학술논문

$\mathcal {X}$-Metric: An N-Dimensional Information-Theoretic Framework for Groupwise Registration and Deep Combined Computing
Document Type
Periodical
Author
Source
IEEE Transactions on Pattern Analysis and Machine Intelligence IEEE Trans. Pattern Anal. Mach. Intell. Pattern Analysis and Machine Intelligence, IEEE Transactions on. 45(7):9206-9224 Jul, 2023
Subject
Computing and Processing
Bioengineering
Maximum likelihood estimation
Information theory
Image segmentation
Computational modeling
Measurement
Entropy
Biomedical imaging
Combined computing
groupwise registration
maximum likelihood
segmentation
Language
ISSN
0162-8828
2160-9292
1939-3539
Abstract
This article presents a generic probabilistic framework for estimating the statistical dependency and finding the anatomical correspondences among an arbitrary number of medical images. The method builds on a novel formulation of the $N$N-dimensional joint intensity distribution by representing the common anatomy as latent variables and estimating the appearance model with nonparametric estimators. Through connection to maximum likelihood and the expectation-maximization algorithm, an information-theoretic metric called $\mathcal {X}$X-metric and a co-registration algorithm named $\mathcal {X}$X-CoReg are induced, allowing groupwise registration of the $N$N observed images with computational complexity of $\mathcal {O}(N)$O(N). Moreover, the method naturally extends for a weakly-supervised scenario where anatomical labels of certain images are provided. This leads to a combined-computing framework implemented with deep learning, which performs registration and segmentation simultaneously and collaboratively in an end-to-end fashion. Extensive experiments were conducted to demonstrate the versatility and applicability of our model, including multimodal groupwise registration, motion correction for dynamic contrast enhanced magnetic resonance images, and deep combined computing for multimodal medical images. Results show the superiority of our method in various applications in terms of both accuracy and efficiency, highlighting the advantage of the proposed representation of the imaging process. Code is available from https://zmiclab.github.io/projects.html.