Automated Deduction in Geometry: 5th International Workshop, Adg 2004, Gainesville, Fl, Usa, September 16-18, 2004, Revised Papers

ISBN-13: 9783540313328 / Angielski / Miękka / 2006 / 228 str.

H. Hong; Hoon Hong

Opis

This book presents the thoroughly refereed post-proceedings of the 5th International Workshop on Automated Deduction in Geometry, ADG 2004, held at Gainesville, FL, USA in September 2004. The 12 revised full papers presented aurvey current issues theoretical and methodological topics as well as applications thereof - in particular automated geometry theorem proving, automated geometry problem solving, problems of dynamic geometry, and an object-oriented language for geometric objects.

Spis treści

Mechanical Theorem Proving in Computational Geometry.- Computational Origami Construction of a Regular Heptagon with Automated Proof of Its Correctness.- Proving Geometric Theorems by Partitioned-Parametric Gröbner Bases.- Computations of the Area and Radius of Cyclic Polygons Given by the Lengths of Sides.- Symbolic Solution of a Piano Movers’ Problem with Four Parameters.- Computing Curves Bounding Trigonometric Planar Maps: Symbolic and Hybrid Methods.- Towards Solving the Dynamic Geometry Bottleneck Via a Symbolic Approach.- On the Decidability of Tracing Problems in Dynamic Geometry.- Towards a Geometric-Object-Oriented Language.- Spatial Planning and Geometric Optimization: Combining Configuration Space and Energy Methods.- nD Polyhedral Scene Reconstruction from Single 2D Line Drawing by Local Propagation.- Planar Generalized Stewart Platforms and Their Direct Kinematics.