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Statistical shape analysis is a very useful tool in a wide range of medical and biological applications. However, it typically relies on the ability to produce a relatively small number of features that can capture the relevant variability…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Riddhish Bhalodia , Ladislav Kavan , Ross Whitaker

A significant problem with most functional data analyses is that of misaligned curves. Without adjustment, even an analysis as simple as estimation of the mean will fail. One common method to synchronize a set of curves involves equating…

Applications · Statistics 2007-12-18 Gareth M. James

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 advent of high resolution imaging has made data on surface shape widespread. Methods for the analysis of shape based on landmarks are well established but high resolution data require a functional approach. The starting point is a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-20 Stanislav Katina , Liberty Vittert , Adrian W. Bowman

Highly automated driving functions currently often rely on a-priori knowledge from maps for planning and prediction in complex scenarios like cities. This makes map-relative localization an essential skill. In this paper, we address the…

Robotics · Computer Science 2021-04-30 Stefan Jürgens , Niklas Koch , Marc-Michael Meinecke

In this paper, we propose a fast and accurate coordinate regression method for face alignment. Unlike most existing facial landmark regression methods which usually employ fully connected layers to convert feature maps into landmark…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Beier Zhu , Chunze Lin , Quan Wang , Renjie Liao , Chen Qian

In this paper, we argue that the problem of registering two sets of functional data, where the underlying mean function has sharp features, is not properly addressed by methods designed to align a bunch of growth curves data. We provide a…

Methodology · Statistics 2017-12-19 Dibyendu Bhaumik , Radhendushka Srivastava , Debasis Sengupta

A reliable Ultrasound (US)-to-US registration method to compensate for brain shift would substantially improve Image-Guided Neurological Surgery. Developing such a registration method is very challenging, due to factors such as missing…

We propose a principled approach for non-isometric landmark-preserving non-rigid shape matching. Our method is based on the functional maps framework, but rather than promoting isometries we focus instead on near-conformal maps that…

Computer Vision and Pattern Recognition · Computer Science 2022-06-23 Mikhail Panine , Maxime Kirgo , Maks Ovsjanikov

We introduce a novel geometric framework for separating the phase and the amplitude variability in functional data of the type frequently studied in growth curve analysis. This framework uses the Fisher-Rao Riemannian metric to derive a…

Statistics Theory · Mathematics 2015-03-19 Anuj Srivastava , Wei Wu , Sebastian Kurtek , Eric Klassen , J. S. Marron

We present two techniques to improve landmark localization in images from partially annotated datasets. Our primary goal is to leverage the common situation where precise landmark locations are only provided for a small data subset, but…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Sina Honari , Pavlo Molchanov , Stephen Tyree , Pascal Vincent , Christopher Pal , Jan Kautz

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

Vision based localization is a popular approach to carry out manoeuvres particularly in GPS-restricted indoor environments, because vision can complement other activities performed by the robot. The objective is to estimate the current…

Systems and Control · Electrical Eng. & Systems 2019-12-09 Prashant V. Patil , Pranav Thakkar , Leena Vachhani

We consider the visual feature selection to improve the estimation quality required for the accurate navigation of a robot. We build upon a key property that asserts: contributions of trackable features (landmarks) appear linearly in the…

Robotics · Computer Science 2019-02-05 Hossein K. Mousavi , Nader Motee

A Point Distribution Model (PDM) is the basis of a Statistical Shape Model (SSM) that relies on a set of landmark points to represent a shape and characterize the shape variation. In this work, we present a self-supervised approach to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-10 Chun-Hung Chao , Marc Niethammer

The problem of finding a time-dependent vector field which warps an initial set of points to a target set is common in shape analysis. It is an example of a problem in the diffeomorphic shape matching regime, and can be thought of as a…

Optimization and Control · Mathematics 2025-08-12 Erik Jansson , Klas Modin

We study landmark-based SLAM with unknown data association: our robot navigates in a completely unknown environment and has to simultaneously reason over its own trajectory, the positions of an unknown number of landmarks in the…

Robotics · Computer Science 2023-05-05 Yihao Zhang , Odin A. Severinsen , John J. Leonard , Luca Carlone , Kasra Khosoussi

Functional data registration is a critical challenge in modern statistics, essential for separating phase variability from amplitude variability. While derivative-based frameworks offer mathematically elegant solutions, their dependence on…

Computation · Statistics 2026-04-15 Wei Wu

In image registration, a proper transformation should be topology preserving. Especially for landmark-based image registration, if the displacement of one landmark is larger enough than those of neighbourhood landmarks, topology violation…

Numerical Analysis · Mathematics 2014-10-14 R. Cavoretto , A. De Rossi , H. Qiao , B. Quatember , W. Recheis , M. Mayr

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
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