Topological Image Analysis: Methods, Algorithms, ApplicationsMS16

Topological data analysis is having a relevant impact on imaging science, since it supplies an efficient way of extracting qualitative information and making it available for quantitative comparison. This minisymposium will provide a forum for discussion and dissemination of recent developments in topological analysis of images and visual data. The presentations will address the exposition of new theoretical results and techniques based on topology, algebraic topology and geometry for interpreting and understanding the information contained in images.

PART 1
Methods, Algorithms and Applications in Topological Image Analysis
Claudia Landi (University of Modena and Reggio Emilia)
Functional data analysis using a topological summary statistic: an application to brain cancer imaging
Andrew X. Chen (Department of Systems Biology at Columbia University)
Discrete Morse theory for image analysis
Tamal Krishna Dey (The Ohio State University )
Spectral geometry of shapes under topological alterations and its application to shape matching
Luca Cosmo (Ca' Foscari University of Venice)
PART 2
Persistent entropy: a statistical tool for separating topological features from noise
RocĂ­o Gonzalez-Diaz (Universidad de Sevilla)
Local persistent homology of metric-measure spaces in image analysis
Washington Mio (Florida State University)
Computing persistent homology of images with(out) discrete Morse theory
Hubert Wagner (IST Austria)
Efficient computation of multipersistent homology and applications to data analysis and visualization
Federico Iuricich (City University of New York)
PART 3
Topological Analysis of Biomedical Images
Federico Iuricich (City University of New York)
Polygonal meshes of superpixels for image over-segmentation based on topological skeletons
Vitaliy Kurlin (University of Liverpool)
Similarity assessment for the analysis and understanding of 3D shapes: from geometry to topology with an eye to semantics
Michela Spagnuolo (IMATI-CNR)
Topological analytics for large-scale scientific data
Valerio Pascucci (University of Utah)
Organizers:
Massimo Ferri (University of Bologna)
Patrizio Frosini (University of Bologna)
Claudia Landi (University of Modena and Reggio Emilia)
Keywords:
computer graphics, image representation, image segmentation, topological image analysis