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CHI
2006
ACM
16 years 26 days ago
"Sketching" nurturing creativity: commonalities in art, design, engineering and research
icians or philosophers use abstract symbols to derive formulas or form proofs. Indeed, these sketches are structural geometric proofs, consistent with Plato's supposition that...
Kumiyo Nakakoji, Atau Tanaka, Daniel Fallman
100
Voted
EUROGRAPHICS
2010
Eurographics
15 years 8 months ago
Tetrahedral Embedded Boundary Methods for Accurate and Flexible Adaptive Fluids
When simulating fluids, tetrahedral methods provide flexibility and ease of adaptivity that Cartesian grids find difficult to match. However, this approach has so far been lim...
Christopher Batty, Stefan Xenos, Ben Houston
89
Voted
COMPGEOM
2009
ACM
15 years 7 months ago
Persistent cohomology and circular coordinates
Nonlinear dimensionality reduction (NLDR) algorithms such as Isomap, LLE and Laplacian Eigenmaps address the problem of representing high-dimensional nonlinear data in terms of lo...
Vin de Silva, Mikael Vejdemo-Johansson
COMPGEOM
2009
ACM
15 years 7 months ago
Epsilon nets and union complexity
We consider the following combinatorial problem: given a set of n objects (for example, disks in the plane, triangles), and an integer L ≥ 1, what is the size of the smallest su...
Kasturi R. Varadarajan
PG
2007
IEEE
15 years 6 months ago
Fast and Faithful Geometric Algorithm for Detecting Crest Lines on Meshes
A new geometry-based finite difference method for a fast and reliable detection of perceptually salient curvature extrema on surfaces approximated by dense triangle meshes is pro...
Shin Yoshizawa, Alexander G. Belyaev, Hideo Yokota...