Handbook of geometric constraint systems principles /
| Main Authors: | , , |
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| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton :
CRC Press, Taylor and Francis Group,
[2019]
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| Series: | Discrete mathematics and its applications.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Overview and preliminaries / Meera Sitharam and Troy Baker
- I. Geometric Reasoning, Factorization and Decomposition. Computer-assisted theorem proving in synthetic geometry / Julien Narboux, Predrag Janičić, and Jacques Fleuriot
- Coordinate-free theorem proving in incidence geometry / Jürgen Richter-Gebert and Hongbo Li
- Special positions of frameworks and Grassmann-Cayley algebra / Jessica Sidman and William Traves
- From molecular distance geometry to conformal geometric algebra / Timothy F. Havel and Hongbo Li
- Tree-decomposable and underconstrained geometric constraint problems / Ioannis Fudos, Christoph M. Hoffmann, and Robert Joan-Arinyo
- Geometric constraint decomposition: the general case / Troy Baker, Meera Sitharam, and Rahul Prabha
- II. Distance Geometry, Real Algebraic Geometry, and Configuration Spaces. Dimensional and universal rigidities of bar frameworks / A.Y. Alfakih
- Computations of metric/cut polyhedra and their relatives / Mathieu Dutoru Sikirić, Michel-Marie Deza, and Elena I. Deza
- Cayley configuration spaces / Meera Sitharam, Menghan Wang, Joel Willoughby, and Rahul Prabhu
- Constraint varieties in mechanism science / Hans-Peter Schröcker, Martin Pfurner, and Josef Schadlbauer
- Real algebraic geometry for geometric constraints / Frank Sottile
- III. Geometric Rigidity. Polyhedra in 3-space / Brigitte Servatius
- Tensegrity / Robert Connelly and Anthony Nixon
- Geometric conditions of rigidity in nongeneric settings / Oleg Karpenkov
- Generic global rigidity in general dimension / Steven J. Gortler
- Change of metrics in rigidity theory / Anthony Nixon and Walter Whiteley
- IV. Combinatorial Rigidity. Planar rigidity / Brigitte Servatius and Herman Servatius
- Inductive constructions for combinatorial local and global rigidity / Anthony Nixon and Elissa Ross
- Rigidity of body-bar-hinge frameworks / Csaba Király and Shin-Ichi Tanigawa
- Global rigidity of two-dimensional frameworks / Bill Jackson, Tibor Jordán, and Shin-Ichi Tanigawa
- Point-line frameworks / Bill Jackson and J.C. Owen
- Generic rigidity of body-and-cad frameworks / Audrey St. John
- Rigidity with polyhedral norms / Derek Kitson
- Combinatorial rigidity of symmetric and periodic frameworks / Bernd Schulze.