Logarithmic Mathematical Morphology: Theory and applications

arXiv:2309.02007 · eess.IV, cs.CV, cs.NA, math.FA, math.NA · Submitted 2023-09-05 · Read on arXiv

eess.IV, cs.CV, cs.NA, math.FA, math.NA

Submitted: 2023-09-05

Updated: 2026-08-14

DOI: 10.1007/s10851-026-01346-1

Code: https://github.com/guillaumenoyel/LogMM

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Mathematical Morphology — 36× in this paper
• Logarithmic Image Processing — 12× in this paper
• Logarithmic Mathematical Morphology — 10× in this paper
• Robustness — 10× in this paper · explained in 5 episodes
• ARK — 6× in this paper · explained in 1 episode
• AUC — 6× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Area Under ROC Curve — 2× in this paper
• Scale Invariant Feature Transform — 2× in this paper
• Study Group Learning — 2× in this paper
• Adaptivity — 1× in this paper · explained in 1 episode
• Fidelity — 1× in this paper · explained in 2 episodes
• Homogeneity — 1× in this paper · explained in 2 episodes
• U-net architecture — 1× in this paper · explained in 3 episodes
• Zone of Interest — 1× in this paper

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