Results 1  10
of
375,417
Existence of setinterpolating and energyminimizing curves
 Comput. Aided Geom. Design
, 2003
"... Abstract. We consider existence of curves c: [0, 1] → R n which minimize an energy of the form ∫ �c (k) � p (k = 1, 2,..., 1 < p < ∞) under sideconditions of the form Gj(c(t1,j),..., c (k−1) (tk,j)) ∈ Mj, where Gj is a continuous function, ti,j ∈ [0, 1], Mj is some closed set, and the indi ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
Abstract. We consider existence of curves c: [0, 1] → R n which minimize an energy of the form ∫ �c (k) � p (k = 1, 2,..., 1 < p < ∞) under sideconditions of the form Gj(c(t1,j),..., c (k−1) (tk,j)) ∈ Mj, where Gj is a continuous function, ti,j ∈ [0, 1], Mj is some closed set
EnergyMinimizing Curve Fitting for HighOrder Surface Mesh Generation
, 2014
"... We investigate different techniques for fitting Bézier curves to surfaces in context of highorder curvilinear mesh generation. Starting from distancebased leastsquares fitting we develop an incremental algorithm, which incorporates approximations of stretch and bending energy. In the process, th ..."
Abstract
 Add to MetaCart
, the algorithm reduces the energy weight in favor of accuracy, leading to an optimized set of sampling points. This energyminimizing fitting strategy is applied to analytically defined as well as triangulated surfaces. The results confirm that the proposed method straightens and shortens the curves efficiently
Constrained Optimization with EnergyMinimizing Curves and Curve Networks — A Survey
"... We survey recent research results in constrained optimization with curves and curve networks. The addressed topics include constrained variational curve and curve network design, variational motion design, and guaranteed error bound approximation of point cloud data with curve networks. The main the ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
We survey recent research results in constrained optimization with curves and curve networks. The addressed topics include constrained variational curve and curve network design, variational motion design, and guaranteed error bound approximation of point cloud data with curve networks. The main
On active contour models and balloons
 CVGIP: Image
"... The use.of energyminimizing curves, known as “snakes, ” to extract features of interest in images has been introduced by Kass, Witkhr & Terzopoulos (Znt. J. Comput. Vision 1, 1987,321331). We present a model of deformation which solves some of the problems encountered with the original method. ..."
Abstract

Cited by 582 (43 self)
 Add to MetaCart
The use.of energyminimizing curves, known as “snakes, ” to extract features of interest in images has been introduced by Kass, Witkhr & Terzopoulos (Znt. J. Comput. Vision 1, 1987,321331). We present a model of deformation which solves some of the problems encountered with the original method
EnergyMinimizing Splines in Manifolds
, 2004
"... Variational interpolation in curved geometries has many applications, so there has always been demand for geometrically meaningful and efficiently computable splines in manifolds. We extend the definition of the familiar cubic spline curves and splines in tension, and we show how to compute these on ..."
Abstract

Cited by 57 (11 self)
 Add to MetaCart
by the same geometric optimization algorithm, which minimizes an energy of curves on surfaces of arbitrary dimension and codimension.
Geodesic Active Contours
, 1997
"... A novel scheme for the detection of object boundaries is presented. The technique is based on active contours evolving in time according to intrinsic geometric measures of the image. The evolving contours naturally split and merge, allowing the simultaneous detection of several objects and both in ..."
Abstract

Cited by 1415 (47 self)
 Add to MetaCart
segmentation allows to connect classical “snakes ” based on energy minimization and geometric active contours based on the theory of curve evolution. Previous models of geometric active contours are improved, allowing stable boundary detection when their gradients suffer from large variations, including gaps
Deformable Models for 3D Medical Images using Finite Elements & Balloons
 IN: PROCEEDINGS: 1992 IEEE COMPUTER SOCIETY CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION (CAT. NO. 92CH31682), LOS ALAMITOS, CA, USA. IEEE COMPUT
, 1992
"... The use of energyminimizing curves, known as "snakes" to extract features of interest in images has been introduced by Kass, Witkin and Terzopoulos [10]. A balloon model was introduced in [5] as a way to generalize and solve some of the problems encountered with the original method. We pr ..."
Abstract

Cited by 39 (2 self)
 Add to MetaCart
The use of energyminimizing curves, known as "snakes" to extract features of interest in images has been introduced by Kass, Witkin and Terzopoulos [10]. A balloon model was introduced in [5] as a way to generalize and solve some of the problems encountered with the original method. We
Active Contours without Edges
, 2001
"... In this paper, we propose a new model for active contours to detect objects in a given image, based on techniques of curve evolution, MumfordShah functional for segmentation and level sets. Our model can detect objects whose boundaries are not necessarily defined by gradient. We minimize an energy ..."
Abstract

Cited by 1185 (38 self)
 Add to MetaCart
In this paper, we propose a new model for active contours to detect objects in a given image, based on techniques of curve evolution, MumfordShah functional for segmentation and level sets. Our model can detect objects whose boundaries are not necessarily defined by gradient. We minimize
An EnergyMinimizing Interpolation For Multigrid Methods
 Stanford University, Juli
, 1997
"... . We shall study multigrid methods from energy minimizations and approximations. Through the analysis of an multigrid method in 1D, we introduce the concepts of stability and the approximation property in the classical theory. Based on them, we derive an energyminimizing interpolation and present a ..."
Abstract

Cited by 5 (0 self)
 Add to MetaCart
. We shall study multigrid methods from energy minimizations and approximations. Through the analysis of an multigrid method in 1D, we introduce the concepts of stability and the approximation property in the classical theory. Based on them, we derive an energyminimizing interpolation and present
NOTE ON CURVE AND SURFACE ENERGIES
"... ABSTRACT. Energies of curves and surfaces together with their discrete variants play a prominent role as fairness functionals in geometric modeling and computer aided geometric design. This paper deals with a particular discrete surface energy which is expressible in terms of curve energies, and whi ..."
Abstract
 Add to MetaCart
curves and curve networks (cf. Hofer and Pottmann (2004) and Wallner et al. (2005)). Hofer et al. (2005) apply energyminimizing curve networks to the problem of smoothing digital elevation data, as described below. Suppose that a terrain is modeled by a rectangular grid of points pi j = (xi j,yi j,zi j
Results 1  10
of
375,417