Title
4D Embryogenesis image analysis using PDE methods of image processing.
Abstract
In this paper, we introduce a set of methods for processing and analyzing long time series of 3D images representing embryo evolution. The images are obtained by in vivo scanning using a confocal microscope where one of the channels represents the cell nuclei and the other one the cell membranes. Our image processing chain consists of three steps: image filtering, object counting (center detection) and segmentation. The corresponding methods are based on numerical solution of nonlinear PDEs, namely the geodesic mean curvature flow model, flux-based level set center detection and generalized subjective surface equation. All three models have a similar character and therefore can be solved using a common approach. We explain in details our semi-implicit time discretization and finite volume space discretization. This part is concluded by a short description of parallelization of the algorithms. In the part devoted to experiments, we provide the experimental order of convergence of the numerical scheme, the validation of the methods and numerous experiments with the data representing an early developmental stage of a zebrafish embryo.
Year
Venue
Keywords
2010
KYBERNETIKA
image processing,embryogenesis,image analysis,finite volume method,image filtering,object counting,segmentation,partial differential equation
Field
DocType
Volume
Object detection,Discretization,Computer science,Segmentation,Algorithm,Filter (signal processing),Image processing,Level set,Rate of convergence,Finite volume method
Journal
46
Issue
ISSN
Citations 
SP2
0023-5954
5
PageRank 
References 
Authors
0.49
4
8
Name
Order
Citations
PageRank
Paul Bourgine118026.10
Róbert Cunderlík260.86
Olga Stasová350.49
Karol Mikula416120.93
Mariana Remešíková5172.71
Nadine Peyriéras6759.37
Barbara Rizzi7504.37
Alessandro Sarti820420.76