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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
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

A closed-form solution for options with stochastic volatility with applications to bond and currency options

by Steven L. Heston - Review of Financial Studies , 1993
"... I use a new technique to derive a closed-form solution for the price of a European call option on an asset with stochastic volatility. The model allows arbitrary correlation between volatility and spotasset returns. I introduce stochastic interest rates and show how to apply the model to bond option ..."
Abstract - Cited by 1512 (6 self) - Add to MetaCart
I use a new technique to derive a closed-form solution for the price of a European call option on an asset with stochastic volatility. The model allows arbitrary correlation between volatility and spotasset returns. I introduce stochastic interest rates and show how to apply the model to bond

Flexible camera calibration by viewing a plane from unknown orientations

by Zhengyou Zhang , 1999
"... We propose a flexible new technique to easily calibrate a camera. It only requires the camera to observe a planar pattern shown at a few (at least two) different orientations. Either the camera or the planar pattern can be freely moved. The motion need not be known. Radial lens distortion is modeled ..."
Abstract - Cited by 511 (7 self) - Add to MetaCart
is modeled. The proposed procedure consists of a closed-form solution, followed by a nonlinear refinement based on the maximum likelihood criterion. Both computer simulation and real data have been used to test the proposed technique, and very good results have been obtained. Compared with classical

Closed-Form Solutions for Physically Based Shape Modeling and Recognition

by Alex Pentland, Stai Sclaroff , 1991
"... We present a closed-form, physically based solution for recovering a 3-D solid model from collections of 3-D surface measurements. Given a sufficient number of independent mea-surements, the solution is overconstrained and unique except for rotational symmetries. We then present a physically based ..."
Abstract - Cited by 185 (10 self) - Add to MetaCart
We present a closed-form, physically based solution for recovering a 3-D solid model from collections of 3-D surface measurements. Given a sufficient number of independent mea-surements, the solution is overconstrained and unique except for rotational symmetries. We then present a physically based

Zero-forcing methods for downlink spatial multiplexing in multiuser MIMO channels

by Quentin H. Spencer, A. Lee Swindlehurst, Martin Haardt - IEEE TRANS. SIGNAL PROCESSING , 2004
"... The use of space-division multiple access (SDMA) in the downlink of a multiuser multiple-input, multiple-output (MIMO) wireless communications network can provide a substantial gain in system throughput. The challenge in such multiuser systems is designing transmit vectors while considering the co-c ..."
Abstract - Cited by 371 (29 self) - Add to MetaCart
of these problems possess closed-form solutions for the general multiuser MIMO channel, but the imposition of certain constraints can lead to closed-form solutions. This paper presents two such constrained solutions. The first, referred to as “block-diagonalization,” is a generalization of channel inversion when

A Closed-Form Solution to Natural Image Matting

by Anat Levin, Dani Lischinski, Yair Weiss - IEEE TRANS. PAMI , 2008
"... Interactive digital matting, the process of extracting a foreground object from an image based on limited user input, is an important task in image and video editing. From a computer vision perspective, this task is extremely challenging because it is massively ill-posed—at each pixel we must estim ..."
Abstract - Cited by 136 (2 self) - Add to MetaCart
, or perform iterative nonlinear estimation by alternating foreground and background color estimation with alpha estimation. In this paper, we present a closed-form solution to natural image matting. We derive a cost function from local smoothness assumptions on foreground and background colors and show

Closed-form

by Javier Peña, Juan C. Vera, Luis F. Zuluaga , 2008
"... solutions to static-arbitrage upper bounds on basket options ..."
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solutions to static-arbitrage upper bounds on basket options

Closed-form

by unknown authors
"... thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells ..."
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thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells

Closed-form

by unknown authors
"... thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells ..."
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thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells

Closed-form shock solutions

by B. M. Johnson , 2014
"... iv ..."
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Abstract not found
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