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PAMI
2006
141views more  PAMI 2006»
13 years 6 months ago
Diffusion Maps and Coarse-Graining: A Unified Framework for Dimensionality Reduction, Graph Partitioning, and Data Set Parameter
We provide evidence that non-linear dimensionality reduction, clustering and data set parameterization can be solved within one and the same framework. The main idea is to define ...
Stéphane Lafon, Ann B. Lee
COMPGEOM
2008
ACM
13 years 8 months ago
Reeb spaces of piecewise linear mappings
Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of ...
Herbert Edelsbrunner, John Harer, Amit K. Patel
COMPGEOM
2009
ACM
14 years 1 months ago
Incremental construction of the delaunay triangulation and the delaunay graph in medium dimension
We describe a new implementation of the well-known incremental algorithm for constructing Delaunay triangulations in any dimension. Our implementation follows the exact computing ...
Jean-Daniel Boissonnat, Olivier Devillers, Samuel ...
COMPGEOM
2004
ACM
14 years 4 days ago
Computing the visibility graph of points within a polygon
We study the problem of computing the visibility graph defined by a set P of n points inside a polygon Q: two points p, q ∈ P are joined by an edge if the segment pq ⊂ Q. Ef...
Boaz Ben-Moshe, Olaf Hall-Holt, Matthew J. Katz, J...
CORR
2010
Springer
209views Education» more  CORR 2010»
13 years 3 months ago
Generalized Tree-Based Wavelet Transform
In this paper we propose a new wavelet transform applicable to functions defined on graphs, high dimensional data and networks. The proposed method generalizes the Haar-like transf...
Idan Ram, Michael Elad, Israel Cohen