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We propose a general, prior-free approach for the uncalibrated non-rigid structure-from-motion problem for modelling and analysis of non-rigid objects such as human faces. The word general refers to an approach that recovers the non-rigid…

Computer Vision and Pattern Recognition · Computer Science 2018-11-26 Sami Sebastian Brandt , Hanno Ackermann , Stella Grasshof

Non-Rigid Structure-from-Motion (NRSfM) problem aims to recover 3D geometry of a deforming object from its 2D feature correspondences across multiple frames. Classical approaches to this problem assume a small number of feature points and,…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Suryansh Kumar , Luc Van Gool , Carlos E. P. de Oliveira , Anoop Cherian , Yuchao Dai , Hongdong Li

This paper is a theoretical study of the following Non-Rigid Structure from Motion problem. What can be computed from a monocular view of a parametrically deforming set of points? We treat various variations of this problem for affine and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-10 Yirmeyahu Kaminski , Michael Werman

Even though Non-rigid Structure-from-Motion (NRSfM) has been extensively studied and great progress has been made, there are still key challenges that hinder their broad real-world applications: 1) the inherent motion/rotation ambiguity…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Jiawei Shi , Hui Deng , Yuchao Dai

Semi-Definite Programming (SDP) with low-rank prior has been widely applied in Non-Rigid Structure from Motion (NRSfM). Based on a low-rank constraint, it avoids the inherent ambiguity of basis number selection in conventional base-shape or…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Jingwei Song , Mitesh Patel , Ashkan Jasour , Maani Ghaffari

This paper proposes a new method for Non-Rigid Structure-from-Motion (NRSfM) from a long monocular video sequence observing a non-rigid object performing recurrent and possibly repetitive dynamic action. Departing from the traditional idea…

Computer Vision and Pattern Recognition · Computer Science 2018-04-19 Xiu Li , Hongdong Li , Hanbyul Joo , Yebin Liu , Yaser Sheikh

Many objects, especially these made by humans, are symmetric, e.g. cars and aeroplanes. This paper addresses the estimation of 3D structures of symmetric objects from multiple images of the same object category, e.g. different cars, seen…

Computer Vision and Pattern Recognition · Computer Science 2016-09-23 Yuan Gao , Alan Yuille

A primary interest in dynamic inverse problems is to identify the underlying temporal behaviour of the system from outside measurements. In this work we consider the case, where the target can be represented by a decomposition of spatial…

Numerical Analysis · Mathematics 2020-06-09 Simon Arridge , Pascal Fernsel , Andreas Hauptmann

Non-rigid structure-from-motion (NRSfM), a promising technique for addressing the mapping challenges in monocular visual deformable simultaneous localization and mapping (SLAM), has attracted growing attention. We introduce a novel method,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-03 Yongbo Chen , Yanhao Zhang , Shaifali Parashar , Liang Zhao , Shoudong Huang

Rigid structure-from-motion (RSfM) and non-rigid structure-from-motion (NRSfM) have long been treated in the literature as separate (different) problems. Inspired by a previous work which solved directly for 3D scene structure by factoring…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Pan Ji , Hongdong Li , Yuchao Dai , Ian Reid

We consider the problem of reconstructing a 3-D scene from a moving camera with high frame rate using the affine projection model. This problem is traditionally known as Affine Structure from Motion (Affine SfM), and can be solved using an…

Computer Vision and Pattern Recognition · Computer Science 2016-08-10 Roberto Tron

Structure from motion is an import theme in computer vision. Although great progress has been made both in theory and applications, most of the algorithms only work for static scenes and rigid objects. In recent years, structure and motion…

Computer Vision and Pattern Recognition · Computer Science 2017-01-02 Guanghui Wang

A simple prior free factorization algorithm \cite{dai2014simple} is quite often cited work in the field of Non-Rigid Structure from Motion (NRSfM). The benefit of this work lies in its simplicity of implementation, strong theoretical…

Computer Vision and Pattern Recognition · Computer Science 2019-12-24 Suryansh Kumar

In this work we present a novel approach for computing correspondences between non-rigid objects, by exploiting a reduced representation of deformation fields. Different from existing works that represent deformation fields by training a…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Ramana Sundararaman , Riccardo Marin , Emanuele Rodola , Maks Ovsjanikov

Non-rigid 3D registration, which deforms a source 3D shape in a non-rigid way to align with a target 3D shape, is a classical problem in computer vision. Such problems can be challenging because of imperfect data (noise, outliers and…

Computer Vision and Pattern Recognition · Computer Science 2023-02-21 Yuxin Yao , Bailin Deng , Weiwei Xu , Juyong Zhang

We present a novel non-rigid reconstruction method using a moving RGB-D camera. Current approaches use only non-rigid part of the scene and completely ignore the rigid background. Non-rigid parts often lack sufficient geometric and…

Computer Vision and Pattern Recognition · Computer Science 2018-05-31 Shafeeq Elanattil , Peyman Moghadam , Sridha Sridharan , Clinton Fookes , Mark Cox

A recent trend in Non-Rigid Structure-from-Motion (NRSfM) is to express local, differential constraints between pairs of images, from which the surface normal at any point can be obtained by solving a system of polynomial equations. The…

Computer Vision and Pattern Recognition · Computer Science 2021-07-14 Shaifali Parashar , Yuxuan Long , Mathieu Salzmann , Pascal Fua

Non-rigid registration computes an alignment between a source surface with a target surface in a non-rigid manner. In the past decade, with the advances in 3D sensing technologies that can measure time-varying surfaces, non-rigid…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Bailin Deng , Yuxin Yao , Roberto M. Dyke , Juyong Zhang

We rephrase the problem of 3D reconstruction from images in terms of intersections of projections of orbits of custom built Lie groups actions. We then use an algorithmic method based on moving frames "a la Fels-Olver" to obtain a…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Pierre-Louis Bazin , Mireille Boutin

We present Shape Non-rigid Kinematics (SNK), a novel zero-shot method for non-rigid shape matching that eliminates the need for extensive training or ground truth data. SNK operates on a single pair of shapes, and employs a…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Souhaib Attaiki , Maks Ovsjanikov
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