Abstract
Point-based registration with known correspondence is often used as either a stand-alone method or a part of a more complex algorithm. The goal of this type of registration is to align two sets of points with the same number of corresponding points using a selected transformation type. Presented are closed form solutions for the transformation parameters that optimally align two point sets in the least squares sense for the following transformation types: rigid, similarity, rigid with nonuniform scales, and a linear combination of basis functions. It is shown that those registration methods whose underlying transformations form a group satisfy the identity, symmetry, transitivity, and distortion properties.
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© 2006 Springer-Verlag Berlin Heidelberg
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Å krinjar, O. (2006). Point-Based Registration with Known Correspondence: Closed Form Optimal Solutions and Properties. In: Pluim, J.P.W., Likar, B., Gerritsen, F.A. (eds) Biomedical Image Registration. WBIR 2006. Lecture Notes in Computer Science, vol 4057. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11784012_38
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DOI: https://doi.org/10.1007/11784012_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35648-6
Online ISBN: 978-3-540-35649-3
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