Dynamic shape analysis

• Grant number: 02/02504-1
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: July 01, 2002
• End date: June 30, 2006
• Field of knowledge: Physical Sciences and Mathematics - Computer Science - Computer Systems
• Principal Investigator: Luciano da Fontoura Costa
• Grantee: Marconi Soares Barbosa
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 99/12765-2 - Development and assessment of novel and accurate methods in shape analysis and computer vision, AP.TEM

Abstract

This work addresses the problem of analyzing the evolution of shape over time in certain biological systems. This is an important problem in the field of developmental biology and we wish to build on previous work in the group on related problems and apply some of these techniques to it. In particular, our research will initially focus on the geometrical characteristics of neurons and on the analysis of the changing shape of these cells. Using data at our disposal, our goal is to develop models for the geometrical evolution of these cells and then to provide verification of these models through extensive simulation. The considered approaches include the estimation of differential geometry measures such as normal and tangent field, and curvature, as well as variational and deconvolution models (possibly non-stationary in time and space). (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

COSTA, L. DA F.; BARBOSA, M. S.; MANOEL, E. T. M.; STREICHER, J.; MÜLLER, G. B.. Mathematical characterization of three-dimensional gene expression patterns. Bioinformatics, v. 20, n. 11, p. 1653-1662, Jul. 2004. (02/02504-1, 99/12765-2)

RODRIGUES‚ E.P.; BARBOSA‚ M.S.; COSTA‚ L.F.. Self-referred approach to lacunarity. Physical Review E, v. 72, n. 1, p. 016707, 2005. (99/12765-2, 02/02504-1)

COSTA, L. DA F.; COUPEZ, V.; BARBOSA, M. S.. A direct approach to neuronal connectivity. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 341, n. 1-2, p. 618-628, Oct. 2004. (02/02504-1, 99/12765-2)