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This paper proposes a new framework and algorithms to address the problem of diffeomorphic registration on a general class of geometric objects that can be described as discrete distributions of local direction vectors. It builds on both…

Optimization and Control · Mathematics 2018-02-15 Hsi-Wei Hsieh , Nicolas Charon

The paper adapts the large deformation diffeomorphic metric mapping framework for image registration to the indirect setting where a template is registered against a target that is given through indirect noisy observations. The registration…

Numerical Analysis · Mathematics 2019-11-06 Chong Chen , Ozan Öktem

We propose a fluid-based registration framework of medical images based on implicit neural representation. By integrating implicit neural representation and Large Deformable Diffeomorphic Metric Mapping (LDDMM), we employ a Multilayer…

Image and Video Processing · Electrical Eng. & Systems 2023-11-28 Chulong Zhang , Xiaokun Liang

Over the past several decades, geometric mapping methods have been extensively developed and utilized for many practical problems in science and engineering. To assess the quality of geometric mappings, one common consideration is their…

Graphics · Computer Science 2026-04-14 Zhiyuan Lyu , Gary P. T. Choi

We propose a new method to obtain landmark-matching transformations between n-dimensional Euclidean spaces with large deformations. Given a set of feature correspondences, our algorithm searches for an optimal folding-free mapping that…

Computational Geometry · Computer Science 2015-05-12 Lee Yin Tat , Lam Ka Chun , Lui Lok Ming

Image registration is a fundamental task in medical image analysis. Recently, deep learning based image registration methods have been extensively investigated due to their excellent performance despite the ultra-fast computational time.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Boah Kim , Dong Hwan Kim , Seong Ho Park , Jieun Kim , June-Goo Lee , Jong Chul Ye

Registration is an essential tool in image analysis. Deep learning based alternatives have recently become popular, achieving competitive performance at a faster speed. However, many contemporary techniques are limited to volumetric…

Image and Video Processing · Electrical Eng. & Systems 2021-09-29 Balder Croquet , Daan Christiaens , Seth M. Weinberg , Michael Bronstein , Dirk Vandermeulen , Peter Claes

We propose a generalization of the iterative closest point (ICP) algorithm for point set registration, in which the registration functions are non-rigid and follow the large deformation diffeomorphic metric mapping (LDDMM) framework. The…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Adrien Wohrer

Classical deformable registration techniques achieve impressive results and offer a rigorous theoretical treatment, but are computationally intensive since they solve an optimization problem for each image pair. Recently, learning-based…

Computer Vision and Pattern Recognition · Computer Science 2019-07-26 Adrian V. Dalca , Guha Balakrishnan , John Guttag , Mert R. Sabuncu

We present a method to predict image deformations based on patch-wise image appearance. Specifically, we design a patch-based deep encoder-decoder network which learns the pixel/voxel-wise mapping between image appearance and registration…

Computer Vision and Pattern Recognition · Computer Science 2016-07-11 Xiao Yang , Roland Kwitt , Marc Niethammer

This paper presents a method to compute the {\it quasi-conformal parameterization} (QCMC) for a multiply-connected 2D domain or surface. QCMC computes a quasi-conformal map from a multiply-connected domain $S$ onto a punctured disk $D_S$…

Computational Geometry · Computer Science 2014-03-27 Kin Tat Ho , Lok Ming Lui

Accurate tracking of an anatomical landmark over time has been of high interests for disease assessment such as minimally invasive surgery and tumor radiation therapy. Ultrasound imaging is a promising modality benefiting from low-cost and…

Computer Vision and Pattern Recognition · Computer Science 2023-02-01 Zhihua Liu , Bin Yang , Yan Shen , Xuejun Ni , Huiyu Zhou

Deformable image registration is a fundamental task in medical image analysis and plays a crucial role in a wide range of clinical applications. Recently, deep learning-based approaches have been widely studied for deformable medical image…

Image and Video Processing · Electrical Eng. & Systems 2023-07-03 Jing Zou , Noémie Debroux , Lihao Liu , Jing Qin , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

Deformable image registration is one of the fundamental tasks in medical imaging. Classical registration algorithms usually require a high computational cost for iterative optimizations. Although deep-learning-based methods have been…

Image and Video Processing · Electrical Eng. & Systems 2022-09-30 Boah Kim , Inhwa Han , Jong Chul Ye

We propose a deformable registration algorithm based on unsupervised learning of a low-dimensional probabilistic parameterization of deformations. We model registration in a probabilistic and generative fashion, by applying a conditional…

Computer Vision and Pattern Recognition · Computer Science 2018-07-23 Julian Krebs , Tommaso Mansi , Boris Mailhé , Nicholas Ayache , Hervé Delingette

Deformable registration consists of finding the best dense correspondence between two different images. Many algorithms have been published, but the clinical application was made difficult by the high calculation time needed to solve the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-25 Théo Estienne , Maria Vakalopoulou , Enzo Battistella , Theophraste Henry , Marvin Lerousseau , Amaury Leroy , Nikos Paragios , Eric Deutsch

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

In this work, we develop a framework for shape analysis using inconsistent surface mapping. Traditional landmark-based geometric morphometrics methods suffer from the limited degrees of freedom, while most of the more advanced non-rigid…

Computational Geometry · Computer Science 2020-10-30 Gary P. T. Choi , Di Qiu , Lok Ming Lui

We propose a novel weakly supervised discriminative algorithm for learning context specific registration metrics as a linear combination of conventional similarity measures. Conventional metrics have been extensively used over the past two…

Computer Vision and Pattern Recognition · Computer Science 2017-07-21 Enzo Ferrante , Puneet K Dokania , Rafael Marini , Nikos Paragios

Medical image registration is a challenging task involving the estimation of spatial transformations to establish anatomical correspondence between pairs or groups of images. Recently, deep learning-based image registration methods have…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Xiang Chen , Yan Xia , Nishant Ravikumar , Alejandro F Frangi