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Automated Deduction in Geometry

5th International Workshop, ADG 2004, Gainesville, FL, USA, September 16-18, 2004, Revised Papers

Paperback Engels 2006 9783540313328
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Samenvatting

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.

Specificaties

ISBN13:9783540313328
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:213
Uitgever:Springer Berlin Heidelberg

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Inhoudsopgave

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.

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          Automated Deduction in Geometry