NDLI: Multi-Scale 3D Morse Complexes

Content Provider	IEEE Xplore Digital Library
Author	Comic, L. De Floriani, L.
Copyright Year	2008
Description	Author affiliation: FTN, Novi Sad Univ., Novi Sad (Comic, L.)
Abstract	Morse theory studies the relationship between the topology of a manifold M and the critical points of a scalar function f defined over M. Morse and Morse-Smale complexes, defined by critical points and integral lines of f, induce a subdivision of M into regions of uniform gradient flow, representing the morphology of M in a compact way. Function f can be simplified by canceling its critical points in pairs, thus simplifying the morphological representation of M, given by Morse and Morse-Smale complexes of f. Here, we propose a compact representation for the two Morse complexes in 3D, which is based on encoding the incidence relations of their cells, and on exploiting the duality among the complexes. We define cancellation operations, and their inverse expansion operations, on the Morse complexes and on their dual representation. We propose a multi-scale representation of the Morse complexes which provides a description of such complexes, and thus of the morphology of a 3D scalar field, at different levels of abstraction. This representation allows us also to perform selective refinement operations to extract description of the complexes which varies in different parts of the domain, thus improving efficiency on large data sets, and eliminating the noise in the data through topology simplification.
Starting Page	441
Ending Page	451
File Size	262120
Page Count	11
File Format	PDF
ISBN	9780769532431
DOI	10.1109/ICCSA.2008.10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-06-30
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Topology Shape Morphology Data mining Encoding Data analysis Data visualization Mathematical model
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Libarray of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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