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» On the topology of planar algebraic curves
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CVPR
2010
IEEE
14 years 3 months ago
On Growth and Formlets: Sparse Multi-Scale Coding of Planar Shape
This paper presents a sparse representation of 2D planar shape through the composition of warping functions, termed formlets, localized in scale and space. Each formlet subjects t...
Timothy Oleskiw, James Elder, Gabriel Peyr
GRAPHICSINTERFACE
2007
13 years 9 months ago
Constrained planar remeshing for architecture
Material limitations and fabrication costs generally run at odds with the creativity of architectural design, producing a wealth of challenging computational geometry problems. We...
Barbara Cutler, Emily Whiting
COMPGEOM
2004
ACM
14 years 28 days ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir
IJRR
2006
145views more  IJRR 2006»
13 years 7 months ago
Coordinate-free Coverage in Sensor Networks with Controlled Boundaries via Homology
ABSTRACT. We introduce tools from computational homology to verify coverage in an idealized sensor network. Our methods are unique in that, while they are coordinate-free and assum...
V. de Silva, R. Ghrist
COMGEO
2010
ACM
13 years 7 months ago
An efficient algorithm for the stratification and triangulation of an algebraic surface
: We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f Q[x,y,z] of arbitrary total degree N. Additionally, our analy...
Eric Berberich, Michael Kerber, Michael Sagraloff