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Abstract Mathematical morphology based on structuring element: Application to morpho-logic [article]

Marc Aiguier and Isabelle Bloch and Ramon Pino-Pérez
2020 arXiv   pre-print
Based on this observation, this paper proposes to define, at the abstract level of category theory, erosion and dilation based on structuring elements.  ...  A direct application of this framework is to generalize modal morpho-logic to other algebraic structures than simple sets.  ...  Morpho-categories Morpho-categories will be categories on which we will define both basic mathematical morphology operations of erosion and dilation based on a structuring element.  ... 
arXiv:2005.01715v1 fatcat:absvd2bcgjahldyrwq7oyt2shq

The Mathematical Morpho-Logical View on Reasoning about Space

Marco Aiello, Brammert Ottens
2007 International Joint Conference on Artificial Intelligence  
We propose to consider mathematical morphology operators as the inspiration for a new language and inference mechanism to reason about space.  ...  Interestingly, the proposed morpho-logic captures not only traditional mereotopological relations, but also notions of relative size and morphology.  ...  Table 6 : Morpho resolution rules for the morpho axioms II. Areces, and Rosalie Iemhoff for fruitful discussions.  ... 
dblp:conf/ijcai/AielloO07 fatcat:vskzvfwojbac5apdpck7lz2gji

Page 147 of Linguistics and Language Behavior Abstracts: LLBA Vol. 24, Issue 1 [page]

1990 Linguistics and Language Behavior Abstracts: LLBA  
The analyses presented here are said to lend considerable credence to the overall framework & approach to morpho- logical classification embodied in Zwicky’s theory. 21 References. B.  ...  Based on criteria proposed by Arnold M.  ... 

Page 1461 of Mathematical Reviews Vol. , Issue 2000b [page]

2000 Mathematical Reviews  
This chapter ends with a practical application. Chapter 9 deals with the morphological approach to segmenta- tion, based on the watershed transformation.  ...  Starting with the standard ones by a structuring element (obtained by composition of dilation and erosion by that structur- ing element), it introduces the more general algebraic openings and closings,  ... 

A language-driven reverse-engineering tool for the analysis of architectural precedents: A Palladian case study

Buthayna Eilouti
2021 Spatium  
The visual tool consists of four main layers: the morphological, the semantic, the semiotic, and the pragmatic. To test the tool?  ...  By developing the tool and demonstrating its applicability for the analysis of the underlying regulatory and formative principles of the Palladian design, this paper aims to contribute to the knowledge  ...  The reverseengineering technique represents one of these constructs, applying logical abstraction, as well as deductive reasoning, for design analysis, and abductive and inductive reasoning in the application  ... 
doi:10.2298/spat2145021e fatcat:gvedlheaqrc23mfxvuzhop4lei

Image Segmentation By Mathematical Morphology: An Approach Through Linear, Bilinear And Conformal Transformation

Dibyendu Ghoshal, Pinaki Pratim Acharjya
2014 Zenodo  
Image segmentation process based on mathematical morphology has been studied in the paper.  ...  linear, bilinear and conformal transformation and they give rise to a non linear affect in a cumulative manner.  ...  Mathematical morphology is a non linear area of the signal processing and related to the application of set theory concept to image analysis.  ... 
doi:10.5281/zenodo.1094741 fatcat:bx3gbfnxfrchlc5bkctakczvna

The Talent system: TEXTRACT architecture and data model

2004 Natural Language Engineering  
as a range of proprietary ones); • a document model provides an abstraction layer between the character-based document stream and annotation-based document components, both structurally derived (such  ...  type) or/and document structure elements (such as section titles, sentences, and so forth).  ... 
doi:10.1017/s1351324904003493 fatcat:nsz4y2kaibadxh6tlqtriaa5u4

What Complexity Differences Reveal About Domains in Language*

Jeffrey Heinz, William Idsardi
2013 Topics in Cognitive Science  
On the other hand, if humans employ multiple, highly structured learning mechanisms in language learning, then the difference can be explained.  ...  Syntactic generalizations, on the other hand, appear to at least sometimes require something more than context-free power, appearing to converge on a mildly context-sensitive region of the Chomsky Hierarchy  ...  This research was supported by NSF grant 1035577 to JH and by NIH/NIDCD grant 7R01DC005660-07 to WI.  ... 
doi:10.1111/tops.12000 pmid:23335576 fatcat:e7swmuservcptkkz2oocpbhdvi

On the Formal Properties of Morphological Models [chapter]

