Computer Graphics and Mathematics

Herausgegeben von Falcidieno, Bianca; Herman, Ivan; Pienovi, Caterina

• Broschiertes Buch

Produktbeschreibung

Since its very existence as a separate field within computerscience, computer graphics had to make extensive use ofnon-trivial mathematics, for example, projective geometry,solid modelling, and approximation theory. This interplay ofmathematics and computer science is exciting, but also makesit difficult for students and researchers to assimilate ormaintain a view of the necessary mathematics. Thepossibilities offered by an interdisciplinary approach arestill not fully utilized. This book gives a selection ofcontributions to a workshop held near Genoa, Italy, inOctober 1991, where a group of mathematicians and computerscientists gathered to explore ways of extending thecooperation between mathematics and computer graphics.

Produktdetails

• Focus on Computer Graphics
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-77588-8
• Softcover reprint of the original 1st ed. 1992
• Seitenzahl: 332
• Erscheinungstermin: 16. Dezember 2011
• Englisch
• Abmessung: 235mm x 155mm x 19mm
• Gewicht: 504g
• ISBN-13: 9783642775888
• ISBN-10: 3642775888
• Artikelnr.: 36113969

Inhaltsangabe

1 Integer Approximation to the Intersection of Three Planes with Planar Constraints.- 2 Approximate C1-blending with Triangular Cubic Patches.- 3 A Geometric Approach to Bézier Curves.- 4 Representing and Modeling of Cyclide Patches using NURBS.- 5 Local Parametrization of Space Curves at Singular Points.- 6 Shape of Curves and Surfaces: the Combinatorics.- 7 Two Surfaces Suffice.- 8 Does a Trigonometric Curve Cross an Algebraic Surface?.- 9 Incidence Relationships: Kernel Concept in Combinatorical Topology.- 10 A Taxonomy on Geometric and Topological Models.- 11 Multilevel Generation of Fractal Images Using the Associated Markov Process.- 12 Statistical Color Quantization for Minimum Distortion.- 13 Minimizing the Absolute Value Energy Function: An Application to Geometrical Constraint-Solving.- 14 Geometric Constraint Propagation with Quantum Labels.- 15 Computer Vision, Descriptive Geometry, and Classical Mechanics.- 16 Discrete Surface Models: Constraint-based Generation and Understanding.- 17 Visualization of Depth Maps.- 18 An Analysis of Digitalization Algorithms for Non-linear Curves.- 19 Visualizing Hyperbolic Space.- List of Contributors.