Computational Topology for Biomedical Image and Data Analysis

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.

Autorentext

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.

Inhalt

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