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» Formalizing complex plane geometry
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SIAMREV
2010
110views more  SIAMREV 2010»
14 years 6 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 2 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 11 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 5 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 5 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