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We present a novel algorithm for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. The motivation comes from the problem of establishing a…

Algebraic Geometry · Mathematics 2019-03-12 Joseph M. Burdis , Irina A. Kogan , Hoon Hong

This paper presents a simple algebraic method to estimate the pose of a camera relative to a planar target from $n \geq 4$ reference points with known coordinates in the target frame and their corresponding bearing measurements in the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Tarek Bouazza , Tarek Hamel , Claude Samson

This paper presents a structure-preserving model reduction framework for linear systems, in which the $\mathcal{H}_2$ optimization is incorporated with the Petrov-Galerkin projection to preserve structural features of interest, including…

Optimization and Control · Mathematics 2023-02-20 Xiaodong Cheng

Perspective distortion (PD) causes unprecedented changes in shape, size, orientation, angles, and other spatial relationships of visual concepts in images. Precisely estimating camera intrinsic and extrinsic parameters is a challenging task…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Prakash Chandra Chhipa , Meenakshi Subhash Chippa , Kanjar De , Rajkumar Saini , Marcus Liwicki , Mubarak Shah

The present work demonstrates a fast and improved technique for dewarping nonlinearly warped document images. The images are first dewarped at the page-level by estimating optimum inverse projections using curvilinear homography. The…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Tanmoy Dasgupta , Nibaran Das , Mita Nasipuri

Speed-of-sound is a biomechanical property for quantitative tissue differentiation, with great potential as a new ultrasound-based image modality. A conventional ultrasound array transducer can be used together with an acoustic mirror, or…

Computer Vision and Pattern Recognition · Computer Science 2018-07-20 Valery Vishnevskiy , Sergio J Sanabria , Orcun Goksel

We describe a data structure, a rectangular complex, that can be used to represent hyperconvex metric spaces that have the same topology (although not necessarily the same distance function) as subsets of the plane. We show how to use this…

Computational Geometry · Computer Science 2016-08-12 David Eppstein

Objects with symmetries are common in our daily life and in industrial contexts, but are often ignored in the recent literature on 6D pose estimation from images. In this paper, we study in an analytical way the link between the symmetries…

Computer Vision and Pattern Recognition · Computer Science 2019-08-22 Giorgia Pitteri , Michaël Ramamonjisoa , Slobodan Ilic , Vincent Lepetit

Distortion identification and rectification in images and videos is vital for achieving good performance in downstream vision applications. Instead of relying on fixed trial-and-error based image processing pipelines, we propose a two-level…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Aditya Kapoor , Harshad Khadilkar , Jayvardhana Gubbi

We present a novel approach to align partial 3D reconstructions which may not have substantial overlap. Using floorplan priors, our method jointly predicts a room layout and estimates the transformations from a set of partial 3D data.…

Computer Vision and Pattern Recognition · Computer Science 2019-12-04 Cheng Lin , Changjian Li , Wenping Wang

Indoor panorama typically consists of human-made structures parallel or perpendicular to gravity. We leverage this phenomenon to approximate the scene in a 360-degree image with (H)orizontal-planes and (V)ertical-planes. To this end, we…

Computer Vision and Pattern Recognition · Computer Science 2021-09-10 Cheng Sun , Chi-Wei Hsiao , Ning-Hsu Wang , Min Sun , Hwann-Tzong Chen

We introduce visual deprojection: the task of recovering an image or video that has been collapsed along a dimension. Projections arise in various contexts, such as long-exposure photography, where a dynamic scene is collapsed in time to…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Guha Balakrishnan , Adrian V. Dalca , Amy Zhao , John V. Guttag , Fredo Durand , William T. Freeman

We have developed a real-space method to correct distortion due to thermal drift and piezoelectric actuator nonlinearities on scanning tunneling microscope images using Matlab. The method uses the known structures typically present in…

Instrumentation and Detectors · Physics 2017-02-03 Mitchell P. Yothers , Aaron E. Browder , Lloyd A. Bumm

We provide criteria for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. These criteria reduce the projection problem to a certain…

Computer Vision and Pattern Recognition · Computer Science 2015-03-14 Joseph M. Burdis , Irina A. Kogan

Rotation estimation plays a fundamental role in many computer vision and robot tasks. However, efficiently estimating rotation in large inputs containing numerous outliers (i.e., mismatches) and noise is a recognized challenge. Many robust…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Taosi Xu , Yinlong Liu , Xianbo Wang , Zhi-Xin Yang

We propose a novel method for estimating the global rotations of the cameras independently of their positions and the scene structure. When two calibrated cameras observe five or more of the same points, their relative rotation can be…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Seong Hun Lee , Javier Civera

In this paper, we present a multi-object 6D detection and tracking pipeline for potentially similar and non-textured objects. The combination of a convolutional neural network for object classification and rough pose estimation with a local…

Computer Vision and Pattern Recognition · Computer Science 2022-03-02 Niklas Gard , Anna Hilsmann , Peter Eisert

$3$D structure recovery from a collection of $2$D images requires the estimation of the camera locations and orientations, i.e. the camera motion. For large, irregular collections of images, existing methods for the location estimation…

Computer Vision and Pattern Recognition · Computer Science 2015-06-05 Onur Ozyesil , Amit Singer

We propose a new technique for estimating spatially varying parametric materials from a single image of an object with unknown shape in unknown illumination. Our method uses a low-order parametric reflectance model, and incorporates strong…

Graphics · Computer Science 2019-12-30 Kevin Karsch , David Forsyth

This paper presents a novel technique for progressive online integration of uncalibrated image sequences with substantial geometric and/or photometric discrepancies into a single, geometrically and photometrically consistent image. Our…

Graphics · Computer Science 2019-09-11 Markus Kluge , Tim Weyrich , Andreas Kolb