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Closed-form solution of absolute orientation using unit quaternions

by Berthold K. P. Horn - J. Opt. Soc. Am. A , 1987
"... Finding the relationship between two coordinate systems using pairs of measurements of the coordinates of a number of points in both systems is a classic photogrammetric task. It finds applications in stereophotogrammetry and in robotics. I present here a closed-form solution to the least-squares pr ..."
Abstract - Cited by 989 (4 self) - Add to MetaCart
-squares problem for three or more points. Currently various empirical, graphical, and numerical iterative methods are in use. Derivation of the solution is simplified by use of unit quaternions to represent rotation. I emphasize a symmetry property that a solution to this problem ought to possess. The best

Robust wide baseline stereo from maximally stable extremal regions

by J. Matas, O. Chum, M. Urban, T. Pajdla - In Proc. BMVC , 2002
"... The wide-baseline stereo problem, i.e. the problem of establishing correspon-dences between a pair of images taken from different viewpoints is studied. A new set of image elements that are put into correspondence, the so called extremal regions, is introduced. Extremal regions possess highly de-sir ..."
Abstract - Cited by 1016 (35 self) - Add to MetaCart
. Significant change of scale (3.5×), illumi-nation conditions, out-of-plane rotation, occlusion, locally anisotropic scale change and 3D translation of the viewpoint are all present in the test prob-lems. Good estimates of epipolar geometry (average distance from corre-sponding points to the epipolar line

Shiftable Multi-scale Transforms

by Eero Simoncelli, William T. Freeman, Edward H. Adelson, David J. Heeger , 1992
"... Orthogonal wavelet transforms have recently become a popular representation for multiscale signal and image analysis. One of the major drawbacks of these representations is their lack of translation invariance: the content of wavelet subbands is unstable under translations of the input signal. Wavel ..."
Abstract - Cited by 562 (36 self) - Add to MetaCart
. Wavelet transforms are also unstable with respect to dilations of the input signal, and in two dimensions, rotations of the input signal. We formalize these problems by defining a type of translation invariance that we call "shiftability". In the spatial domain, shiftability corresponds to a

Comparing Images Using the Hausdorff Distance

by Daniel P. Huttenlocher, Gregory A. Klanderman, William J. Rucklidge - IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE , 1993
"... The Hausdorff distance measures the extent to which each point of a `model' set lies near some point of an `image' set and vice versa. Thus this distance can be used to determine the degree of resemblance between two objects that are superimposed on one another. In this paper we provide ef ..."
Abstract - Cited by 659 (10 self) - Add to MetaCart
(translation and rotation). The Hausdorff distance computation differs from many other shape comparison methods in that no correspondence between the model and the image is derived. The method is quite tolerant of small position errors as occur with edge detectors and other feature extraction methods. Moreover

A calculus of mobile processes, I

by Robin Milner, et al. , 1992
"... We present the a-calculus, a calculus of communicating systems in which one can naturally express processes which have changing structure. Not only may the component agents of a system be arbitrarily linked, but a communication between neighbours may carry information which changes that linkage. The ..."
Abstract - Cited by 1184 (31 self) - Add to MetaCart
, and computation is represented purely as the communication of names across links. After an illustrated description of how the n-calculus generalises conventional process algebras in treating mobility, several examples exploiting mobility are given in some detail. The important examples are the encoding into the n

Reliable Feature Matching Across Widely Separated Views

by Adam Baumberg , 2000
"... In this paper we present a robust method for automatically matching features in images corresponding to the same physical point on an object seen from two arbitrary viewpoints. Unlike conventional stereo matching approaches we assume no prior knowledge about the relative camera positions and orienta ..."
Abstract - Cited by 308 (0 self) - Add to MetaCart
In this paper we present a robust method for automatically matching features in images corresponding to the same physical point on an object seen from two arbitrary viewpoints. Unlike conventional stereo matching approaches we assume no prior knowledge about the relative camera positions

Mental rotation and orientation-dependence in shape recognition

by Michael J. Tarrandsteven Pinker - Cognitive Psychology , 1989
"... How do we recognize objects despite differences in their retinal projections when they are seen at different orientations? Marr and Nishihara (1978) proposed that shapes are represented in memory as structural descriptions in objectcentered coordinate systems, so that an object is represented identi ..."
Abstract - Cited by 212 (20 self) - Add to MetaCart
identically regardless of its orientation. An alternative hypothesis is that an object is represented in memory in a single representation corresponding to a canonical orientation, and a mental rotation operation transforms an input shape into that orientation before input and memory are compared. A third

Pose estimation from corresponding point data

by Robert M. Haralick, Fellow Ieee, Hyonam Joo, Chung-nan Lee, Xinhua Zhuang, Vinay G. Vaidya, Man, Bae Kim - IEEE Transactions on Systems, Man and Cybernetics , 1989
"... Abstracr--Solutions for four different pose estimation problems are presented. Closed form least-squares solutions are given to the over constrained ZD-ZD and 3-D-3-D pose estimation problems. A globally convergent iterative technique is given for the 2-D perspective projec-tion-3-D pose estimation ..."
Abstract - Cited by 199 (2 self) - Add to MetaCart
(SNR) with either Gaussian or uniform noise provide data suggesting that accurate inference of rota-tion and translation with noisy data may require corresponding point data sets having hundreds of corresponding point pairs when the SNR is less than 40 dB. The experiment results also show that robust

On the Adaptation of Arbitrary Normal Mutation Distributions in Evolution Strategies: The Generating Set Adaptation

by Nikolaus Hansen , Andreas Ostermeier, Andreas Gawelczyk , 1995
"... A new adaptation scheme for adapting arbitrary normal mutation distributions in evolution strategies is introduced. It can adapt correct scaling and correlations between object parameters. Furthermore, it is independent of any rotation of the objective function and reliably adapts mutation dis ..."
Abstract - Cited by 227 (31 self) - Add to MetaCart
A new adaptation scheme for adapting arbitrary normal mutation distributions in evolution strategies is introduced. It can adapt correct scaling and correlations between object parameters. Furthermore, it is independent of any rotation of the objective function and reliably adapts mutation

object image library (COIL-100

by Sameer A. Nene, Shree K. Nayar, Hiroshi Murase , 1996
"... Columbia Object Image Library (COIL-100) is a database of color images of 100 objects. The objects were placed on a motorized turntable against a black background. The turntable was rotated through 360 degrees to vary object pose with respect to a xed color camera. Images of the objects were taken a ..."
Abstract - Cited by 226 (2 self) - Add to MetaCart
Columbia Object Image Library (COIL-100) is a database of color images of 100 objects. The objects were placed on a motorized turntable against a black background. The turntable was rotated through 360 degrees to vary object pose with respect to a xed color camera. Images of the objects were taken
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