Buch, Englisch, Band 34, Gewicht: 300 g
Buch, Englisch, Band 34, Gewicht: 300 g
Reihe: AMS/IP Studies in Advanced Mathematics
ISBN: 978-0-8218-2044-5
Verlag: American Mathematical Society
Computational geometry is a subject for studying the theory, method, generation and realization of geometric objects under the environment concerning computers, networks and other information tools. The 23 authors in this book all contribute new advances to the field.
Computational geometry is a borderline subject related to pure and applied mathematics, computer science, and engineering. The book contains articles on various topics in computational geometry based on invited lectures and contributed papers presented during the program on computational geometry at the Morningside Center of Mathematics at the Chinese Academy of Sciences (Beijing). The opening article by R.-H. Wang gives a nice survey of various aspects of computational geometry, many of which are discussed in detail in the volume. Topics of the other articles include problems of optimal triangulation, splines, data interpolation, problems of curve and surface design, problems of shape control, quantum teleportation, and more. The book is suitable for graduate students and researchers interested in computational geometry and specialists in theoretical computer science.
On computational geometry; Geometry for analysis of corneal shape; Approximate implicitization of rational surfaces; A geometric approach to $dim S 21(Delta {MS})$; Subdivision for $C1$ surface interpolation; A permanence principle for shape control; Blending several implicit algebraic surfaces with ruled surfaces; Lagrange interpolation by splines on triangulations; Quantum teleportation and spin echo: A unitary symplectic spinor approach; The generalization of Pascal's theorem and Morgan-Scott's partition; 'Optimal' triangulation of surfaces and bodies; Multivariate spline and geometry; Geometric continuous B-spline-A generalization of the approach of $gamma$; Adaptive and smooth surface construction by triangular A-patches; A B-spline function in $s 31(R3,Delta 2*)$
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Geometrie
- Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
