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We propose a method to match anatomical locations between pairs of medical images in longitudinal comparisons. The matching is made possible by computing a descriptor of the query point in a source image based on a hierarchical sparse…

Image and Video Processing · Electrical Eng. & Systems 2023-09-26 Halid Ziya Yerebakan , Yoshihisa Shinagawa , Mahesh Ranganath , Simon Allen-Raffl , Gerardo Hermosillo Valadez

The Euler-Poincar\'e (EP) equations describe the geodesic motion on the diffeomorphism group. For template matching (template deformation), the Euler-Lagrangian equation, arising from minimizing an energy function, falls into the…

Numerical Analysis · Mathematics 2015-10-15 Roberto Camassa , Dongyang Kuang , Long Lee

Using geometric landmarks like lines and planes can increase navigation accuracy and decrease map storage requirements compared to commonly-used LiDAR point cloud maps. However, landmark-based registration for applications like loop closure…

Robotics · Computer Science 2022-12-27 Parker C. Lusk , Devarth Parikh , Jonathan P. How

Multi-modal registration is a required step for many image-guided procedures, especially ultrasound-guided interventions that require anatomical context. While a number of such registration algorithms are already available, they all require…

Image and Video Processing · Electrical Eng. & Systems 2022-05-10 Viktoria Markova , Matteo Ronchetti , Wolfgang Wein , Oliver Zettinig , Raphael Prevost

Multimodal image registration is a challenging but essential step for numerous image-guided procedures. Most registration algorithms rely on the computation of complex, frequently non-differentiable similarity metrics to deal with the…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Matteo Ronchetti , Wolfgang Wein , Nassir Navab , Oliver Zettinig , Raphael Prevost

Accurately registering in-vivo two-photon and ex-vivo fluorescence micro-optical sectioning tomography images of individual neurons is critical for structure-function analysis in neuroscience. This task is profoundly challenging due to a…

Image and Video Processing · Electrical Eng. & Systems 2025-11-27 Wenwei Li , Lingyi Cai , Hui Gong , Qingming Luo , Anan Li

This work proposes a multimodal diffeomorphic registration method using Neural Ordinary Differential Equations (Neural ODEs). Nonrigid registration algorithms exhibit tradeoffs between their accuracy, the computational complexity of their…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Salvador Rodriguez-Sanz , Monica Hernandez

In current biological and medical research, statistical shape modeling (SSM) provides an essential framework for the characterization of anatomy/morphology. Such analysis is often driven by the identification of a relatively small number of…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Riddhish Bhalodia , Shireen Elhabian , Ladislav Kavan , Ross Whitaker

The ability to build maps is a key functionality for the majority of mobile robots. A central ingredient to most mapping systems is the registration or alignment of the recorded sensor data. In this paper, we present a general methodology…

Computer Vision and Pattern Recognition · Computer Science 2017-09-19 Bartolomeo Della Corte , Igor Bogoslavskyi , Cyrill Stachniss , Giorgio Grisetti

Point cloud registration is a fundamental problem in 3D scanning. In this paper, we address the frequent special case of registering terrestrial LiDAR scans (or, more generally, levelled point clouds). Many current solutions still rely on…

Computer Vision and Pattern Recognition · Computer Science 2018-12-03 Zhipeng Cai , Tat-Jun Chin , Alvaro Parra Bustos , Konrad Schindler

We consider the leapfrog algorithm by Noakes for computing geodesics on Riemannian manifolds. The main idea behind this algorithm is to subdivide the original endpoint geodesic problem into several local problems, for which the endpoint…

Numerical Analysis · Mathematics 2024-09-04 Marco Sutti , Tommaso Vanzan

Deformable image registration (DIR), aiming to find spatial correspondence between images, is one of the most critical problems in the domain of medical image analysis. In this paper, we present a novel, generic, and accurate diffeomorphic…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Yifan Wu , Tom Z. Jiahao , Jiancong Wang , Paul A. Yushkevich , M. Ani Hsieh , James C. Gee

Registration of 3D LiDAR point clouds with optical images is critical in the combination of multi-source data. Geometric misalignment originally exists in the pose data between LiDAR point clouds and optical images. To improve the accuracy…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 Hao Ma , Jingbin Liu , Keke Liu , Hongyu Qiu , Dong Xu , Zemin Wang , Xiaodong Gong , Sheng Yang

One-shot medical landmark detection gains much attention and achieves great success for its label-efficient training process. However, existing one-shot learning methods are highly specialized in a single domain and suffer domain preference…

Computer Vision and Pattern Recognition · Computer Science 2025-05-16 Heqin Zhu , Quan Quan , Qingsong Yao , Zaiyi Liu , S. Kevin Zhou

Image registration is a process of aligning two or more images of same objects using geometric transformation. Most of the existing approaches work on the assumption of location invariance. These approaches require object-centric images to…

Computer Vision and Pattern Recognition · Computer Science 2019-01-14 Deepak Mishra , Rajeev Ranjan , Santanu Chaudhury , Mukul Sarkar , Arvinder Singh Soin

Registration, which aims to find an optimal one-to-one correspondence between different data, is an important problem in various fields. This problem is especially challenging when large deformations occur. In this paper, we present a novel…

Differential Geometry · Mathematics 2013-10-08 Lam Ka Chun , Lok Ming Lui

With this work, we release CLAIRE, a distributed-memory implementation of an effective solver for constrained large deformation diffeomorphic image registration problems in three dimensions. We consider an optimal control formulation. We…

Optimization and Control · Mathematics 2020-09-01 Andreas Mang , Amir Gholami , Christos Davatzikos , George Biros

Point cloud registration aligns multiple unposed point clouds into a common reference frame and is a core step for 3D reconstruction and robot localization without initial guess. In this work, we cast registration as conditional generation:…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Yue Pan , Tao Sun , Liyuan Zhu , Lucas Nunes , Iro Armeni , Jens Behley , Cyrill Stachniss

This paper discusses the mathematical framework for designing methods of large deformation matching (LDM) for image registration in computational anatomy. After reviewing the geometrical framework of LDM image registration methods, a…

Chaotic Dynamics · Physics 2015-04-09 M. Bruveris , F. Gay-Balmaz , D. D. Holm , T. S. Ratiu

We present a framework for shape matching in computational anatomy allowing users control of the degree to which the matching is diffeomorphic. This control is given as a function defined over the image and parameterises the template…

Image and Video Processing · Electrical Eng. & Systems 2019-05-23 Andreas Bock , Alexis Arnaudon , Colin Cotter