DM
2011
13 years 7 months ago
2011
If X is a geodesic metric space and x1, x2, x3 ∈ X, a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X. The space X is δ-hy...
IJCV
2010
13 years 11 months ago
2010
We develop a computational model of shape that extends existing Riemannian models of shape of curves to multidimensional objects of general topological type. We construct shape sp...
CG
2005
Springer
14 years 14 days ago
2005
Springer
We present a new algorithm to compute a geodesic path over a triangulated surface. Based on Sethian's Fast Marching Method and Polthier's Straightest Geodesics theory, w...
IJAC
2007
14 years 14 days ago
2007
In this article we show that every group with a finite presentation satisfying one or both of the small cancellation conditions C (1/6) and C (1/4) − T (4) has the property that...
COMPGEOM
1999
ACM
14 years 4 months ago
1999
ACM
The video Geodesics and Waves introduces the concepts of straightest geodesics and geodesic flow on polyhedral surfaces. It is the third in a series of videos presenting research ...
CVPR
2000
IEEE
14 years 5 months ago
2000
IEEE
The general problem of surface matching is taken up in this study. The process described in this work hinges on a geodesic distance equation for a family of surfaces embedded in t...
SIGGRAPH
2010
ACM
14 years 5 months ago
2010
ACM
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...
GD
2009
Springer
14 years 5 months ago
2009
Springer
In this paper, we explore a new convention for drawing graphs, the (Manhattan-) geodesic drawing convention. It requires that edges are drawn as interior-disjoint monotone chains o...
DGCI
2003
Springer
14 years 5 months ago
2003
Springer
This paper describes a shape signature that captures the intrinsic geometric structure of 3D objects. The primary motivation of the proposed approach is to encode a 3D shape into a...
CVPR
2010
IEEE
14 years 9 months ago
2010
IEEE
Interactive segmentation is useful for selecting objects of interest in images and continues to be a topic of much study. Methods that grow regions from foreground/background seed...