Computational Topology for Biomedical Image and Data Analysis: Theory and Applications, 1st Edition (Hardback) book cover

Computational Topology for Biomedical Image and Data Analysis

Theory and Applications, 1st Edition

By Rodrigo Rojas Moraleda, Nektarios A. Valous, Wei Xiong, Niels Halama

CRC Press

114 pages | 13 B/W Illus.

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Hardback: 9781138336346
pub: 2019-08-08
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Description

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

Table of Contents

Chapter 1. Elements of Topology and Homology.

Chapter 2. Persistent Homology of Images.

Chapter 3. Recognizing Noise.

Chapter 4. Image Segmentation.

Chapter 5. Point Cloud Characterization.

About the Authors

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.

About the Series

Focus Series in Medical Physics and Biomedical Engineering

CRC Press Focus Series in Medical Physics and Biomedical Engineering

Series Editors: Magdalena S. Stoeva and Tae-Suk Suh

Aims and Scope

The CRC Press Focus Series in Medical Physics and Biomedical Engineering is a sub-series of the CRC Press Series in Medical Physics and Biomedical Engineering; a leading international book series and the official book series of the International Organization for Medical Physics (IOMP).

Titles in this sub-series explore hot topics targeting the applications of physical sciences, engineering, and mathematics in medicine and clinical research. They are available very quickly as eBooks and print-on-demand hardbacks, meeting the need for up-to-date texts in this rapidly developing field. More information on our Focus Publishing Program is available here: https://www.crcpress.com/go/focus

The CRC Press Focus Series in Medical Physics and Biomedical Engineering is seeking new authors. If you are interested in writing or editing a book for the series, we would be delighted to hear from you. Please contact Rebecca Davies, Editor for Physics books, at Rebecca.Davies@tandf.co.uk, or contact any of the Series Editors.

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MED080000
MEDICAL / Radiology & Nuclear Medicine
SCI055000
SCIENCE / Physics
TEC015000
TECHNOLOGY & ENGINEERING / Imaging Systems