Analysis of thinning algorithms using mathematical morphology

1990 ◽  
Vol 12 (6) ◽  
pp. 541-551 ◽  
Author(s):  
B.-K. Jang ◽  
R.T. Chin
Keyword(s):  
Mathematical Morphology ◽  
Thinning Algorithms

Applications of Mathematical Morphology to Range Imagery

1987 ◽  
Author(s):  
Thomas R. Esselman ◽  
Jacques G. Verly
Keyword(s):  
Mathematical Morphology

scholarly journals Modeling Imprecise and Bipolar Algebraic and Topological Relations using Morphological Dilations

2021 ◽  
Vol 5 (1) ◽  
pp. 1-20
Author(s):  
Isabelle Bloch
Keyword(s):  
Information Processing ◽  
Fuzzy Sets ◽  
Mathematical Morphology ◽  
Complete Lattice ◽  
Spatial Reasoning ◽  
Topological Relations ◽  
Preference Modeling ◽  
Logical Sense ◽  
Bipolar Fuzzy Sets ◽  
Core Features

Abstract In many domains of information processing, such as knowledge representation, preference modeling, argumentation, multi-criteria decision analysis, spatial reasoning, both vagueness, or imprecision, and bipolarity, encompassing positive and negative parts of information, are core features of the information to be modeled and processed. This led to the development of the concept of bipolar fuzzy sets, and of associated models and tools, such as fusion and aggregation, similarity and distances, mathematical morphology. Here we propose to extend these tools by defining algebraic and topological relations between bipolar fuzzy sets, including intersection, inclusion, adjacency and RCC relations widely used in mereotopology, based on bipolar connectives (in a logical sense) and on mathematical morphology operators. These definitions are shown to have the desired properties and to be consistent with existing definitions on sets and fuzzy sets, while providing an additional bipolar feature. The proposed relations can be used for instance for preference modeling or spatial reasoning. They apply more generally to any type of functions taking values in a poset or a complete lattice, such as L-fuzzy sets.

Compensatory fuzzy mathematical morphology

2017 ◽  
Vol 11 (6) ◽  
pp. 1065-1072 ◽  
Author(s):  
Agustina Bouchet ◽  
Juan I. Pastore ◽  
Marcel Brun ◽  
Virginia L. Ballarin
Keyword(s):  
Mathematical Morphology ◽  
Fuzzy Mathematical Morphology

scholarly journals A characterization of parallel thinning algorithms

1975 ◽  
Vol 29 (3) ◽  
pp. 286-291 ◽  
Author(s):  
Azriel Rosenfeld
Keyword(s):  
Thinning Algorithms

scholarly journals Boundary Morphology for Hierarchical Simplification of Archaeological Fragments

2020 ◽  
Vol 4 (1) ◽  
pp. 46-63
Author(s):  
Hanan ElNaghy ◽  
Leo Dorst
Keyword(s):  
Mathematical Morphology ◽  
Masking Effect ◽  
Morphological Operations ◽  
Fracture Surfaces ◽  
Morphological Approach ◽  
Archaeological Artifacts ◽  
Scale Spaces ◽  
Extrusion Method

AbstractWhen fitting archaeological artifacts, one would like to have a representation that simplifies fragments while preserving their complementarity. In this paper, we propose to employ the scale-spaces of mathematical morphology to hierarchically simplify potentially fitting fracture surfaces. We study the masking effect when morphological operations are applied to selected subsets of objects. Since fitting locally depends on the complementarity of fractures only, we introduce ‘Boundary Morphology’ on surfaces rather than volumes. Moreover, demonstrating the Lipschitz nature of the terracotta fractures informs our novel extrusion method to compute both closing and opening operations simultaneously. We also show that in this proposed representation the effects of abrasion and uncertainty are naturally bounded, justifying the morphological approach. This work is an extension of our contribution earlier published in the proceedings of ISMM2019 [10].

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