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» Computing the Hausdorff Distance between Curved Objects
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MICS
2007
90views more  MICS 2007»
15 years 1 months ago
Approximation by Conic Splines
Abstract. We show that the complexity of a parabolic or conic spline approximating a sufficiently smooth curve with non-vanishing curvature to within Hausdorff distance ε is c1ε...
Sunayana Ghosh, Sylvain Petitjean, Gert Vegter
113
Voted
PG
2007
IEEE
15 years 8 months ago
Visualisation of Implicit Algebraic Curves
We describe a new algorithm for the visualisation of implicit algebraic curves, which isolates the singular points, compute the topological degree around these points in order to ...
Lionel Alberti, Bernard Mourrain
ICPR
2006
IEEE
16 years 2 months ago
Geodesic Curves for Analysis of Continuous Implicit Shapes
A method is proposed for performing shape analysis of m-surfaces, e.g. planar curves and surfaces, with a geometric interpretation. The analysis uses an implicit surface represent...
Jan Erik Solem
CVPR
2010
IEEE
15 years 9 months ago
Finding Nemo: Deformable Object Class Modelling using Curve Matching
An image search for “clownfish” yields many photos of clownfish, each of a different individual of a different 3D shape in a different pose. Yet, to the human observer, this...
Mukta Prasad, Andrew Fitzgibbon
118
Voted
SIGGRAPH
2010
ACM
15 years 6 months ago
Geodesic patterns
Geodesic curves in surfaces are not only minimizers of distance, but they are also the curves of zero geodesic (sideways) curvature. It turns out that this property makes patterns...
Helmut Pottmann, Qixing Huang, Bailin Deng, Alexan...