Persistent Homology: a Step-by-step Introduction for Newcomers (Unknown language)

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Persistent homology is a powerful notion rooted in topological data analysis which allows for retrieving the essential topological features of an object. The attention on persistent homology is constantly growing in a large number of application domains, such as biology and chemistry, astrophysics, automatic classification of images, sensor and social network analysis. Thus, an increasing number of researchers is now approaching to persistent homology as a tool to be used in their research activity. At the same time, the literature lacks of tools for introducing beginners to this topic, especially if they do not have a strong mathematical background in algebraic topology. We propose here two complementary tools which meet this requirement. The first one is a web-based user-guide equipped with interactive examples to facilitate the comprehension of the notions at the basis of persistent homology. The second one is an interactive tool, with a specific focus on shape analysis, developed for studying persistence pairs by visualizing them directly on the input complex.

Table of contents conference proceedings

The table of contents of the conference proceedings is generated automatically, so it can be incomplete, although all articles are available in the TIB.

1
Persistent Homology: a Step-by-step Introduction for Newcomers
Fugacci, Ulderico / Scaramuccia, Sara / Iuricich, Federico / Floriani, Leila De | 2016
11
Manipulating Topological Decompositions of Non-Manifold Shapes
Canino, David | 2016
21
Design and Fabrication of Grid-shells Mockups
Tonelli, Davide / Pietroni, Nico / Cignoni, Paolo / Scopigno, Roberto | 2016
29
Tracking the Evolution of Rainfall Precipitation Fields Using Persistent Maxima
Biasotti, Silvia / Cerri, Andrea / Pittaluga, Simone / Sobrero, Davide / Spagnuolo, Michela | 2016
39
Tonal Art Maps with Image Space Strokes
Szécsi, László / Szirányi, Marcell / Kacsó, Ágota | 2016
45
Selective Rasterized Ray-traced Reflections on the GPU
Kastrati, Mattias Frid / Goswami, Prashant | 2016
53
Kernel-Reflection Sequences
Szécsi, László / Bendefy, Zoltán / Kacsó, Ágota | 2016
63
Practical Offline Rendering of Woven Cloth
Nelson, Vidar / McEvoy, Peter M. / Fratarcangeli, Marco | 2016
71
Anisotropic MatCap: Easy Capture and Reproduction of Anisotropic Materials
Magri, Dario / Cignoni, Paolo / Tarini, Marco | 2016
79
Vocal One Switch (VOS) Selection Interfaces for Virtual and Augmented Reality Hands-free Tasks
Manuri, Federico / Sanna, Andrea / Lamberti, Fabrizio / Paravati, Gianluca | 2016
89
Generalized Trackball for Surfing Over Surfaces
Malomo, Luigi / Cignoni, Paolo / Scopigno, Roberto | 2016
99
Automating Large 3D Dataset Publication in a Web-Based Multimedia Repository
Potenziani, Marco / Fritsch, Bernhard / Dellepiane, Matteo / Scopigno, Roberto | 2016
109
Interactive Analytical Treemaps for Visualisation of Call Centre Data
Roberts, Richard C. / Tong, Chao / Laramee, Robert S. / Smith, Gary A. / Brookes, Paul / D'Cruze, Tony | 2016
119
Surface Reconstruction from Range Images
Mariosa, Gianfranco / Fioraio, Nicola / Franchi, Alessandro / Stefano, Luigi Di | 2016
127
Low Cost Handheld 3D Scanning for Architectural Elements Acquisition
Allegra, Dario / Gallo, Giovanni / Inzerillo, Laura / Lombardo, Marcella / Milotta, Filippo L. M. / Santagati, Cettina / Stanco, Filippo | 2016
133
3D Digital Imaging for Knowledge Dissemination of Greek Archaic Statuary
Stanco, Filippo / Tanasi, Davide / Allegra, Dario / Milotta, Filippo L. M. | 2016
143
Practical Free-form RTI Acquisition with Local Spot Lights
Pintus, Ruggero / Ciortan, Irina Mihaela / Giachetti, Andrea / Gobbetti, Enrico | 2016
151
Retinal Image Analysis with Shearlets
Levet, Francesco / Duval-Poo, Miguel A. / Vito, Ernesto De / Odone, Francesca | 2016