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VCBM
2010
12 years 11 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 2 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
13 years 4 months 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»
13 years 4 months 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
13 years 6 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
13 years 8 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
13 years 10 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»
13 years 10 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