Combining geodesic interpolating splines and affine transformations

Author

Younes, Laurent

Author_Institution

Dept. of Appl. Math., Johns Hopkins Univ., Baltimore, MD, USA

Volume

15

Issue

5

fYear

2006

fDate

5/1/2006 12:00:00 AM

Firstpage

1111

Lastpage

1119

Abstract

Geodesic spline interpolation is a simple and efficient approach for landmark matching by nonambiguous mappings (diffeomorphisms), combining classic spline interpolation and flows of diffeomorphisms. Here, we extend the method to incorporate the estimation of a affine transformation, yielding a consistent and numerically stable algorithm. A theoretical justification is provided by studying the existence of the global minimum of the energy.

Keywords

affine transforms; image matching; interpolation; numerical stability; splines (mathematics); affine transformations; diffeomorphisms; geodesic interpolating splines; landmark matching; nonambiguous mappings; Biomedical imaging; Boundary conditions; Computer graphics; Computer vision; Image analysis; Image registration; Interpolation; Polynomials; Shape; Yield estimation; Affine registration; geodesic splines; image registration; landmark matching; nonrigid registration; Algorithms; Artificial Intelligence; Image Enhancement; Image Interpretation, Computer-Assisted; Information Storage and Retrieval; Pattern Recognition, Automated; Subtraction Technique;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/TIP.2005.864163

Filename

1621233