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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

Cross-modal data registration has long been a critical task in computer vision, with extensive applications in autonomous driving and robotics. Accurate and robust registration methods are essential for aligning data from different…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Yuanchao Yue , Hui Yuan , Qinglong Miao , Xiaolong Mao , Raouf Hamzaoui , Peter Eisert

Point clouds are a basic data type that is increasingly of interest as 3D content becomes more ubiquitous. Applications using point clouds include virtual, augmented, and mixed reality and autonomous driving. We propose a more efficient…

Computer Vision and Pattern Recognition · Computer Science 2021-06-04 Ryan Killea , Yun Li , Saeed Bastani , Paul McLachlan

Deep equilibrium models (DEQs) achieve infinitely deep network representations without stacking layers by exploring fixed points of layer transformations in neural networks. Such models constitute an innovative approach that achieves…

Machine Learning · Computer Science 2026-02-04 Naoki Sato , Hideaki Iiduka

Non-rigid alignment of point clouds is crucial for scene understanding, reconstruction, and various computer vision and robotics tasks. Recent advancements in implicit deformation networks for non-rigid registration have significantly…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Mingyang Zhao , Gaofeng Meng , Dong-Ming Yan

We can use a method called registration to integrate some point clouds that represent the shape of the real world. In this paper, we propose highly accurate and stable registration method. Our method detects keypoints from point clouds and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-11 Masaki Yoshii , Ikuko Shimizu

We present a novel algorithm for the registration of pulmonary CT scans. Our method is designed for large respiratory motion by integrating sparse keypoint correspondences into a dense continuous optimization framework. The detection of…

Computer Vision and Pattern Recognition · Computer Science 2018-07-03 Jan Rühaak , Thomas Polzin , Stefan Heldmann , Ivor J. A. Simpson , Heinz Handels , Jan Modersitzki , Mattias P. Heinrich

Ultrafast diffraction imaging is a powerful tool to retrieve the geometric structure of gas-phase molecules with combined picometre spatial and attosecond temporal resolution. However, structural retrieval becomes progressively difficult…

Chemical Physics · Physics 2021-10-13 Xinyao Liu , Kasra Amini , Aurelien Sanchez , Blanca Belsa , Tobias Steinle , Jens Biegert

Cloud-edge collaboration enhances machine perception by combining the strengths of edge and cloud computing. Edge devices capture raw data (e.g., 3D point clouds) and extract salient features, which are sent to the cloud for deeper analysis…

Image and Video Processing · Electrical Eng. & Systems 2026-03-05 Chongzhen Tian , Hui Yuan , Pan Zhao , Chang Sun , Raouf Hamzaoui , Sam Kwong

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

Orthogonality regularization has been developed to prevent deep CNNs from training instability and feature redundancy. Among existing proposals, kernel orthogonality regularization enforces orthogonality by minimizing the residual between…

Computer Vision and Pattern Recognition · Computer Science 2023-06-19 Changhao Wu , Shenan Zhang , Fangsong Long , Ziliang Yin , Tuo Leng

We provide a new, analytic kernel for scale space filtering of dMRI data. The kernel is an approximation for the Green's function of a hypo-elliptic diffusion on the 3D rigid body motion group SE(3), for fiber enhancement in dMRI. The…

Analysis of PDEs · Mathematics 2015-06-09 J. M. Portegies , G. R. Sanguinetti , S. P. L Meesters , R. Duits

Though, deep learning based medical image registration is currently starting to show promising advances, often, it still fells behind conventional frameworks in terms of registration accuracy. This is especially true for applications where…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Lasse Hansen , Mattias P. Heinrich

In recent years, kernel density estimation has been exploited by computer scientists to model machine learning problems. The kernel density estimation based approaches are of interest due to the low time complexity of either O(n) or…

Machine Learning · Statistics 2007-10-16 Yen-Jen Oyang , Darby Tien-Hao Chang , Yu-Yen Ou , Hao-Geng Hung , Chih-Peng Wu , Chien-Yu Chen

This paper reports on a novel nonparametric rigid point cloud registration framework that jointly integrates geometric and semantic measurements such as color or semantic labels into the alignment process and does not require explicit data…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Ray Zhang , Tzu-Yuan Lin , Chien Erh Lin , Steven A. Parkison , William Clark , Jessy W. Grizzle , Ryan M. Eustice , Maani Ghaffari

We discuss a general framework for recovering edges in piecewise smooth functions with finitely many jump discontinuities, where $[f](x):=f(x+)-f(x-) \neq 0$. Our approach is based on two main aspects--localization using appropriate…

Numerical Analysis · Mathematics 2025-10-20 Anne Gelb , Eitan Tadmor

Medical image registration is crucial for various clinical and research applications including disease diagnosis or treatment planning which require alignment of images from different modalities, time points, or subjects. Traditional…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Ahsan Raza Siyal , Markus Haltmeier , Ruth Steiger , Malik Galijasevic , Elke Ruth Gizewski , Astrid Ellen Grams

This paper presents an end-to-end differentiable algorithm for robust and detail-preserving surface normal estimation on unstructured point-clouds. We utilize graph neural networks to iteratively parameterize an adaptive anisotropic kernel…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Jan Eric Lenssen , Christian Osendorfer , Jonathan Masci

This paper establishes a kernel-based framework for reconstructing data on manifolds, tailored to fit the dynamic-(d)MRI-data recovery problem. The proposed methodology exploits simple tangent-space geometries of manifolds in reproducing…

Machine Learning · Computer Science 2020-02-28 Gaurav N. Shetty , Konstantinos Slavakis , Ukash Nakarmi , Gesualdo Scutari , Leslie Ying

Advances in deep neural networks (DNNs) are transforming science and technology. However, the increasing computational demands of the most powerful DNNs limit deployment on low-power devices, such as smartphones and sensors -- and this…