Coherence-Enhancing Diffusion Filtering
International Journal of Computer Vision
Semi-Implicit Covolume Method in 3D Image Segmentation
SIAM Journal on Scientific Computing
SIAM Journal on Numerical Analysis
Segmentation of 3D cell membrane images by PDE methods and its applications
Computers in Biology and Medicine
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In this contribution we develop a strategy for segmentation of evolving biological structures in image sequences. Our approach is based on combination of nonlinear tensor diffusion image smoothing and subjective surface based image segmentation. Since the fine cell structure would restrain the evolving segmentation function to achieve a shape of meaningful biological structures, we have to smooth properly the images in the sequence. To that goal we apply the nonlinear tensor diffusion which enhances the connectivity of bordering structure lines and smoothes their inner parts. For the numerical implementations we use semi-implicit diamond-cell finite volume methods both for filtering and segmentation. We show application of the method in image segmentation of early stages of zebrafish embryogenesis.