Abstract
A modal wavelet transform, which overcomes the intrinsic data number limitation of power of two to conventional wavelet transform, has been applied to analysis of axial and eddy pseudo velocity fields, standard PIV velocity field and experimental PIV measurement. The modal wavelet transform is compared with the discrete wavelet transform in order to select the optimum basis function among Neumann, Dirichlet and Green function types basis functions. Consequently, it is verified that Neumann type function is the best basis because the correlation of Neumann type basis function is higher and the root mean square is lower than the other basis functions. Also, the decomposition vector patterns by Neumann type are similar to that by conventional Daubechies basis function of 4th order.
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Kenji Tanaka: He received his Bachelor degree in Mechanical Engineering in 1986 from Nihon University, Tokyo Japan. He also received his M.Sc.(Eng.) degree in Mechanical Engineering in 1995 from Nihon University. He has worked for Okamoto Industries, INC. since 1986. His current position is a manager of cooperate administration. His research interests are Pneumatic conveying and PIV.
Masahiro Takei: He received his M.Sc.(Eng) in Resource Engineering in 1991 from Waseda University, Tokyo Japan. He also received his Ph.D. in Resource Engineering in 1995 from Waseda University. He has worked in Department of Mechanical Engineering, Nihon University, Tokyo Japan as an associate professor since 1995. His research interests are Computed tomography, Multiphase flow, Image processing and PIV.
Yoshifuru Saito: He received his Master of engineering degree in Mechanical Engineering in 1975 from Hosei University. He is currently a Professor at Faculty of Engineering, Houei University. His current research interests are quantitative Computational Electromagnetics, Computational Inverse Analysis, Smart Visualized Information Processing, Power Electronics Power Magnetics, Micro Machines and Computational Literature.
Deog Hee Doh: He received B.A. at Korea Maritime University (KMU) (1985). He finished his M.Sc. degree at the graduate school of KMU(1988). He received his PhD. degree at the Department of Mechanical Engineering of the University of Tokyo, Japan in 1995. His graduate works is on the development of 3D-PTV and simultaneous measurement techniques on temperature and velocity fields for thermal flows. He worked as an invited researcher for the Advanced Fluid Engineering Research Center (AFERC) in 1995. He has been working for Korea Maritime University since 1995 at the Division of Mechanical and Information Engineering. His research interests are to develop spatial measurement techniques such as 3D-PIVs, 3D-PTVs, micro-/nano-4D-PTVs for nano-/bio- thermal flows.
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Tanaka, K., Takei, M., Saito, Y. et al. Application of modal wavelets to PIV measurements by selecting basis function. J Vis 9, 445–455 (2006). https://doi.org/10.1007/BF03181784
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DOI: https://doi.org/10.1007/BF03181784