Paper Info
Title
Extraction of the Intercellular Skeleton from 2D Images of Embryogenesis Using Eikonal Equation and Advective Subjective Surface Method
Abstract
We suggest an efficient method for automatic detection of the intercellular skeleton in microscope images of early embryogenesis. The method is based on the solution of two advective PDEs. First, we solve numerically the time relaxed eikonal equation in order to obtain the signed distance function to a given set --- a set of points representing cell centers or a set of closed curves representing segmented inner borders of cells. The second step is a segmentation process driven by the advective version of subjective surface equation where the velocity field is given by the gradient of the computed distance function. The first equation is discretized by Rouy-Tourin scheme and we suggest a fixing strategy that significantly improves the speed of the computation. The second equation is solved using a classical upwind strategy. We present several test examples and we show a practical application - the intercellular skeleton extracted from a 2D image of a zebrafish embryo.
Year
DOI
Venue
2009
10.1007/978-3-642-02256-2_4
SSVM
Keywords
Field
DocType
advective subjective surface method,intercellular skeleton,signed distance function,efficient method,eikonal equation,classical upwind strategy,advective version,subjective surface equation,advective pdes,rouy-tourin scheme,computed distance function,distance function,embryos,velocity field
Discretization,Segmentation,Vector field,Mathematical analysis,Signed distance function,Eikonal equation,Metric (mathematics),Advection,Geometry,Mathematics,Computation
Conference
Volume
ISSN
Citations 
5567
0302-9743
4
PageRank 
References 
Authors
0.53
2
5
Name
Order
Citations
PageRank
Paul Bourgine118026.10
Peter Frolkovič2122.75
Karol Mikula316120.93
Nadine Peyriéras4759.37
Mariana Remešíková5172.71