Symbolic and Numerical Computation for Artificial Intelligence

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The papers in this volume are based on talks given at a workshop on the Integration of Numerical and Symbolic Computing Methods, held in Saratoga Springs, New York, in July 1990. The Workshop was Sponsored by the National Science Foundation (NSF) , the Air Force Office of Sponsored Research (AFOSR), General Electric Research and Development, Schenectady, and the State University of New York at Albany. Over forty researchers from industry, academia and government participated in ...

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Overview

The papers in this volume are based on talks given at a workshop on the Integration of Numerical and Symbolic Computing Methods, held in Saratoga Springs, New York, in July 1990. The Workshop was Sponsored by the National Science Foundation (NSF) , the Air Force Office of Sponsored Research (AFOSR), General Electric Research and Development, Schenectady, and the State University of New York at Albany. Over forty researchers from industry, academia and government participated in the workshop.

The papers in this volume are based on talks given at a workshop on the Integration of Numerical and Symbolic Computing Methods, held in Saratoga Springs, New York, in July 1990. The Workshop was Sponsored by the National Science Foundation (NSF) , the Air Force Office of Sponsored Research (AFOSR), General Electric Research and Development, Schenectady, and the State University of New York at Albany. Over forty researchers from industry, academia and government participated in the workshop.

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Product Details

  • ISBN-13: 9780122205354
  • Publisher: Elsevier Science & Technology Books
  • Publication date: 9/1/1992
  • Series: Computational Mathematics and Applications
  • Pages: 369
  • Product dimensions: 6.95 (w) x 9.91 (h) x 1.12 (d)

Table of Contents

Contributors
Preface
Introduction 1
Polynomial Continuation and its Relationship to the Symbolic Reduction of Polynomial Systems 23
Elimination Methods: an Introduction 45
On the Solutions of a Set of Polynomial Equations 89
Quantifier Elimination for Conjunctions of Linear Constraints via a Convex Hull Algorithm 103
Elimination Theory and Computer Vision: Recognition and Positioning of Curved 3D Objects from Range, Intensity, or Contours 123
2D and 3D Object Recognition and Positioning with Algebraic Invariants and Covariants 147
Applications of Invariant Theory in Computer Vision 183
Distance Metrics for Comparing Shapes in the Plane 201
A Mathematical Framework for Combinatorial/Structural Analysis of Linear Dynamical Systems by Means of Matroids 221
Symbolic Methods for the Simulation of Planar Mechanical Systems in Design 245
Basic Requirements for the Automatic Generation of FORTRAN code 259
Symbolic and Parallel Adaptive Methods for Partial Differential Equations 277
An Interactive Symbolic-Numeric Interface to Parallel ELLPACK for Building General PDE Solvers 303
Symbolic/Numeric Techniques in Modeling and Simulation 323
Symbolic and Numeric Computation: the Example of IRENA 347
Author Index 363
Index 365
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