Geodesic image regression with a sparse parameterization of diffeomorphisms - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2013

Geodesic image regression with a sparse parameterization of diffeomorphisms

Abstract

Image regression allows for time-discrete imaging data to be modeled continuously, and is a crucial tool for conducting statistical analysis on longitudinal images. Geodesic models are particularly well suited for statistical analysis, as image evolution is fully characterized by a baseline image and initial momenta. However, existing geodesic image regression models are parameterized by a large number of initial momenta, equal to the number of image voxels. In this paper, we present a sparse geodesic image regression framework which greatly reduces the number of model parameters. We combine a control point formulation of deformations with a L 1 penalty to select the most relevant subset of momenta. This way, the number of model parameters reflects the complexity of anatomical changes in time rather than the sampling of the image. We apply our method to both synthetic and real data and show that we can decrease the number of model parameters (from the number of voxels down to hundreds) with only minimal decrease in model accuracy. The reduction in model parameters has the potential to improve the power of ensuing statistical analysis, which faces the challenging problem of high dimensionality.

Domains

Medical Imaging
No file

Dates and versions

hal-00935052 , version 1 (23-01-2014)

Identifiers

  • HAL Id : hal-00935052 , version 1

Cite

James Fishbaugh, Marcel Prastawa, Guido Gerig, Stanley Durrleman. Geodesic image regression with a sparse parameterization of diffeomorphisms. Geometric Science of Information, Aug 2013, Paris, France. pp.95-102. ⟨hal-00935052⟩
109 View
0 Download

Share

Gmail Facebook X LinkedIn More