Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image processing: flows under min/max curvature and mean curvature
Graphical Models and Image Processing
Image Representation Using 2D Gabor Wavelets
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
Minimal Surfaces Based Object Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Local parallel computation of stochastic completion fields
Neural Computation
Images as Embedded Maps and Minimal Surfaces: Movies, Color, Texture, and Volumetric Medical Images
International Journal of Computer Vision - Special issue on computer vision research at the Technion
Geometry-Driven Diffusion in Computer Vision
Geometry-Driven Diffusion in Computer Vision
Deformable Kernels for Early Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Textons, Contours and Regions: Cue Integration in Image Segmentation
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
A Real-Time Algorithm for Medical Shape Recovery
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
A general framework for low level vision
IEEE Transactions on Image Processing
Evolutionary partial differential equations for biomedical image processing
Journal of Biomedical Informatics
Evolutionary partial differential equations for biomedical image processing
Computers and Biomedical Research
Fast Evolution of Image Manifolds and Application to Filtering and Segmentation in 3D Medical Images
IEEE Transactions on Visualization and Computer Graphics
First-order modeling and stability analysis of illusory contours
Journal of Visual Communication and Image Representation
Level Set Based Surface Capturing in 3D Medical Images
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
Cells segmentation from 3-D confocal images of early zebrafish embryogenesis
IEEE Transactions on Image Processing
Methods toward in vivo measurement of zebrafish epithelial and deep cell proliferation
Computer Methods and Programs in Biomedicine
Differential geometry based solvation model I: Eulerian formulation
Journal of Computational Physics
Adaptive smoothness based robust active contours
Image and Vision Computing
Level set segmentation of the fetal heart
FIMH'05 Proceedings of the Third international conference on Functional Imaging and Modeling of the Heart
Segmentation of 3d tubular structures by a PDE-Based anisotropic diffusion model
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
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We present a geometric model and a computational method for segmentation of images with missing boundaries. In many situations, the human visual system fills in missing gaps in edges and boundaries, building and completing information that is not present. Boundary completion presents a considerable challenge in computer vision, since most algorithms attempt to exploit existing data. A large body of work concerns completion models, which postulate how to construct missing data; these models are often trained and specific to particular images. In this paper, we take the following, alternative perspective: we consider a given reference point within the image, and then develop an algorithm which tries to build missing information on the basis of the given point of view and the available information as boundary data to the algorithm. Starting from this point of view, a surface is constructed. It is then evolved with the mean curvature flow in the metric induced by the image until a piecewise constant solution is reached. We test the computational model on modal completion, amodal completion, and texture segmentation. We extend the geometric model and the algorithm to 3D in order to extract shapes from low signal/noise ratio ultrasound image volumes. Results in 3D echocardiography and 3D fetal echography are also presented.