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Computer Graphics and Mathematics: Focus on Computer Graphics

Editat de Bianca Falcidieno, Ivan Herman, Caterina Pienovi
en Limba Engleză Paperback – 16 dec 2011
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.
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Specificații

ISBN-13: 9783642775888
ISBN-10: 3642775888
Pagini: 332
Ilustrații: VII, 318 p. 23 illus.
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.47 kg
Ediția:Softcover reprint of the original 1st ed. 1992
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Focus on Computer Graphics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Professional/practitioner

Cuprins

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.