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Hardware acceleration of persistent homology computation

  • Stony Brook University
  • Rutgers - The State University of New Jersey, New Brunswick

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

As a powerful tool for topological data analysis, persistent homology captures topological structures of data in a robust manner. Its pertinent information is summarized in a persistence diagram, which records topological structures, as well as their saliency. Recent years have witnessed an increased interest of persistent homology in various domains. In biomedical image analysis, persistent homology has been applied to brain images, neuron images, cardiac images and cancer pathology images. Meanwhile, the computation of persistent homology could be time-consuming due to column operations over a large matrix, called the boundary matrix. This paper seeks to accelerate persistent homology computation with a hardware implementation of the column operations of the boundary matrix. By designing a dedicated hardware to process fast matrix reduction, the proposed hardware accelerator could potentially achieve up to 20k–30k times speed-up.

Original languageEnglish
Title of host publicationLarge-Scale Annotation of Biomedical Data and Expert Label Synthesis and Hardware Aware Learning for Medical Imaging and Computer Assisted Intervention - International Workshops, LABELS 2019, HAL-MICCAI 2019, and CuRIOUS 2019, held in Conjunction with MICCAI 2019, Proceedings
EditorsLuping Zhou, Nicholas Heller, Yiyu Shi, Danny Chen, X. Sharon Hu, Yiming Xiao, Raphael Sznitman, Veronika Cheplygina, Diana Mateus, Emanuele Trucco, Matthieu Chabanas, Hassan Rivaz, Ingerid Reinertsen
PublisherSpringer
Pages81-88
Number of pages8
ISBN (Print)9783030336417
DOIs
StatePublished - 2019
Event4th International Workshop on Large-Scale Annotation of Biomedical Data and Expert Label Synthesis, LABELS 2019, the 1st International Workshop on Hardware Aware Learning for Medical Imaging and Computer Assisted Intervention, HAL-MICCAI 2019, and the 2nd International Workshop on Correction of Brainshift with Intra-Operative Ultrasound, CuRIOUS 2019, held in conjunction with the 22nd International Conference on Medical Imaging and Computer-Assisted Intervention, MICCAI 2019 - Shenzhen, China
Duration: Oct 17 2019Oct 17 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11851 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference4th International Workshop on Large-Scale Annotation of Biomedical Data and Expert Label Synthesis, LABELS 2019, the 1st International Workshop on Hardware Aware Learning for Medical Imaging and Computer Assisted Intervention, HAL-MICCAI 2019, and the 2nd International Workshop on Correction of Brainshift with Intra-Operative Ultrasound, CuRIOUS 2019, held in conjunction with the 22nd International Conference on Medical Imaging and Computer-Assisted Intervention, MICCAI 2019
Country/TerritoryChina
CityShenzhen
Period10/17/1910/17/19

Keywords

  • Hardware acceleration
  • Matrix operation
  • Persistent homology
  • Topology data analysis

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