Title :
Combining geodesic interpolating splines and affine transformations
Author_Institution :
Dept. of Appl. Math., Johns Hopkins Univ., Baltimore, MD, USA
fDate :
5/1/2006 12:00:00 AM
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;
Journal_Title :
Image Processing, IEEE Transactions on
DOI :
10.1109/TIP.2005.864163
