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» Formalizing complex plane geometry
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SIAMREV
2010
110views more  SIAMREV 2010»
14 years 4 months ago
Complex Singularities and the Lorenz Attractor
The Lorenz attractor is one of the best known examples of applied mathematics. However, much of what is known about it is a result of numerical calculations and not of mathematica...
Divakar Viswanath, Sönmez Sahutoglu
COMPGEOM
1991
ACM
15 years 1 months ago
Arrangements of Segments that Share Endpoints: Single Face Results
We provide new combinatorial bounds on the complexity of a face in an arrangement of segments in the plane. In particular, we show that the complexity of a single face in an arran...
Esther M. Arkin, Dan Halperin, Klara Kedem, Joseph...
CORR
2008
Springer
126views Education» more  CORR 2008»
14 years 9 months ago
3D Building Model Fitting Using A New Kinetic Framework
We describe a new approach to fit the polyhedron describing a 3D building model to the point cloud of a Digital Elevation Model (DEM). We introduce a new kinetic framework that hi...
Mathieu Brédif, Didier Boldo, Marc Pierrot ...
COMPGEOM
2006
ACM
15 years 3 months ago
Embedding ultrametrics into low-dimensional spaces
We study the problem of minimum-distortion embedding of ultrametrics into the plane and higher dimensional spaces. Ultrametrics are a natural class of metrics that frequently occu...
Mihai Badoiu, Julia Chuzhoy, Piotr Indyk, Anastasi...
COMPGEOM
2009
ACM
15 years 4 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