Closed-form solution of absolute orientation using orthonormal matrices
نویسندگان
چکیده
منابع مشابه
Closed-form solution of absolute orientation using orthonormal matrices
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. We present here a closed-form solution to the least-squares problem for three or more points. Currently, various empirical, graphical and numerical iterative ...
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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. We present here a closed-form solution to the least-squares problem for three or more points. Currently, various empirical, graphical and numerical iterative ...
متن کاملClosed-form solution of absolute orientation using unit quaternions
Received August 6,1986; accepted November 25,1986 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 problem for three or more points. Currently vario...
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The absolute orientation problem has applications in numerous fields; including robotics, pose estimation, photogrammetry, and computer graphics. With the exception of the contributions by B. K. P. Horn, most absolute orientation research has focused on rotation matrixes. However, in many cases, representing rotations as quaternions has significant advantages over the more traditional forms. Th...
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In this work, we introduce and analyze two new techniques for obtaining the Q factor in the QR factorization of some (or all) columns of a fundamental solution matrix Y of a linear diierential system. These techniques are based on elementary Householder and Givens transformations. We implement and compare these new techniques with existing approaches on some examples.
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ژورنال
عنوان ژورنال: Journal of the Optical Society of America A
سال: 1988
ISSN: 1084-7529,1520-8532
DOI: 10.1364/josaa.5.001127