Using the technique of integral within an ordered product (IWOP) of operators we show that the wavelet transform can be recasted to a matrix element of squeezing-displacing operator between the mother wavelet state ve...Using the technique of integral within an ordered product (IWOP) of operators we show that the wavelet transform can be recasted to a matrix element of squeezing-displacing operator between the mother wavelet state vector and the state vector to be transformed in the context of quantum mechanics. In this way many quantum optical states'wavelet transform can be easily derived.展开更多
A method of 2-D Fourier transform used in 3-D surface profilometry is proposed,analyzed and compared with 1-D Fourier transform method in theory and practical measuring result.It was proved that the 2-D Fourier transf...A method of 2-D Fourier transform used in 3-D surface profilometry is proposed,analyzed and compared with 1-D Fourier transform method in theory and practical measuring result.It was proved that the 2-D Fourier transform method has more advantages over 1-D Fourier transform method in biggest crook-rate limits,accuracy and sensitivity of measuring.Study on measuring object surface details with large crook-rate changing accurately used new higher-power index low-pass filter of spatial frequency domain.A new method of automatic produced reference grating image and error-correcting is proposed.One undeform row of deform grating image is used to extend a complete reference grating image,and some error-correcting method is used to process the result to get accurate surface shape and the deflection of reference surface normal line deviated from the axle of camera.By this new method,one deform rectangle grating image is only used to get the 3-D shape accurately.展开更多
In Order to reduce the noise in the images and the physical storage, the wavelet-based image compression technique was applied to PIV processing in this paper. To study the effect of the wavelet bases, the standard PI...In Order to reduce the noise in the images and the physical storage, the wavelet-based image compression technique was applied to PIV processing in this paper. To study the effect of the wavelet bases, the standard PIV images were compressed by some known wavelet families, Daubechies, Coifman and Baylkin families with various compression ratios. It was found that a higher order wavelet base provided good compression performance for compressing PIV images. The error analysis of velocity field obtained indicated that the high compression ratio, even up to 64.1, can be realized without losing significant flow information in PIV processing. The wavelet compression technique of PIV was applied to the experimental images of jet flow and showed excellent performance. A reduced number of erroneous vectors can be realized by varying compression ratio. It can say that the wavelet image compression technique is very effective in PIV system.展开更多
文摘Using the technique of integral within an ordered product (IWOP) of operators we show that the wavelet transform can be recasted to a matrix element of squeezing-displacing operator between the mother wavelet state vector and the state vector to be transformed in the context of quantum mechanics. In this way many quantum optical states'wavelet transform can be easily derived.
文摘A method of 2-D Fourier transform used in 3-D surface profilometry is proposed,analyzed and compared with 1-D Fourier transform method in theory and practical measuring result.It was proved that the 2-D Fourier transform method has more advantages over 1-D Fourier transform method in biggest crook-rate limits,accuracy and sensitivity of measuring.Study on measuring object surface details with large crook-rate changing accurately used new higher-power index low-pass filter of spatial frequency domain.A new method of automatic produced reference grating image and error-correcting is proposed.One undeform row of deform grating image is used to extend a complete reference grating image,and some error-correcting method is used to process the result to get accurate surface shape and the deflection of reference surface normal line deviated from the axle of camera.By this new method,one deform rectangle grating image is only used to get the 3-D shape accurately.
文摘In Order to reduce the noise in the images and the physical storage, the wavelet-based image compression technique was applied to PIV processing in this paper. To study the effect of the wavelet bases, the standard PIV images were compressed by some known wavelet families, Daubechies, Coifman and Baylkin families with various compression ratios. It was found that a higher order wavelet base provided good compression performance for compressing PIV images. The error analysis of velocity field obtained indicated that the high compression ratio, even up to 64.1, can be realized without losing significant flow information in PIV processing. The wavelet compression technique of PIV was applied to the experimental images of jet flow and showed excellent performance. A reduced number of erroneous vectors can be realized by varying compression ratio. It can say that the wavelet image compression technique is very effective in PIV system.
