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Image matching as a diffusion process: an analogy with maxwell’s demons
Open accessAbstract
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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“The traditional registration algorithms are constructed as continuous optimization problems (15, 16) or discrete optimization problems (17).”
From A review of deep learning-based deformable medical image registration (2022) · cites this paper as [15]
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References 66 · Cited by 2,445
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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
- green
- inria.hal.science
- Licence
- 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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