Invariant Methods in Discrete and Computational Geometry :
[Book]
Proceedings of the Curaçao Conference, 13-17 June, 1994
edited by Neil L. White.
Dordrecht
Springer Netherlands
1995
(xiv, 328 pages)
The Power of Positive Thinking --; to Chow Forms --; Capelli's Method of Variability Ausiliarie, Superalgebras, and Geometric Calculus --; Letterplace Algebra and Symmetric Functions --; A Tutorial on Grassmann-Cayley Algebra --; Computational Symbolic Geometry --; Invariant Theory and the Projective Plane --; Automatic Proving of Geometric Theorems --; The Resolving Bracket --; Computation of the Invariants of a Point Set in P3 P3 from Its Projections in P2 P2 --; Geometric Algebra and Möbius Sphere Geometry as a Basis for Euclidean Invariant Theory --; Invariants on G/U × G/U × G/U, G = SL(4,C) --; On A Certain Complex Related to the Notion of Hyperdeterminant --; On Cayley's Projective Configurations --; An Algorithmic Study --; On the Contruction of Equifacetted 3-Speres --; Depths and Betti Numbers of Homology Manifolds.
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.
Proceedings of the Curaçao Conference, 13--17 June, 1994