article

SMI 2012: Short Dimension-independent multi-resolution Morse complexes

Authors:

Leila De Floriani,

Federico IuricichAuthors Info & Claims

Computers and Graphics, Volume 36, Issue 5

Pages 541 - 547

https://doi.org/10.1016/j.cag.2012.03.010

Published: 01 August 2012 Publication History

Abstract

Morse and Morse-Smale complexes have been recognized as a suitable model for representing topological information extracted from discrete scalar fields. Here, we propose a dimension-independent multi-resolution model for Morse complexes built on a graph representation of the complexes, that we call a Multi-Resolution Morse Incidence Graph (MMIG). We define data structures for encoding the MMIG and we discuss how to extract from an MMIG topological representations of the scalar field over its domain M at both uniform and variable resolutions. We present experimental results evaluating the storage cost of the data structures encoding the MMIG, and timings for building and querying an MMIG.

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Digital Library

Cited By

Song YFellegara RIuricich FDe Floriani L(2024)Parallel Topology-aware Mesh Simplification on Terrain TreesACM Transactions on Spatial Algorithms and Systems10.1145/365260210:2(1-39)Online publication date: 13-Mar-2024
https://dl.acm.org/doi/10.1145/3652602
Song YFellegara RIuricich FDe Floriani L(2021)Efficient topology-aware simplification of large triangulated terrainsProceedings of the 29th International Conference on Advances in Geographic Information Systems10.1145/3474717.3484261(576-587)Online publication date: 2-Nov-2021
https://dl.acm.org/doi/10.1145/3474717.3484261
Heine CLeitte HHlawitschka MIuricich FDe Floriani LScheuermann GHagen HGarth C(2016)A Survey of Topology-based Methods in VisualizationComputer Graphics Forum10.5555/3071534.307159335:3(643-667)Online publication date: 1-Jun-2016
https://dl.acm.org/doi/10.5555/3071534.3071593
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cover image Computers and Graphics

Computers and Graphics Volume 36, Issue 5

August, 2012

280 pages

ISSN:0097-8493

Issue’s Table of Contents

Copyright © Elsevier Ltd © 2012.

Publisher

Pergamon Press, Inc.

United States

Publication History

Published: 01 August 2012

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Cited By

Song YFellegara RIuricich FDe Floriani L(2024)Parallel Topology-aware Mesh Simplification on Terrain TreesACM Transactions on Spatial Algorithms and Systems10.1145/365260210:2(1-39)Online publication date: 13-Mar-2024
https://dl.acm.org/doi/10.1145/3652602
Song YFellegara RIuricich FDe Floriani L(2021)Efficient topology-aware simplification of large triangulated terrainsProceedings of the 29th International Conference on Advances in Geographic Information Systems10.1145/3474717.3484261(576-587)Online publication date: 2-Nov-2021
https://dl.acm.org/doi/10.1145/3474717.3484261
Heine CLeitte HHlawitschka MIuricich FDe Floriani LScheuermann GHagen HGarth C(2016)A Survey of Topology-based Methods in VisualizationComputer Graphics Forum10.5555/3071534.307159335:3(643-667)Online publication date: 1-Jun-2016
https://dl.acm.org/doi/10.5555/3071534.3071593
De Floriani LFugacci UIuricich FMagillo P(2015)Morse complexes for shape segmentation and homological analysisComputer Graphics Forum10.1111/cgf.1259634:2(761-785)Online publication date: 1-May-2015
https://dl.acm.org/doi/10.1111/cgf.12596
Iuricich FFugacci UDe Floriani L(2015)Topologically-consistent simplification of discrete Morse complexComputers and Graphics10.1016/j.cag.2015.05.00751:C(157-166)Online publication date: 1-Oct-2015
https://dl.acm.org/doi/10.1016/j.cag.2015.05.007

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