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Precessional Dynamics of Octahedra in CsPbBr<sub>3</sub>. [PDF]

open access: yesJ Chem Theory Comput
Farigliano LM   +3 more
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Wavelets in polar coordinates

1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings, 2002
The problems encountered in the development and implementation of two-dimensional orthonormal wavelet bases and their filter banks in polar coordinates are addressed. These wavelets and filter banks have possible applications in processing signals that are collected by sensors working in the polar coordinate system, such as biomedical and radar ...
Oleg Andric   +2 more
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Constrained contouring in polar coordinates

Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, 2002
A constrained contour is an outline of a region of interest, obtained by linking the possible edge points under the constraints of connectivity, smoothness, image context, and an externally specified approximate contour. A constrained contouring algorithm in polar coordinates that traces closed contours using their rough approximations is discussed.
Shriram V. Revankar, David B. Sher
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A Spectral Method for Polar Coordinates

Journal of Computational Physics, 1995
A set of polynomial functions that can be used in spectral expansions of \(C^\infty\) functions in polar coordinates is defined by a singular Sturm-Liouville equation. With these basis functions, the spectral representations remain analytic at the pole despite the coordinate singularity, as all azimuthal modes satisfy the pole condition exactly at the ...
Matsushima, T., Marcus, P. S.
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Generating rectangular coordinates in polar coordinate order

IEEE Signal Processing Magazine, 2005
This paper proposes a means by which 2D data represented using the rectangular coordinate system can be converted to its equivalent in the polar coordinate system. Taking note that the order in which data becomes available with a polar coordinate measuring device is most unnatural from the point of view of a rectangular coordinate system, this paper ...
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Three-Dimensional Polar Coordinates

American Journal of Physics, 1964
It is shown that conventional plane-polar coordinates can be extended to three dimensions. The result is that three-dimensional motion of a particle can be viewed as instantaneous planar motion plus a rotation of the plane of motion around the instantaneous radius vector from the origin to the particle.
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Simpler rules for epimorphic regeneration: The polar-coordinate model without polar coordinates

Journal of Theoretical Biology, 1981
Abstract The polar-coordinate model of French, Bryant & Bryant (1976) describes epimorphic regeneration in insects and amphibians, and correctly predicts some surprising phenomena. Their model rests on two main rules. It is shown here that the first of these, the Rule of Intercalation, expresses a requirement that the pattern of positional values ...
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The Origin of Polar Coordinates

The American Mathematical Monthly, 1952
(1952). The Origin of Polar Coordinates. The American Mathematical Monthly: Vol. 59, No. 2, pp. 78-85.
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Walsh Series in Polar Coordinates

1987
Walsh functions Ψ0, Ψ1, … have many applications to information theory (see [3]), especially to problems of pattern recognition and image enhancement. The Walsh system shares many properties with other orthonormal systems but is distinguished by the fact that each Ψj is locally constant, takes on only the values ±1, and the intervals of constancy ...
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