Title
An efficient and locality-oriented Hausdorff distance algorithm: Proposal and analysis of paradigms and implementations
Abstract
•I propose the first morphological implementation of the Hausdorff Distance (HD). Although Serra has proved that it can be computed using mathematics, he did not provide nor propose any tangible implementation. I am the first to propose a morphological implementation (there could be many) and I compare it using different paradigms (CPU and GPU) to the state-of-the-art.•The proposed algorithm is much faster than the state-of-the-art (work of Taha and Hanbury published in TPAMI) when we consider both the CPU and the GPU for the worst case and for tasks such as image registration.•I provide the most extensive evaluation of performance of the Hausdorff distance in the literature (considering different paradigms and programming languages).•When we consider the CPU, my proposal is up to 8 times faster than the Taha-Hanbury implementation for image registration and 22337 times faster for the worst case. In the case of the GPU, it is even faster than that.
Year
DOI
Venue
2021
10.1016/j.patcog.2021.107989
Pattern Recognition
Keywords
DocType
Volume
Hausdorff distance,Mathematical morphology,Similarity,Registration,Parallelism
Journal
117
Issue
ISSN
Citations 
1
0031-3203
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
e o rodrigues1274.50