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Mathematical Handbook for Scientists and Engineers
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The article was published on 1961-11-01 and is currently open access. It has received 1030 citations till now.read more
Citations
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Journal ArticleDOI
Closed-form solution of absolute orientation using unit quaternions
TL;DR: A closed-form solution to the least-squares problem for three or more paints is presented, simplified by use of unit quaternions to represent rotation.
Journal ArticleDOI
A pyramid approach to subpixel registration based on intensity
TL;DR: An automatic subpixel registration algorithm that minimizes the mean square intensity difference between a reference and a test data set, which can be either images (two-dimensional) or volumes (three-dimensional).
Book ChapterDOI
Theory of the backpropagation neural network
TL;DR: A speculative neurophysiological model illustrating how the backpropagation neural network architecture might plausibly be implemented in the mammalian brain for corticocortical learning between nearby regions of the cerebral cortex is presented.
Journal ArticleDOI
Kinetics of water loss from cells at subzero temperatures and the likelihood of intracellular freezing.
TL;DR: The present study derives a quantitative relation between the amount of water in a cell and temperature using a differential equation involving cooling rate, surface-volume ratio, membrane permeability to water, and the temperature coefficient of the permeability constant.
Journal ArticleDOI
NIRS-SPM: statistical parametric mapping for near-infrared spectroscopy.
TL;DR: A new public domain statistical toolbox known as NirS-SPM is described, which enables the quantitative analysis of NIRS signal and enables the calculation of activation maps of oxy-, deoxy-hemoglobin and total hemoglobin, and allows for the super-resolution localization, which is not possible using conventional analysis tools.
References
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Journal ArticleDOI
Closed-form solution of absolute orientation using unit quaternions
TL;DR: A closed-form solution to the least-squares problem for three or more paints is presented, simplified by use of unit quaternions to represent rotation.
Journal ArticleDOI
A pyramid approach to subpixel registration based on intensity
TL;DR: An automatic subpixel registration algorithm that minimizes the mean square intensity difference between a reference and a test data set, which can be either images (two-dimensional) or volumes (three-dimensional).
Book ChapterDOI
Theory of the backpropagation neural network
TL;DR: A speculative neurophysiological model illustrating how the backpropagation neural network architecture might plausibly be implemented in the mammalian brain for corticocortical learning between nearby regions of the cerebral cortex is presented.
Journal ArticleDOI
Closed-form solution of absolute orientation using orthonormal matrices
TL;DR: In this paper, a closed-form solution to the least square problem for three or more points is presented, which requires the computation of the square root of a symmetric matrix, and the best scale is equal to the ratio of the root-mean-square deviations of the coordinates in the two systems from their respective centroids.
Journal ArticleDOI
Kinetics of water loss from cells at subzero temperatures and the likelihood of intracellular freezing.
TL;DR: The present study derives a quantitative relation between the amount of water in a cell and temperature using a differential equation involving cooling rate, surface-volume ratio, membrane permeability to water, and the temperature coefficient of the permeability constant.