Concept

Closing (morphology)

In mathematical morphology, the closing of a set () A by a structuring element B is the erosion of the dilation of that set, where and denote the dilation and erosion, respectively. In , closing is, together with opening, the basic workhorse of morphological noise removal. Opening removes small objects, while closing removes small holes. It is idempotent, that is, . It is increasing, that is, if , then . It is extensive, i.e., . It is translation invariant. Image Analysis and Mathematical Morphology by Jean Serra, (1982) Image Analysis and Mathematical Morphology, Volume 2: Theoretical Advances by Jean Serra, (1988) An Introduction to Morphological Image Processing by Edward R.

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https://en.wikipedia.org/wiki/Closing_(morphology)

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Related concepts (5)

Mathematical morphology

Mathematical morphology (MM) is a theory and technique for the analysis and processing of geometrical structures, based on set theory, lattice theory, topology, and random functions. MM is most commonly applied to s, but it can be employed as well on graphs, surface meshes, solids, and many other spatial structures. Topological and geometrical continuous-space concepts such as size, shape, convexity, connectivity, and geodesic distance, were introduced by MM on both continuous and discrete spaces.

Dilation (morphology)

Dilation (usually represented by ⊕) is one of the basic operations in mathematical morphology. Originally developed for , it has been expanded first to grayscale images, and then to complete lattices. The dilation operation usually uses a structuring element for probing and expanding the shapes contained in the input image. In binary morphology, dilation is a shift-invariant (translation invariant) operator, equivalent to Minkowski addition. A binary image is viewed in mathematical morphology as a subset of a Euclidean space Rd or the integer grid Zd, for some dimension d.

Opening (morphology)

In mathematical morphology, opening is the dilation of the erosion of a set A by a structuring element B: where and denote erosion and dilation, respectively. Together with closing, the opening serves in computer vision and as a basic workhorse of morphological noise removal. Opening removes small objects from the foreground (usually taken as the bright pixels) of an image, placing them in the background, while closing removes small holes in the foreground, changing small islands of background into foreground.

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Official source

https://en.wikipedia.org/wiki/Closing_(morphology)

About this result

Related courses (1)

MICRO-511: Image processing I

Related lectures (2)

Image Processing I: Morphological Filtering and Operators

Explores dilation, erosion, opening, closing, and graylevel morphology in image processing.

Morphological Operations MOOC: Image Processing and Analysis for Life Scientists

Covers basic to advanced morphological operations for image analysis workflows.

Related publications (5)

Recent Advances of Malaria Parasites Detection Systems Based on Mathematical Morphology

Michel Kocher

2018

A Disk Asymmetry in Motion Around the B[e] Star MWC158

Ferréol Arnaud Marie Soulez

EDP Sciences2016

Characterising Internal Heat Transfer in Thermal Protection Systems

Pénélope Leyland

2014

Related people (6)

Devis Tuia

I come from Ticino and studied in Lausanne, between UNIL and EPFL. After my PhD at UNIL in remote sensing, I was postdoc in Valencia (Spain), Boulder (CO) and EPFL, working on model adaptation and prior knowledge integration in machine learning. In 2014 I became Research Assistant Professor at University of Zurich, where I started the 'multimodal remote sensing' group. In 2017, I joined Wageningen University (NL), where I was professor of the GeoInformation Science and Remote Sensing Laboratory. Since 2020, I joined EPFL Valais, to start the ECEO lab, working at the interface between Earth observation, machine learning and environmental sciences.

Dragan Damjanovic

Dragan Damjanovic received BSc diploma in Physics from the Faculty of Natural Sciences and Mathematics, University of Sarajevo, in 1980, and PhD in Ceramics Science from the Department of Materials Science and Engineering, College of Earth and Mineral Sciences, the Pennsylvania State University (PSU) in 1987. From 1988 to 1991 he was a research associate in the Materials Research Laboratory at the PSU. He joined the Ceramics Laboratory, Department of Materials Science and Engineering, Ecole polytechnique fédérale de Lausanne in 1991. He is currently a "professeur titulaire", heads the Group for Ferroelectrics and Functional Oxides at the Institute of Materials and teaches undergraduate and graduate courses on structure and electrical properties of materials. The research activities include fundamental and applied investigations of piezoelectric, ferroelectric and dielectric properties of a broad class of materials.

Yves Leterrier

Yves Leterrier joined EPFL in 1993 and is a faculty member of the Materials Institute. He is a senior scientist and lecturer in the Laboratory for Processing of Advanced Composites (LPAC, previously Laboratory of Composite and Polymer Technology, LTC). Activities 2000-2005: Foundation and Chair of the Korea-Switzerland joint symposia on materials and micro-technologies2004-2008: Board member of FLEXIDIS (the European flexible display consortium) 2004-2009: Group leader on lightweight materials for Solar ImpulseSince 2008: Board member of the French Adhesion SocietySince 2000: President of the EPFL Materials Science Library commissionSince 2012: Editorial board member, Applied Surface ScienceSince 2014: Associate Editor, Frontiers in MaterialsSince 2021: Coordinator of the EPFL Minor on 'Engineering for Sustainability' Background 1987: MS in materials science and solid state physics (INPL, France) 1991: PhD in materials science (Ecole des Mines, INPL, France) 1992: Research Associate, National Institute of Standards and Technology (NIST, USA)

Véronique Michaud

Background: 1994 Habilitation à diriger des recherches ( INPG, France) 1991 PhD in Materials Engineering ( MIT, USA) 1987 Ingénieur Civil des Mines ( Ecole des Mines de Paris, France) Activities: Since January 2018: Associate Dean of Engineering, in charge of Education June 2012-Dec.2017: Head of the Materials Science and Engineering Section Since April 2017: Associate Professor at EPFL 2009-2017 : Professeur Titulaire at EPFL 1997-2009: Researcher at EPFL 1994-1997 : Chef de Travaux au laboratoire MSS-MAT, Ecole Centrale Paris (France) 1991-1994 : Post-doctoral research associate, MIT (USA) Author of about 300 publications of which 140 in peer-reviewed journals

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