Technical Program

Paper Detail

Paper:	SA-PM-SS1.7
Session:	The Use of Shape in Biomedical Imaging
Time:	Saturday, April 8, 17:20 - 17:40
Presentation:	Special Session Oral
Title:	Characterization of Biological Growth Using Iterated Diffeomorphisms
Authors:	Ulf Grenander; Brown University
	Anuj Srivastava; Florida State University
	Sanjay Saini; Florida State University
Abstract:	Mathematical and statistical modeling of biological growth are important problems in medical diagnostics. We study a structured model, called Growth by Random Iterated Diffeomorphisms (GRID), that models growth by emphasizing its local nature. The cumulative growth is composed of several smaller deformations; each deformation models an active region by capturing deformation local to that region, and is characterized by a seed and a radial deformation pattern around the seed. The GRID variables -- seed locations and radial deformation patterns -- are estimated from observed images in two steps: (i) Estimate a cumulative deformation over an observation interval, and (ii) Estimate GRID variables using maximum-likelihood criterion from the estimated cumulative deformation. We demonstrate this framework using MRI image data of a rat's brain growth.

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