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SL(2,R) Multi-scale Contour Registration Based on Riemannian Calculation

Authors:
Khaoula Sakrani
Sinda Elghoul
Faouzi Ghorbe

Keywords: Multi-scale registration; Special affine transformation; Riemannian metric; Affine Spacial group SA(2, R)

Abstract:
We introduce a novel Affine multi-scale registration based on the Riemannian metric in the Lie group SL(2, R) to estimate the best alignment between two planar curves. First, we smooth and re-simpling the input shapes. Then, in each level, we compute the special linear transformations Aσp and translation vectors Bσp using the pseudo-inverse algorithm. The obtained matrices Aσp are then projected in the Lie algebra of SL(2, R) which is sl(2, R) to compute their average. In the final step, we register and calculate the L2 distance.

Pages: 51 to 55

Copyright: Copyright (c) IARIA, 2023

Publication date: March 13, 2023

Published in: conference

ISSN: 2519-8432

ISBN: 978-1-68558-057-5

Location: Barcelona, Spain

Dates: from March 13, 2023 to March 17, 2023