to Chow Forms....Pages 37-58
Capelli’s Method of Variabili Ausiliarie, Superalgebras and Geometric Calculus....Pages 59-75
Letterplace Algebra and Symmetric Functions....Pages 77-91
A Tutorial on Grassmann-Cayley Algebra....Pages 93-106
Computational Symbolic Geometry....Pages 107-139
Invariant Theory and the Projective Plane....Pages 141-166
Automatic Proving of Geometric Theorems....Pages 167-196
The Resolving Bracket....Pages 197-222
Computation of the Invariants of a Point Set in P 3 from Its Projections in P 2 ....Pages 223-244
Geometric Algebra and M?bius Sphere Geometry as a Basis for Euclidean Invariant Theory....Pages 245-256
Invariants on G/U x G/U x G/U, G = SL(4,C)....Pages 257-277
On a Certain Complex Related to the Notion of Hyperdeterminant....Pages 279-288
On Cayley’s Projective Configurations an Algorithmic Study....Pages 289-299
On the Construction of Equifacetted 3-Spheres....Pages 301-312
Depths and Betti Numbers of Homology Manifolds....Pages 313-321
Back Matter....Pages 323-328
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