Affine and deformable registration based on polynomial expansion

Authors:
Gunnar Farnebäck;Carl-Fredrik Westin
Affiliations:
Department of Radiology, Brigham and Womens’ Hospital, Harvard Medical School, Boston, MA;Department of Radiology, Brigham and Womens’ Hospital, Harvard Medical School, Boston, MA
Venue:
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Year:
2006

Citing 2
Cited 2

Computational anatomy: an emerging discipline

Quarterly of Applied Mathematics - Special issue on current and future challenges in the applications of mathematics
Average brain models: a convergence study

Computer Vision and Image Understanding - Special issue on analysis of volumetric image

Non-rigid diffeomorphic image registration of medical images using polynomial expansion

ICIAR'12 Proceedings of the 9th international conference on Image Analysis and Recognition - Volume Part II
Multi-modal image registration using polynomial expansion and mutual information

WBIR'12 Proceedings of the 5th international conference on Biomedical Image Registration

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper presents a registration framework based on the polynomial expansion transform. The idea of polynomial expansion is that the image is locally approximated by polynomials at each pixel. Starting with observations of how the coefficients of ideal linear and quadratic polynomials change under translation and affine transformation, algorithms are developed to estimate translation and compute affine and deformable registration between a fixed and a moving image, from the polynomial expansion coefficients. All algorithms can be used for signals of any dimensionality. The algorithms are evaluated on medical data.