A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Scale-Space and Edge Detection Using Anisotropic Diffusion
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
Subjective Surfaces: A Geometric Model for Boundary Completion
International Journal of Computer Vision
Co-volume method for Riemannian mean curvature flow in subjective surfaces multiscale segmentation
Computing and Visualization in Science
Semi-Implicit Covolume Method in 3D Image Segmentation
SIAM Journal on Scientific Computing
Segmentation of 3D cell membrane images by PDE methods and its applications
Computers in Biology and Medicine
Segmentation and cell tracking of breast cancer cells
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part I
Computer-aided techniques for chromogenic immunohistochemistry: Status and directions
Computers in Biology and Medicine
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We designed a strategy for extracting the shapes of cell membranes and nuclei from time lapse confocal images taken throughout early zebrafish embryogenesis using a partial-differential-equation-based segmentation. This segmentation step is a prerequisite for an accurate quantitative analysis of cell morphodynamics during embryogenesis and it is the basis for an integrated understanding of biological processes. The segmentation of embryonic cells requires live zebrafish embryos fluorescently labeled to highlight sub-cellular structures and designing specific algorithms by adapting classical methods to image features. Our strategy includes the following steps: the signal-to-noise ratio is first improved by an edge-preserving filtering, then the cell shape is reconstructed applying a fully automated algorithm based on a generalized version of the Subjective Surfaces technique. Finally we present a procedure for the algorithm validation either from the accuracy and the robustness perspective.