Dynamic 3D Models with Local and Global Deformations: Deformable Superquadrics
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
What is the best causal scale space for three-dimensional images?
SIAM Journal on Applied Mathematics
Invariant geometric evolutions of surfaces and volumetric smoothing
SIAM Journal on Applied Mathematics
Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Finding Shortest Paths on Surfaces Using Level Sets Propagation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Subjective Surfaces: A Geometric Model for Boundary Completion
International Journal of Computer Vision
Velocity-Guided Tracking of Deformable Contours in Three Dimensional Space
International Journal of Computer Vision
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
3D Clothes Modeling from Photo Cloned Human Body
VW '00 Proceedings of the Second International Conference on Virtual Worlds
Journal of Computational Physics
Journal of Mathematical Imaging and Vision
Journal of Computational Physics
A Quasi-Dense Approach to Surface Reconstruction from Uncalibrated Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Globally Optimal Geodesic Active Contours
Journal of Mathematical Imaging and Vision
Globally Minimal Surfaces by Continuous Maximal Flows
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast Constrained Surface Extraction by Minimal Paths
International Journal of Computer Vision
Reconstructing Open Surfaces from Image Data
International Journal of Computer Vision
Fast Surface Segmentation Guided by User Input Using Implicit Extension of Minimal Paths
Journal of Mathematical Imaging and Vision
Geometric curve flows on parametric manifolds
Journal of Computational Physics
Laplacian Operator-Based Edge Detectors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Weighted Minimal Hypersurface Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
A general framework for surface modeling using geometric partial differential equations
Computer Aided Geometric Design
From a Single Point to a Surface Patch by Growing Minimal Paths
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Globally Optimal Finsler Active Contours
Proceedings of the 31st DAGM Symposium on Pattern Recognition
General Geometric Good Continuation: From Taylor to Laplace via Level Sets
International Journal of Computer Vision
Methods toward in vivo measurement of zebrafish epithelial and deep cell proliferation
Computer Methods and Programs in Biomedicine
Multi-label simple points definition for 3D images digital deformable model
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Digital deformable model simulating active contours
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
SIAM Journal on Imaging Sciences
Fully deformable 3D digital partition model with topological control
Pattern Recognition Letters
A point-based approach to PDE-Based surface reconstruction
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
Variational shape and reflectance estimation under changing light and viewpoints
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Recent methods for reconstructing surfaces from multiple images
IWMM'04/GIAE'04 Proceedings of the 6th international conference on Computer Algebra and Geometric Algebra with Applications
A new implicit method for surface segmentation by minimal paths: applications in 3D medical images
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
A geometric formulation of gradient descent for variational problems with moving surfaces
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
A gradient descent procedure for variational dynamic surface problems with constraints
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Embedded Voxel Colouring with Adaptive Threshold Selection Using Globally Minimal Surfaces
International Journal of Computer Vision
Automatic segmentation of unknown objects, with application to baggage security
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part II
Evaluating segmentation error without ground truth
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Pattern Recognition and Image Analysis
Quadratic Transformation for Planar Mapping of Implicit Surfaces
Journal of Mathematical Imaging and Vision
Hi-index | 0.16 |
A geometric approach for 3D object segmentation and representation is presented. The segmentation is obtained by deformable surfaces moving towards the objects to be detected in the 3D image. The model is based on curvature motion and the computation of surfaces with minimal areas, better known as minimal surfaces. The space where the surfaces are computed is induced from the 3D image (volumetric data) in which the objects are to be detected. The model links between classical deformable surfaces obtained via energy minimization, and intrinsic ones derived from curvature based flows. The new approach is stable, robust, and automatically handles changes in the surface topology during the deformation.