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The computational cost of simulating quantum many-body systems can often be reduced by taking advantage of physical symmetries. While methods exist for specific symmetry classes, a general algorithm to find the full permutation symmetry…

Quantum Physics · Physics 2025-12-01 Saumya Shah , Patrick Rebentrost

Although shape correspondence is a central problem in geometry processing, most methods for this task apply only to two-dimensional surfaces. The neglected task of volumetric correspondence--a natural extension relevant to shapes extracted…

Graphics · Computer Science 2022-11-29 S. Mazdak Abulnaga , Oded Stein , Polina Golland , Justin Solomon

In this paper, we propose a novel large deformation diffeomorphic registration algorithm to align high angular resolution diffusion images (HARDI) characterized by orientation distribution functions (ODFs). Our proposed algorithm seeks an…

Computer Vision and Pattern Recognition · Computer Science 2011-07-26 Jia Du , Alvina Goh , Anqi Qiu

In electrocardiography, the "classic" inverse problem is the reconstruction of electric potentials at a surface enclosing the heart from remote recordings at the body surface and an accurate description of the anatomy. The latter being…

Numerical Analysis · Mathematics 2021-06-29 Lia Gander , Rolf Krause , Michael Multerer , Simone Pezzuto

The majority of current research in deep learning based image registration addresses inter-patient brain registration with moderate deformation magnitudes. The recent Learn2Reg medical registration benchmark has demonstrated that…

Computer Vision and Pattern Recognition · Computer Science 2022-03-02 Mattias P. Heinrich , Lasse Hansen

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

We examine in this paper the problem of image registration from the new perspective where images are given by sparse approximations in parametric dictionaries of geometric functions. We propose a registration algorithm that looks for an…

Computer Vision and Pattern Recognition · Computer Science 2013-12-31 Alhussein Fawzi , Pascal Frossard

Purpose: Echocardiography is commonly used as a non-invasive imaging tool in clinical practice for the assessment of cardiac function. However, delineation of the left ventricle is challenging due to the inherent properties of ultrasound…

Image and Video Processing · Electrical Eng. & Systems 2021-09-07 Deepa Krishnaswamy , Abhilash R. Hareendranathan , Tan Suwatanaviroj , Pierre Boulanger , Harald Becher , Michelle Noga , Kumaradevan Punithakumar

Image identification is one of the most challenging tasks in different areas of computer vision. Scale-invariant feature transform is an algorithm to detect and describe local features in images to further use them as an image matching…

Computer Vision and Pattern Recognition · Computer Science 2018-03-15 Ebrahim Karami , Mohamed Shehata , Andrew Smith

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

Purpose: Segmentation of organs-at-risk (OARs) is a bottleneck in current radiation oncology pipelines and is often time consuming and labor intensive. In this paper, we propose an atlas-based semi-supervised registration algorithm to…

Computer Vision and Pattern Recognition · Computer Science 2019-11-26 Charles Huang , Masoud Badiei , Hyunseok Seo , Ming Ma , Xiaokun Liang , Dante Capaldi , Michael Gensheimer , Lei Xing

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

We introduce an image based algorithmic tool for analyzing multi-component shapes here. Due to the generic concept of multi-component shapes, our method can be applied to the analysis of a wide spectrum of applications where real objects…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Jovisa Zunic , Milos Stojmenovic

Estimating accurate high-dimensional transformations remains very challenging, especially in a clinical setting. In this paper, we introduce a multiscale parameterization of deformations to enhance registration and atlas estimation in the…

Optimization and Control · Mathematics 2025-01-31 Fleur Gaudfernau , Eléonore Blondiaux , Stéphanie Allassonnière , Erwan Le Pennec

The Large Deformation Diffeomorphic Metric Mapping (LDDMM) or flow of diffeomorphism is a classical framework in the field of shape spaces and is widely applied in mathematical imaging and computational anatomy. Essentially, it equips a…

Numerical Analysis · Mathematics 2026-02-27 Benedikt Wirth

We develop a mathematical and numerical framework to solve state estimation problems for applications that present variations in the shape of the spatial domain. This situation arises typically in a biomedical context where inverse problems…

Numerical Analysis · Mathematics 2023-03-14 Felipe Galarce , Damiano Lombardi , Olga Mula

Statistical shape modeling (SSM) is widely used in biology and medicine as a new generation of morphometric approaches for the quantitative analysis of anatomical shapes. Technological advancements of in vivo imaging have led to the…

In this paper we discuss various connections between geometric discrepancy measures, such as discrepancy with respect to convex sets (and convex sets with smooth boundary in particular), and applications to numerical analysis and…

Numerical Analysis · Mathematics 2013-11-18 Josef Dick

The success and generalisation of deep learning algorithms heavily depend on learning good feature representations. In medical imaging this entails representing anatomical information, as well as properties related to the specific imaging…

Computer Vision and Pattern Recognition · Computer Science 2020-04-21 Agisilaos Chartsias , Thomas Joyce , Giorgos Papanastasiou , Scott Semple , Michelle Williams , David Newby , Rohan Dharmakumar , Sotirios A. Tsaftaris

Typically, a medical image offers spatial information on the anatomy (and pathology) modulated by imaging specific characteristics. Many imaging modalities including Magnetic Resonance Imaging (MRI) and Computed Tomography (CT) can be…

Computer Vision and Pattern Recognition · Computer Science 2020-04-21 Agisilaos Chartsias , Thomas Joyce , Giorgos Papanastasiou , Michelle Williams , David Newby , Rohan Dharmakumar , Sotirios A. Tsaftaris
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