Cited by 2,445Medical Image Segmentation TechniquesAdvanced Vision and ImagingAdvanced Radiotherapy Techniques

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Image matching as a diffusion process: an analogy with maxwell’s demons

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Thirion, J.-P.·1998·Medical Image Analysis

Abstract

In this paper, we present the concept of diffusing models to perform image-to-image matching. Having two images to match, the main idea is to consider the objects boundaries in one image as semi-permeable membranes and to let the other image, considered as a deformable grid model, diffuse through these interfaces, by the action of effectors situated within the membranes. We illustrate this concept by an analogy with Maxwell's demons. We show that this concept relates to more traditional ones, based on attraction, with an intermediate step being optical flow techniques. We use the concept of diffusing models to derive three different non-rigid matching algorithms, one using all the intensity levels in the static image, one using only contour points, and a last one operating on already segmented images. Finally, we present results with synthesized deformations and real medical images, with applications to heart motion tracking and three-dimensional inter-patients matching.

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References 66 · Cited by 2,445

Research works printed but not linked: 34

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Metadata

Authors
Thirion, J.-P.
Affiliations
Institut national de recherche en sciences et technologies du numérique (FR)
Corresponding author
Thirion, J.-P.
Venue
Medical Image Analysis
Publisher
Elsevier BV
Published
1998-09
Volume
2
Issue
3
Pages
243-260
ISSN
1361-8415 (ISSN-L)
OpenAlex
W2158167845
Cited by
2,445
References
66
Citations by year
2026: 59 · 2025: 100 · 2024: 113 · 2023: 97 · 2022: 86 · 2021: 84 · 2020: 110 · 2019: 109 · 2018: 106 · 2017: 77 · 2016: 79 · 2015: 100 · 2014: 125 · 2013: 159 · 2012: 138
FWCI
29.38
Type
journal article
Language
en
Open access
Locations
  • Medical Image Analysis (publishedVersion)
  • PubMed (publishedVersion)
  • HAL (submittedVersion, other-oa)
Topics
  • Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Medical Image Segmentation Techniques
  • Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Vision and Imaging
  • Physical Sciences › Physics and Astronomy › Radiation › Advanced Radiotherapy Techniques
Keywords
diffusion models, Maxwell's demon, non-rigid registration, semipermeable membranes, optical flow, contour-based registration, segmented images, medical image registration
MeSH terms
Algorithms, Animals, Brain, Computer Simulation, Diagnostic Imaging, Dogs, Heart, Humans, Image Processing, Computer-Assisted, Models, Theoretical, Thermodynamics

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