A Robust Method for Rotation Estimation Using Spherical Harmonics Representation

Althloothi, Salah; Mahoor, Mohammad H.; Voyles, Richard M.

doi:10.1109/tip.2013.2249083

Cited by 18 publications

(11 citation statements)

References 25 publications

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“…To obtain accurate coordinates this and all following steps are performed on the unfiltered data. To determine the orientation, we use the technique described in the literature 64 . We describe the intensity distribution around the center of mass in terms of spherical harmonics.…”

Section: Methodsmentioning

confidence: 99%

Interplay between spherical confinement and particle shape on the self-assembly of rounded cubes

et al. 2018

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Self-assembly of nanoparticles (NPs) inside drying emulsion droplets provides a general strategy for hierarchical structuring of matter at different length scales. The local orientation of neighboring crystalline NPs can be crucial to optimize for instance the optical and electronic properties of the self-assembled superstructures. By integrating experiments and computer simulations, we demonstrate that the orientational correlations of cubic NPs inside drying emulsion droplets are significantly determined by their flat faces. We analyze the rich interplay of positional and orientational order as the particle shape changes from a sharp cube to a rounded cube. Sharp cubes strongly align to form simple-cubic superstructures whereas rounded cubes assemble into icosahedral clusters with additionally strong local orientational correlations. This demonstrates that the interplay between packing, confinement and shape can be utilized to develop new materials with novel properties.

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Section: Methodsmentioning

confidence: 99%

Interplay between spherical confinement and particle shape on the self-assembly of rounded cubes

et al. 2018

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“…If |F 1 (u) | and |F 2 (u)| are transformed into polar coordinates, the rotation over the angle θ is reduced to a (circular) shift over θ. It can compute the Fourier transform of the spectra |F 1 (u)| and |F 2 (u)|, and compute θ as the phase shift between the two [19,20].…”

Section: Rotation Estimationmentioning

confidence: 99%

“…Two types of data are used Spot-5 and Egyptsat-1. In Spot-5 the displacement values in the horizontal and vertical direction are defined in the SPOT-5 mission [4,20]. The second type Egyptsat-1 in which the displacements are to be measured…”

Section: Materials 41 Data Setsmentioning

confidence: 99%

A Proposed Method to Measure Sub Pixel Shift in Egyptsat-1 Aliased Images

Mohamed¹,

Helmy²,

Fkirin³

et al. 2014

IJCA

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This paper presents a method for image-based shift measurement and investigates solution for the mismatched bands of egyptsat-1 satellite. A tiny error in measuring sub pixel shift leads to an incorrect image focusing. Different methods, using frequency approach are conducted with different Tukey window sizes for measuring the sub pixel shift. The present method use an aim to select most important frequency for three parameter; horizontal, vertical and rotation with different window size. To test the present method; we used the SPOT-5 satellite data with known displacement. The obtained results are acceptable, and might solve Egyptsat-1 problem of mismatches between its bands. Bands 1, 2 could also be used in super resolution reconstruction methods

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“…That is, the input samples are defined on the R 3 grid, also called the volume data, used widely in medical imaging. Most angle estimation algorithms with the spherical harmonics work on the surface input data [1,6,7], where the data is parametrized in terms of the polar angle θ and the azimuthal angle ϕ. The surface information describes the general outline of the object in 2D but the full energy distribution of the object in 3D is not included.…”

Section: Relation To Prior Workmentioning

confidence: 99%

3D rotation estimation using discrete spherical harmonic oscillator transforms

Pei

Liu

2014

2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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This paper presents an approach to 3D rotation estimation using discrete spherical harmonic oscillator transforms (discrete SHOTs). Discrete SHOTs not only have simple and fast implementation methods but also are compatible with the existing angle estimation algorithms related to spherical harmonics. Discrete SHOTs of the rotated signal follow the same formulation to the Wigner-D matrix as spherical harmonics transforms. Thus, the spherical harmonics related algorithms could be utilized to discrete SHOTs without modification. Furthermore, compared to some existing methods, our approach with discrete SHOTs exhibits higher accuracy, higher precision and improved robustness to noise if the input signal is sampled uniformly on Cartesian grids. The phenomenon results from no interpolations in discrete SHOTs.

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A Robust Method for Rotation Estimation Using Spherical Harmonics Representation

Cited by 18 publications

References 25 publications

Interplay between spherical confinement and particle shape on the self-assembly of rounded cubes

Interplay between spherical confinement and particle shape on the self-assembly of rounded cubes

A Proposed Method to Measure Sub Pixel Shift in Egyptsat-1 Aliased Images

3D rotation estimation using discrete spherical harmonic oscillator transforms

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