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Automated Deduction in Geometry [electronic resource] : 5th International Workshop, ADG 2004, Gainesville, FL, USA, September 16-18, 2004, Revised Papers / edited by Hoon Hong, Dongming Wang.

Contributor(s): Hong, Hoon [editor.] | Wang, Dongming [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Artificial Intelligence: 3763Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006Edition: 1st ed. 2006.Description: X, 213 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540313632.Subject(s): Artificial intelligence | Machine theory | Computer science -- Mathematics | Discrete mathematics | Computer graphics | Pattern recognition systems | Convex geometry  | Discrete geometry | Artificial Intelligence | Formal Languages and Automata Theory | Discrete Mathematics in Computer Science | Computer Graphics | Automated Pattern Recognition | Convex and Discrete GeometryAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 006.3 Online resources: Click here to access online
Contents:
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.
In: Springer Nature eBook
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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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