A discrete λ-medial axis

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Abstract

The λ-medial axis was introduced in 2005 by Chazal and Lieutier as a new concept for computing the medial axis of a shape subject to filtering with a single parameter. These authors proved the stability of the λ-medial axis under small shape perturbations. In this paper, we introduce the definition of a discrete λ-medial axis (DLMA). We evaluate its stability and rotation invariance experimentally. The DLMA may be computed by efficient algorithms, furthermore we introduce a variant of the DLMA, denoted by DL'MA, which may be computed in linear-time. We compare the DLMA and the DL'MA with the recently introduced integer medial axis and show that both DLMA and DL'MA provide measurably better results. © 2009 Springer Berlin Heidelberg.

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Chaussard, J., Couprie, M., & Talbot, H. (2009). A discrete λ-medial axis. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5810 LNCS, pp. 421–434). https://doi.org/10.1007/978-3-642-04397-0_36

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