Invariant methods in discrete and computational geometry : proceedings of the Curaçao conference, 13-17 June, 1994
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書誌事項
Invariant methods in discrete and computational geometry : proceedings of the Curaçao conference, 13-17 June, 1994
Kluwer Academic Publishers, c1995
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注記
Includes index
内容説明・目次
内容説明
Invariant, or coordinate-free methods provide a natural framework for many geometric questions. Invariant Methods in Discrete and Computational 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.
目次
- Director's Preface. Introduction. The Power of Positive Thinking
- W. Chan et al. Introduction to Chow Forms
- J. Dalbec, B. Sturmfels. Capelli's Method of Variabili Ausiliarie, Superalgebras, and Geometric Calculus
- A. Brini, A. Teolis. Letterplace Algebra and Symmetric Functions
- W. Chan. A Tutorial on Grassmann-Cayley Algebra
- N. White. Computational Symbolic Geometry
- B. Mourrain, N. Stolfi. Invariant Theory and the Projective Plane
- M. Hawrylycz. Automatic Proving of Geometric Theorems
- H. Crapo, J. Richter- Gebert. The Resolving Bracket
- H. Crapo, G.-C. Rota. Computation of the Invariants of a Point Set in P3 from its Projection in P2
- L. Quan. Geometric Algebra and Moebius Sphere Geometry as a Basis for Euclidean Invariant Theory
- T. Havel. Invariants on G/U x G/U x G/U = SL(4,C)
- F. Grosshans. On a Certain Complex Related to the Notion of Hyperdeterminant
- G. Boffi. On Cayley's Projective Configurations - An Algorithmic Study
- R. San Augustin. On the Construction of Equifacetted 3-Spheres
- J. Bokowski. Depths and Betti Numbers of Homology Manifolds
- C. Chan et al. Index.
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