Tom Ritchey
2011 Wicked Problems – Social Messes  
This article examines the formal (mathematical/combinatorial) properties of morphological models and examines the relationship between these formal properties and the empirical contents of morphological  ...  A number of models are compared on the basis of these ratios and their divergences plotted.  ...  14 Graph 1: Correlation between constraint quotient and solution space quotient for 16 morphological models.  ... 
doi:10.1007/978-3-642-19653-9_6 fatcat:p3vrcquszjfvzgzyapazhowlp4

Universal semantic features and the typology of cardinal numerals

Marcin Wągiel, Pavel Caha
2020 Catalan Journal of Linguistics  
The model we develop is broadly based on the idea that the meaning components are uniformly structured across languages, and they must all be pronounced, though languages differ in how they pronounce them  ...  We adopt the framework of Nanosyntax (Starke 2009 et seq.) as a model of morphology which, when applied to the semantic structures we propose, delivers the relevant marking patterns.  ...  The same logic is followed in the object-counting column on the very right.  ... 
doi:10.5565/rev/catjl.296 fatcat:5ylwkkcumffpdjb6v5k55jvn6i

Morphologic for knowledge dynamics: revision, fusion, abduction [article]

Isabelle Bloch, Jérôme Lang, Ramón Pino Pérez, Carlos Uzcátegui
2018 arXiv   pre-print
In this paper we exploit the algebraic framework of mathematical morphology in the context of propositional logic, and define operations such as dilation or erosion of a set of formulas.  ...  We derive concrete operators, based on a semantic approach, that have an intuitive interpretation and that are formally well behaved, to perform revision, fusion and abduction.  ...  Lattice of formulas and morpho-logic The idea of using mathematical morphology in a logical framework has been first introduced in [10, 11] .  ... 
arXiv:1802.05142v1 fatcat:l23nifmbvzguhehsuuhdp6hazu

Grammatical tone: Typology and theory

Nicholas Revett Rolle
2018 Berkeley Papers in Formal Linguistics  
This basemap is extracted based on the common structure shared by all nouns in Kalabari, which is a toneless and abstract target form //ττ// (the number of TBUs is calibrated to the matrix input).  ...  In this case, {B} is the outer element and {D} is the inner element, inner/outer relations being familiar to morpho-phonological analysis.  ...  This basemap is extracted based on the common structure shared by all nouns in Kalabari, which is a toneless and abstract target form //ττ//.  ... 
doi:10.5070/bf211040767 fatcat:66vvyngocrcxjnspwhsoeubdfe

Clustering and Relational Ambiguity: from Text Data to Natural Data [article]

Nicolas Turenne
2014 arXiv   pre-print
it may lead to contradictions and background noise.  ...  Text data is often seen as "take-away" materials with little noise and easy to process information. Main questions are how to get data and transform them into a good document format.  ...  We observe several supports setting each one in a different antinomy: -complementary antinomy concerns application (or non-application) of a property ('applicable' / 'non-applicable', 'presence' / 'absence  ... 
arXiv:1311.5401v2 fatcat:nvvq7xy2dvfhjptsh3ft2cwq3a

CHROME Project: Representation and Survey for AI Development [chapter]

Massimiliano Campi, Valeria Cera, Francesco Cutugno, Antonella di Luggo, Domenico Iovane, Antonio Origlia
2021 Representation Challenges. Augmented Reality and Artificial Intelligence in Cultural Heritage and Innovative Design Domain  
published as LOD to solve both the theme of ambiguity and annotation uncertainty and the interpretability of information by an AI; (iii) the modeling of a virtual agent with the development of a mathematical  ...  to the connections between representation, survey, AI and VR.  ...  Iovane worked on architectural data acquisition together with arch. V. Cera who developed the research on semantics. Dr. A. Origlia worked on the A.I. development.  ... 
doi:10.3280/oa-686.27 fatcat:uaclgqgfybhz7aklemipt44gdq

Visualization of Photoinduced Self-Organization Processes in Reaction-Diffusion Media for Modelling of Abiogenesis & Primitive Waves in Morphogenesis

Olle Gradoff
2012 International Journal of Biophysics  
We propose a new modificat ion made in the morphology of biological imaging methods based on new types of components and nets.  ...  Shown its applicability not only in the comparative morphology and evolutionary and systematic, but also in abiogenetic studies.  ...  In this connection it is possible to identify rig id structures in organisms via the princip les of mathematical morpho metry and the theory of transformations [37] . III.  ... 
doi:10.5923/j.biophysics.20120203.01 fatcat:jdv2jbie6rhg5avo3d3r3rdl6y
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