Discrete two dimensional Fourier transform in polar coordinates part II: numerical computation and approximation of the continuous transform [PDF]
PeerJ Computer Science, 2020 The theory of the continuous two-dimensional (2D) Fourier Transform in polar coordinates has been recently developed but no discrete counterpart exists to date.
Xueyang Yao, Natalie Baddour
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Quantum Representations and Scaling Up Algorithms of Adaptive Sampled-Data in Log-Polar Coordinates [PDF]
Entropy, 2021 In log-polar coordinates, the conventional data sampling method is to sample uniformly in the log-polar radius and polar angle directions, which makes the sample at the fovea of the data denser than that of the peripheral.
Chan Li, Dayong Lu, Hao Dong
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Galilean transformation in polar coordinates and Doppler effect
Results in Physics, 2021 First, the derivation of the Galilean transformation in polar coordinates from the Galilean transformation in Cartesian coordinates is presented.
Shukri Klinaku
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Electroencephalography Enables Continuous Decoding of Hand Motion Angles in Polar Coordinates [PDF]
Cyborg and Bionic SystemsHand movements in task space are typically represented using either Cartesian or polar coordinate systems. While Cartesian coordinates are commonly used in electroencephalography (EEG)-based brain–computer interface (BCI) studies, polar coordinates offer
Xiaohan Lu +6 more
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Non-commutativity in polar coordinates
European Physical Journal C: Particles and Fields, 2017 We reconsider the fundamental commutation relations for non-commutative $$\mathbb {R}^{2}$$ R 2 described in polar coordinates with non-commutativity parameter $$\theta $$ θ . Previous analysis found that the natural transition from Cartesian coordinates
James P. Edwards
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The Effect of GeoGebra on University Students’ Understanding of Polar Coordinates
Cogent Education, 2023 This study sought to examine the impact of dynamic mathematics software, GeoGebra, on university mathematics students’ understanding of polar coordinates. A quasi-experimental design with an equivalent group of 42 participants in each group was used.
Raphael Owusu +2 more
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Friction, 2020 The stiffness and dampness parameters of journal bearings are required in rectangular coordinates for analyzing the stability boundary and threshold speed of oil film bearings.
Zhuxin Tian, Yu Huang
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Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 The kinetic energy operator with position-dependent-mass in plane polar coordinates is obtained. The separability of the corresponding Schrödinger equation is discussed. A hypothetical toy model is reported and two exactly solvable examples are studied.
Omar Mustafa, S. Habib Mazharimousavi
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Discrete Two-Dimensional Fourier Transform in Polar Coordinates Part I: Theory and Operational Rules
Mathematics, 2019 The theory of the continuous two-dimensional (2D) Fourier transform in polar coordinates has been recently developed but no discrete counterpart exists to date.
Baddour Natalie, Natalie Baddour
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Polar coordinates in Taekwondo
Revista de Artes Marciales Asiáticas, 2016 [EN] In observational methodology, inter‐relational behaviors are relevant for coaches and athletes to know which behaviors are dependent or inexistent while others occur.
Cristina Menescardi +2 more
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