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Cortical surface registration is a fundamental tool for neuroimaging analysis that has been shown to improve the alignment of functional regions relative to volumetric approaches. Classically, image registration is performed by optimizing a…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Mohamed A. Suliman , Logan Z. J. Williams , Abdulah Fawaz , Emma C. Robinson

In deformable registration, the geometric framework - large deformation diffeomorphic metric mapping or LDDMM, in short - has inspired numerous techniques for comparing, deforming, averaging and analyzing shapes or images. Grounded in…

Artificial Intelligence · Computer Science 2022-05-11 Boulbaba Ben Amor , Sylvain Arguillère , Ling Shao

Quasi-conformal (QC) theory is an important topic in complex analysis, which studies geometric patterns of deformations between shapes. Recently, computational QC geometry has been developed and has made significant contributions to medical…

Computational Geometry · Computer Science 2015-10-20 Ting Wei Meng , Lok Ming Lui

We address the problem of registering two surfaces, of which a natural bijection between them does not exist. More precisely, only a partial subset of the source surface is assumed to be in correspondence with a subset of the target…

Computational Geometry · Computer Science 2020-04-10 Di Qiu , Lok-Ming Lui

We present KeyMorph, a deep learning-based image registration framework that relies on automatically detecting corresponding keypoints. State-of-the-art deep learning methods for registration often are not robust to large misalignments, are…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Alan Q. Wang , Evan M. Yu , Adrian V. Dalca , Mert R. Sabuncu

We present a parallel distributed-memory algorithm for large deformation diffeomorphic registration of volumetric images that produces large isochoric deformations (locally volume preserving). Image registration is a key technology in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-25 Andreas Mang , Amir Gholami , George Biros

The worst-case robust adaptive beamforming problem for general-rank signal model is considered. This is a nonconvex problem, and an approximate version of it (obtained by introducing a matrix decomposition on the presumed covariance matrix…

Signal Processing · Electrical Eng. & Systems 2021-09-21 Yongwei Huang , Sergiy A. Vorobyov , Zhi-Quan Luo

The effectiveness of dimensionality reduction with quadratic manifolds hinges on the choice of a reduced basis and the associated quadratic correction terms. Existing approaches typically rely on subspaces spanned by the leading principal…

Numerical Analysis · Mathematics 2026-05-27 Gavin Paxton , Seunghee Cheon , Rudy Geelen , Shane A. McQuarrie

Diffeomorphic image registration, offering smooth transformation and topology preservation, is required in many medical image analysis tasks.Traditional methods impose certain modeling constraints on the space of admissible transformations…

Computer Vision and Pattern Recognition · Computer Science 2022-11-03 Kun Han , Shanlin sun , Xiangyi Yan , Chenyu You , Hao Tang , Junayed Naushad , Haoyu Ma , Deying Kong , Xiaohui Xie

Diffeomorphic image registration (DIR) is a fundamental task in 3D medical image analysis that seeks topology-preserving deformations between image pairs. To ensure diffeomorphism, a common approach is to model the deformation field as the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Mohammadjavad Matinkia , Nilanjan Ray

In medical imaging, most of the image registration methods implicitly assume a one-to-one correspondence between the source and target images (i.e., diffeomorphism). However, this is not necessarily the case when dealing with pathological…

Image and Video Processing · Electrical Eng. & Systems 2022-02-03 Matthis Maillard , Anton François , Joan Glaunès , Isabelle Bloch , Pietro Gori

Many genus-0 surface mapping tasks such as landmark alignment, feature matching, and image-driven registration, can be reduced (via an initial spherical conformal map) to optimizing a spherical self-homeomorphism with controlled distortion.…

Graphics · Computer Science 2026-02-05 Zhehao Xu , Lok Ming Lui

Pre-trained representation is one of the key elements in the success of modern deep learning. However, existing works on continual learning methods have mostly focused on learning models incrementally from scratch. In this paper, we explore…

Machine Learning · Computer Science 2022-08-18 Hyounguk Shon , Janghyeon Lee , Seung Hwan Kim , Junmo Kim

Diffeomorphic deformable image registration is one of the crucial tasks in medical image analysis, which aims to find a unique transformation while preserving the topology and invertibility of the transformation. Deep convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2022-02-09 Ameneh Sheikhjafari , Michelle Noga , Kumaradevan Punithakumar , Nilanjan Ray

Image registration has played an important role in image processing problems, especially in medical imaging applications. It is well known that when the deformation is large, many variational models cannot ensure diffeomorphism. In this…

Numerical Analysis · Mathematics 2022-05-24 Jianping Zhang , Yanyan Li

With the advancement of computer technology, there is a surge of interest in effective mapping methods for objects in higher-dimensional spaces. To establish a one-to-one correspondence between objects, higher-dimensional quasi-conformal…

Computational Geometry · Computer Science 2022-06-30 Daoping Zhang , Gary P. T. Choi , Jianping Zhang , Lok Ming Lui

We present a method for metric optimization in the Large Deformation Diffeomorphic Metric Mapping (LDDMM) framework, by treating the induced Riemannian metric on the space of diffeomorphisms as a kernel in a machine learning context. For…

Computer Vision and Pattern Recognition · Computer Science 2018-08-15 Ayagoz Mussabayeva , Alexey Kroshnin , Anvar Kurmukov , Yulia Dodonova , Li Shen , Shan Cong , Lei Wang , Boris A. Gutman

Diffeomorphic deformable image registration is crucial in many medical image studies, as it offers unique, special properties including topology preservation and invertibility of the transformation. Recent deep learning-based deformable…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Tony C. W. Mok , Albert C. S. Chung

This paper introduces the use of unbalanced optimal transport methods as a similarity measure for diffeomorphic matching of imaging data. The similarity measure is a key object in diffeomorphic registration methods that, together with the…

Numerical Analysis · Mathematics 2017-06-19 Jean Feydy , Benjamin Charlier , François-Xavier Vialard , Gabriel Peyré

Diffeomorphic image registration is crucial for various medical imaging applications because it can preserve the topology of the transformation. This study introduces DCCNN-LSTM-Reg, a learning framework that evolves dynamically and learns…

Image and Video Processing · Electrical Eng. & Systems 2024-11-06 Jinqiu Deng , Ke Chen , Mingke Li , Daoping Zhang , Chong Chen , Alejandro F. Frangi , Jianping Zhang