Hequan Sun 2002 Meas. Sci. Technol. 13 1996 doi:10.1088/0957-0233/13/12/326
The Hartley transform applied to particle image velocimetry
Hequan Sun
Show affiliationsThe measurement principle of particle image velocimetry (PIV) is based on cross-correlation analysis of flow images. By using the cross-correlation property and fast algorithm of the Fourier transform, the analysis in PIV can be implemented easily and quickly. The Hartley transform is an integral transform similar to the Fourier transform and has most of the characteristics of the Fourier transform. The Hartley transform also has some better properties and a faster algorithm than the Fourier transform. The cross-correlation property of the Hartley transform based on separable kernels is presented in detail and the application to PIV analysis is introduced. The advantage of the Hartley transform can be shown from the comparison of numbers of operations in theory and computation time in practice.
- PACS
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47.80.-v Instrumentation and measurement methods in fluid dynamics
- Subjects
- Dates
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Issue 12 (December 2002)
Received 17 July 2002, accepted for publication 4 October 2002, in final form 30 September 2002
Published 1 November 2002
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The Hartley transform applied to particle image velocimetry
Hequan Sun 2002 Meas. Sci. Technol. 13 1996
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