Title
A new variational method to detect points in biological images
Abstract
We propose a new variational method to isolate points in biological images. As points are fine structures they are difficult to detect by derivative operators computed in the noisy image. In this paper we propose to compute a vector field from the observed intensity so that its divergence explodes at points. As the image could contains spots but also noise and curves where the divergence also blows up, we propose to capture spots by introducing suitable energy whose minimizers are given by the points we want to detect. In order to provide numerical experiments we approximate this energy by means of a sequence of more treatable functionals by a Γ-convergence approach. Results are shown on synthetic and biological images.
Year
DOI
Venue
2009
10.1109/ISBI.2009.5193301
ISBI
Keywords
Field
DocType
new variational method,suitable energy,numerical experiment,convergence approach,fine structure,observed intensity,derivative operator,divergence explodes,biological image,noisy image,probability density function,vector field,noise measurement,biology,data mining,noise,length measurement
Computer vision,Divergence,Noise measurement,Pattern recognition,Variational method,Vector field,Computer science,Length measurement,Γ-convergence,Operator (computer programming),Artificial intelligence,Probability density function
Conference
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Daniele Graziani101.35
Laure Blanc-Féraud253663.97
Gilles Aubert31275108.17