Computational Topology for Biomedical Image and Data Analysis

Theory and Applications

Rodrigo Rojas Moraleda, Nektarios Valous, Wei Xiong, Niels Halama (Autoren)

Buch | Hardcover

116 Seiten

2019
CRC Press (Verlag)
978-1-138-33634-6 (ISBN)

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This book provides an accessible yet rigorous introduction to topology and homology focused on the simplicial space. It presents a compact pipeline from the foundations of topology to biomedical applications. It will be of interest to medical physicists, computer scientists, and engineers, as well as undergraduate and graduate students interested in this topic.

Features:

Presents a practical guide to algebraic topology as well as persistence homology

Contains application examples in the field of biomedicine, including the analysis of histological images and point cloud data

Rodrigo Rojas Moraleda obtained his PhD in computer science from Federico Santa María Technical University, Chile. He has research experience in the fields of computational biomedicine and applied mathematics. His current affiliation is with the German Cancer Research Center and the National Center for Tumor Diseases Heidelberg, Germany. Nektarios A. Valous obtained his PhD in biosystems engineering from University College Dublin, Ireland. He has research experience in the fields of computational biomedicine and interdisciplinary physics. His current affiliation is with the German Cancer Research Center and the National Center for Tumor Diseases Heidelberg, Germany. Wei Xiong obtained her PhD in mathematics from Heidelberg University, Germany. She has worked in the statistical physics and theoretical biophysics group (Institute for Theoretical Physics) and has research experience in the fields of computational mathematics and scientific computing. Her current affiliation is with the Institute for Theoretical Physics in Heidelberg University, Germany. Niels Halama is the head of the department of translational immunotherapy in the German Cancer Research Center, Germany. He has research experience in the fields of cancer immunology and computational biomedicine. His current affiliation is with the German Cancer Research Center and the National Center for Tumor Diseases Heidelberg, Germany.

1. Elements of Topology and Homology. 2. Persistent Homology of Images. 3. Recognizing Noise. 4. Image Segmentation. 5. Point Cloud Characterization.

Erscheinungsdatum	29.07.2019
Reihe/Serie	Focus Series in Medical Physics and Biomedical Engineering
Zusatzinfo	8 Line drawings, black and white; 5 Halftones, black and white; 13 Illustrations, black and white
Verlagsort	London
Sprache	englisch
Maße	138 x 216 mm
Gewicht	317 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Medizinische Fachgebiete ► Radiologie / Bildgebende Verfahren ► Radiologie
	Medizin / Pharmazie ► Physiotherapie / Ergotherapie ► Orthopädie
	Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik
	Technik ► Medizintechnik
ISBN-10	1-138-33634-3 / 1138336343
ISBN-13	978-1-138-33634-6 / 9781138336346
Zustand	Neuware