Paper Info
Title
Fitting a surface to one of its sectional planar curves using adaptive trees in spaces of curves
Abstract
We motivate from interventional medical imaging some geometric problems where one should identify how a curve could be generated from a known surface, asking for the pose of the surface from the outline of an orthogonal projection of it, or the position of a sectional plane from an isometric instance of the sectional curve. We describe a distance between curves that is efficiently implementable and use it to build stochastic trees in metric spaces towards subsets of curves of interest that either have strong convergence properties or permit quick searches on curves, and propose a real time application on a simplified version of such problem.
Year
DOI
Venue
2010
10.1007/978-3-642-27413-8_24
Curves and surfaces
Keywords
Field
DocType
sectional planar,geometric problem,isometric instance,sectional plane,real time application,metric space,orthogonal projection,interventional medical imaging,sectional curve,known surface,quick search,adaptive tree,imaging,surface,metric,adaptive,curve,tree
Convergence (routing),Orthographic projection,Medical imaging,Mathematical analysis,Geometric problems,Planar,Metric space,Sectional plane,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
2
Authors
1
Name
Order
Citations
PageRank
Yannick L. Kergosien151.38