DocumentCode :
177686
Title :
3D rotation estimation using discrete spherical harmonic oscillator transforms
Author :
Soo-Chang Pei ; Chun-Lin Liu
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
fYear :
2014
fDate :
4-9 May 2014
Firstpage :
774
Lastpage :
778
Abstract :
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.
Keywords :
discrete transforms; estimation theory; harmonic oscillators; signal processing; 3D rotation estimation; Cartesian grids; Wigner-D matrix; angle estimation; discrete SHOT; discrete spherical harmonic oscillator transforms; input signal; rotated signal; Accuracy; Estimation; Harmonic analysis; Interpolation; Oscillators; Three-dimensional displays; Transforms; Discrete spherical harmonic oscillator transforms; Euler angles; rotation estimation; spherical harmonic transforms; volume data;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Acoustics, Speech and Signal Processing (ICASSP), 2014 IEEE International Conference on
Conference_Location :
Florence
Type :
conf
DOI :
10.1109/ICASSP.2014.6853701
Filename :
6853701
Link To Document :
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