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744
Global Minimum for Active Contour Models: A Minimal Path Approach
, 1997
"... A new boundary detection approach for shape modeling is presented. It detects the global minimum of an active contour model’s energy between two end points. Initialization is made easier and the curve is not trapped at a local minimum by spurious edges. We modify the “snake” energy by including the ..."
Abstract

Cited by 238 (70 self)
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along the curve, imposes a regularization effect like snakes. We explore the relation between the maximum curvature along the resulting contour and the potential generated from the image. The method is capable to close contours, given only one point on the objects’ boundary by using a topology
Anisotropic Polygonal Remeshing
"... In this paper, we propose a novel polygonal remeshing technique that exploits a key aspect of surfaces: the intrinsic anisotropy of natural or manmade geometry. In particular, we use curvature directions to drive the remeshing process, mimicking the lines that artists themselves would use when cre ..."
Abstract

Cited by 203 (16 self)
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creating 3D models from scratch. After extracting and smoothing the curvature tensor field of an input genus0 surface patch, lines of minimum and maximum curvatures are used to determine appropriate edges for the remeshed version in anisotropic regions, while spherical regions are simply pointsampled
Scaling of curvature in subcritical gravitational collapse”, Phys
 Rev. D
, 1998
"... We perform numerical simulations of the gravitational collapse of a spherically symmetric scalar field. For those data that just barely do not form black holes we find the maximum curvature at the position of the central observer. We find a scaling relation between this maximum curvature and distanc ..."
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Cited by 8 (0 self)
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We perform numerical simulations of the gravitational collapse of a spherically symmetric scalar field. For those data that just barely do not form black holes we find the maximum curvature at the position of the central observer. We find a scaling relation between this maximum curvature
Manifolds with positive curvature operator are space forms
 ANN. OF MATH
"... ... that a compact threemanifold admitting a Riemannian metric of positive Ricci curvature is a spherical space form. In dimension four Hamilton showed that compact fourmanifolds with positive curvature operators are spherical space forms as well [H2]. More generally, the same conclusion holds for ..."
Abstract

Cited by 115 (2 self)
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... that a compact threemanifold admitting a Riemannian metric of positive Ricci curvature is a spherical space form. In dimension four Hamilton showed that compact fourmanifolds with positive curvature operators are spherical space forms as well [H2]. More generally, the same conclusion holds
Adaptive Slicing with Curvature Considerations
"... Abstract − In this paper, first order slice height calculation in Laminated Object Manufacturing (LOM) of free form surfaces is done with two different considerations: that a) the cutter trajectory is oriented in the direction of local absolute maximum curvature of the surface or b) in the direction ..."
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Abstract − In this paper, first order slice height calculation in Laminated Object Manufacturing (LOM) of free form surfaces is done with two different considerations: that a) the cutter trajectory is oriented in the direction of local absolute maximum curvature of the surface or b
Motion by Intrinsic Laplacian of Curvature
 Interfaces and Free Boundaries
, 1999
"... this paper, we discuss numerical schemes to model the motion of curves and surfaces under the intrinsic Laplacian of curvature. This is an intrinsically difficult problem, due to the lack of a maximum principle and the delicate nature of computing an equation of motion which includes a fourth deriva ..."
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Cited by 49 (2 self)
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this paper, we discuss numerical schemes to model the motion of curves and surfaces under the intrinsic Laplacian of curvature. This is an intrinsically difficult problem, due to the lack of a maximum principle and the delicate nature of computing an equation of motion which includes a fourth
Interpolation with Curvature Constraints
, 1999
"... We address the problem of controlling the curvature of a B'ezier curve interpolating a given set of data. More precisely, given two points M and N, two directions ~u and ~v, and a constant k, we would like to find two quadratic B'ezier curves \Gamma 1 and \Gamma 2 joined with continuity ..."
Abstract

Cited by 1 (1 self)
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first need to determine the maximum curvature of quadratic B'ezier curves. This problem was solved by Sapidis and Frey in 1992. Here we present a simpler formula that has an elegant geometric interpretation in terms of distances and areas determined by the control points. We then use this formula
Curvature and Convergence
"... Fisher’s method of scoring is probably the most important general algorithm in statistics. This paper picks out those aspects of curvature, normal and statistical, which are relevant to its convergence properties. For any particular data set the convergence of the algorithm near the maximum likeliho ..."
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Fisher’s method of scoring is probably the most important general algorithm in statistics. This paper picks out those aspects of curvature, normal and statistical, which are relevant to its convergence properties. For any particular data set the convergence of the algorithm near the maximum
Natural Landmarkbased Autonomous Navigation using Curvature Scale Space
 Robotics and Autonomous Systems
, 2002
"... Abstract — This paper describes a terrainaided navigation system that employs points of maximum curvature extracted from laser scan data as primary landmarks. A scale space method is used to extract points of maximum curvature from laser range scans of unmodified outdoor environments. This informat ..."
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Cited by 8 (3 self)
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Abstract — This paper describes a terrainaided navigation system that employs points of maximum curvature extracted from laser scan data as primary landmarks. A scale space method is used to extract points of maximum curvature from laser range scans of unmodified outdoor environments
Results 11  20
of
744