Visualization and Mathematics III

Front Matter....Pages I-XII
Front Matter....Pages 1-1
Planar Conformal Mappings of Piecewise Flat Surfaces....Pages 3-34
Discrete Differential-Geometry Operators for Triangulated 2-Manifolds....Pages 35-57
Constructing Circle Patterns Using a New Functional....Pages 59-68
Constructing Hamiltonian Triangle Strips on Quadrilateral Meshes....Pages 69-91
Front Matter....Pages 93-93
Visualizing Forman’s Discrete Vector Field....Pages 95-112
Identifying Vector Field Singularities Using a Discrete Hodge Decomposition....Pages 113-134
Searching for Knotted Spheres in 4-dimensional Space....Pages 135-150
3D Loop Detection and Visualization in Vector Fields....Pages 151-160
Front Matter....Pages 161-161
Minkowski Geometric Algebra and the Stability of Characteristic Polynomials....Pages 163-188
Subdivision Invariant Polynomial Interpolation....Pages 189-200
Another Metascheme of Subdivision Surfaces....Pages 201-220
Geometry of the Squared Distance Function to Curves and Surfaces....Pages 221-242
Front Matter....Pages 243-243
A Multiscale Fairing Method for Textured Surfaces....Pages 245-260
Generalized Block Iterative Methods....Pages 261-285
Fast Difference Schemes for Edge Enhancing Beltrami Flow and Subjective Surfaces....Pages 287-302
Front Matter....Pages 303-303
 Alice on the Eightfold Way: Exploring Curved Spaces in an Enclosed Virtual Reality Theater....Pages 305-315
Computation and Visualisation in the NumLab Numerical Laboratory....Pages 317-336
A Generic Programming Approach to Multiresolution Spatial Decompositions....Pages 337-360
Mathematical Modelling and Visualisation of Complex Three-dimensional Flows....Pages 361-377
web Mathematica ....Pages 379-390
Front Matter....Pages 391-391
Films: A Communicating Tool for Mathematics....Pages 393-405
The Potentials of Math Visualization and their Impact on the Curriculum....Pages 407-421
Back Matter....Pages 423-457