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VCBM
2010
13 years 7 months ago
Fast and Smooth Interactive Segmentation of Medical Images Using Variational Interpolation
We present a fast and interactive segmentation method for medical images that allows a smooth reconstruction of an object's surface from a set of user drawn, three-dimensiona...
Frank Heckel, Olaf Konrad, Heinz-Otto Peitgen
MP
2010
157views more  MP 2010»
13 years 11 months ago
Newton's method for generalized equations: a sequential implicit function theorem
In the extension of Newton’s method to generalized equations, applying to variational inequalities as a special case, convergence analysis relates to a corresponding implicit fun...
Asen L. Dontchev, R. Tyrrell Rockafellar
CAD
2004
Springer
14 years 9 days ago
A shape design system using volumetric implicit PDEs
Solid modeling based on partial differential equations (PDEs) can potentially unify both geometric constraints and functional requirements within a single design framework to mode...
Haixia Du, Hong Qin
CGF
2005
104views more  CGF 2005»
14 years 10 days ago
Dual Marching Cubes: Primal Contouring of Dual Grids
We present a method for contouring an implicit function using a grid topologically dual to structured grids such as octrees. By aligning the vertices of the dual grid with the fea...
Scott Schaefer, Joe D. Warren
SGP
2007
14 years 2 months ago
Voronoi-based variational reconstruction of unoriented point sets
We introduce an algorithm for reconstructing watertight surfaces from unoriented point sets. Using the Voronoi diagram of the input point set, we deduce a tensor field whose princ...
Pierre Alliez, David Cohen-Steiner, Yiying Tong, M...
SIGGRAPH
1999
ACM
14 years 4 months ago
Shape Transformation Using Variational Implicit Functions
Traditionally, shape transformation using implicit functions is performed in two distinct steps: 1) creating two implicit functions, and 2) interpolating between these two functio...
Greg Turk, James F. O'Brien
VLSM
2005
Springer
14 years 6 months ago
Implicit Free-Form-Deformations for Multi-frame Segmentation and Tracking
Abstract. In this paper, we propose a novel technique to address motion estimation and tracking. Such technique represents the motion field using a regular grid of thin-plate spli...
Konstantinos Karantzalos, Nikos Paragios
SMI
2005
IEEE
100views Image Analysis» more  SMI 2005»
14 years 6 months ago
Robust Particle Systems for Curvature Dependent Sampling of Implicit Surfaces
Recent research on point-based surface representations suggests that point sets may be a viable alternative to parametric surface representations in applications where the topolog...
Miriah D. Meyer, Pierre Georgel, Ross T. Whitaker