Invariant methods in discrete and computational geometry : proceedings of the Curaçao conference, 13-17 June, 1994

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Invariant methods in discrete and computational geometry : proceedings of the Curaçao conference, 13-17 June, 1994

edited by Neil L. White

Kluwer Academic Publishers, c1995

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Includes index

Description and Table of Contents

Description

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.

Table of Contents

  • 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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