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COMPGEOM
2008
ACM
15 years 2 months ago
Visualizing and exploring planar algebraic arrangements: a web application
A web application is presented to compute, plot, and interactively explore planar arrangements induced by algebraic plane curves of arbitrary degree. It produces accurate curve pl...
Pavel Emeliyanenko, Michael Kerber
SMA
2005
ACM
133views Solid Modeling» more  SMA 2005»
15 years 6 months ago
Precise Voronoi cell extraction of free-form rational planar closed curves
We present an algorithm for generating the Voronoi cells for a set of rational C1 -continuous planar closed curves, which is precise up to machine precision. Initially, bisectors ...
Iddo Hanniel, Ramanathan Muthuganapathy, Gershon E...
COMPUTING
2007
81views more  COMPUTING 2007»
15 years 27 days ago
Hybrid curve fitting
We consider a parameterized family of closed planar curves and introduce an evolution process for identifying a member of the family that approximates a given unorganized point cl...
Martin Aigner, Bert Jüttler
ICIP
2003
IEEE
16 years 2 months ago
Shape analysis algorithm based on information theory
In this paper, we describe an algorithm to measure the shape complexity for discrete approximations of planar curves in 2D images and manifold surfaces for 3D triangle meshes. We ...
Andreas Koschan, Besma Roui-Abidi, David L. Page, ...
COMPGEOM
2007
ACM
15 years 4 months ago
Embeddings of surfaces, curves, and moving points in euclidean space
In this paper we show that dimensionality reduction (i.e., Johnson-Lindenstrauss lemma) preserves not only the distances between static points, but also between moving points, and...
Pankaj K. Agarwal, Sariel Har-Peled, Hai Yu