Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable
By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treat...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2008. |
| سلاسل: | Geometry and Computing
1 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
L'impression du document génère 718 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable, Texte imprimé, 9783642092435 • Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable, Texte imprimé, 9783540840312 • Pythagorean-Hodograph curves, algebra and geometry inseparable, Rida T. Farouki, 2008, Berlin, Springer, 1 vol. (XVI-728 p.), Geometry and computing, 978-3-540-73397-3 |
جدول المحتويات:
- Algebra Preamble Polynomials Complex Numbers Quaternions Clifford Algebra Geometry Coordinate Systems Differential Geometry Algebraic Geometry Non Euclidean Geometry Computer Aided Geometric Design The Bernstein Basis Numerical Stability Bézier Curves and Surfaces C2 Cubic Spline Curves Spline Basis Functions Planar Pythagorean-hodograph Curves Arc length Parameterization Pythagorean hodograph Curves Tschirnhausen's Cubic Complex Representation Rational Pythagorean-hodograph Curves Spatial Pythagorean-hodograph Curves Pythagorean Hodographs in ?3 Quaternion Representation Helical Polynomial Curves Minkowski Pythagorean Hodographs Algorithms Planar Hermite Interpolants Elastic Bending Energy Planar C2 PH Quintic Splines Spatial Hermite Interpolants Applications Real time CNC Interpolators Rotation minimizing Frames Closure.