Open Access
Grouping and Structure Recovery for Images of Objects with Finite Rotational Symmetry
TLDR
In this article, it was shown that 3D objects with discrete rotational symmetry induce geometric relations in the image, which can be used to group features arising from the object and to reconstruct the 3D structure of the object.Abstract:
It is shown that 3D objects with discrete rotational symmetry induce geometric relations in the image. Symmetry related points on the object are imaged to points which satisfy these image geometric relations. These relations are unaffected by camera calibration (interior orientation) and object pose. The relations can be utilised to group features in the image arising from the object. Furthermore, 3D structure of the object can be recovered from a single image up to a specified ambiguity. The paper illustrates these mechanisms on real image examples.read more
Citations
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Book ChapterDOI
Detecting symmetry and symmetric constellations of features
Gareth Loy,Jan-Olof Eklundh +1 more
TL;DR: It is shown how symmetric pairs of features can be efficiently detected, how the symmetry bonding each pair is extracted and evaluated, and how these can be grouped into symmetric constellations that specify the dominant symmetries present in the image.
BookDOI
Shape, Contour and Grouping in Computer Vision
TL;DR: An Empirical-Statistical Agenda for Recognition and a Cooperating Strategy for Objects Recognition are presented.
Journal ArticleDOI
Algebraic Projective Geometry. By J. G. Semple and G. T. Kneebone. Pp. viii, 404. 35s. 1952. (Oxford University Press)
TL;DR: In this article, the origin and development of GEOMETRICAL KNOWLEDGE is discussed. And the authors present a projective geometerry approach to the problem.
Proceedings ArticleDOI
Symmetry based 3D reconstruction of repeated cylinders
TL;DR: The combination of 360°-rotational symmetry and camera center is used to identify two orthogonal planes called axis plane and Orthogonal axis plane, which are the basis for the proposed reconstruction framework and virtual camera configuration.
Proceedings ArticleDOI
Detection of symmetric features in images
TL;DR: In this paper a basic concept of a mirror and rotational symmetry is introduced and several implementation aspects are discussed and symmetry detection process is transparently compared to the selected standard approach and results are demonstrated on theRotational symmetry task.
References
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Book ChapterDOI
Camera Self-Calibration: Theory and Experiments
TL;DR: It is shown, using experiments with noisy data, that it is possible to calibrate a camera just by pointing it at the environment, selecting points of interest and then tracking them in the image as the camera moves.
Book ChapterDOI
What can be seen in three dimensions with an uncalibrated stereo rig
TL;DR: This paper addresses the problem of determining the kind of three- dimensional reconstructions that can be obtained from a binocular stereo rig for which no three-dimensional metric calibration data is available, and shows that even in this case some very rich non-metric reconstructions of the environment can nonetheless be obtained.
Book
Geometric invariance in computer vision
Joseph L. Mundy,Andrew Zisserman +1 more
TL;DR: In this paper, Abhyankar et al. proposed a geometric interpretation of joint conic invariants, and presented an experimental evaluation of projective invariants for curves in two and three dimensions.
Book
Algebraic projective geometry
TL;DR: This chapter discusses the origins and development of chemical knowledge, and the role of atoms and molecules in the development of knowledge.
Proceedings ArticleDOI
Stereo from uncalibrated cameras
TL;DR: The problem of computing placement of points in 3-D space, given two uncalibrated perspective views, is considered and it is possible to determine projective invariants of3-D geometric configurations from two perspective views.
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