Math. Model. Nat. Phenom.
Volume 9, Number 5, 2014Spectral problems
|Page(s)||177 - 193|
|Published online||17 July 2014|
Efficient Processing of Fluorescence Images Using Directional Multiscale Representations
1 Dept. of Mathematics, University of
2 Dept. of Pharmacology and Toxicology, UT Medical Branch, Galveston, TX 77555, USA
Corresponding author. E-mail: firstname.lastname@example.org
Recent advances in high-resolution fluorescence microscopy have enabled the systematic study of morphological changes in large populations of cells induced by chemical and genetic perturbations, facilitating the discovery of signaling pathways underlying diseases and the development of new pharmacological treatments. In these studies, though, due to the complexity of the data, quantification and analysis of morphological features are for the vast majority handled manually, slowing significantly data processing and limiting often the information gained to a descriptive level. Thus, there is an urgent need for developing highly efficient automated analysis and processing tools for fluorescent images. In this paper, we present the application of a method based on the shearlet representation for confocal image analysis of neurons. The shearlet representation is a newly emerged method designed to combine multiscale data analysis with superior directional sensitivity, making this approach particularly effective for the representation of objects defined over a wide range of scales and with highly anisotropic features. Here, we apply the shearlet representation to problems of soma detection of neurons in culture and extraction of geometrical features of neuronal processes in brain tissue, and propose it as a new framework for large-scale fluorescent image analysis of biomedical data.
Mathematics Subject Classification: 42C15 / 42C40 / 92C15 / 92C55
Key words: curvelets / fluorescent microscopy / image processing / segmentation / shearlets / sparse representations / wavelets
© EDP Sciences, 2014
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