A Linear Programming Algorithm for Reconstruction of 3D Particle Field in Particle Image Velocimetry
A particle image velocity measurement and linear programming technology, applied in measurement devices, fluid velocity measurement, velocity/acceleration/shock measurement, etc., can solve the problems of insignificant effect, velocity field calculation error, etc., to reduce the probability of false particles appearing, The effect of high-precision reconstruction
Active Publication Date: 2018-06-05
BEIHANG UNIV
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Moreover, the MART algorithm will also generate a large number of ghost particles in the reconstruction of the three-dimensional gray field, which will introduce a large error to the calculation of the velocity field.
At present, there are a large number of tomographic PIV 3D gray field reconstruction technologies based on the MART algorithm. They all optimize the MART algorithm in terms of computational efficiency, spatial resolution, and elimination of false particles, but the effect is not obvious.
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[0035]In the embodiment of the present invention: obtain the grayscale distribution parameters of a single particle image in the particle image and the weight matrix of multi-camera projection; construct two sets of basis functions according to the grayscale distribution parameters, and convert the three-dimensional grayscale field into the A linear combination of two sets of basis functions; an optimized solution to the linear equation formed by the weight matrix and the transformed three-dimensional gray-scale field.
[0036] The present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments.
[0037] figure 1 It is a schematic diagram of the implementation process of the linear programming algorithm for particle image velocimetry and three-dimensional particle field reconstruction described in the embodiment of the present invention, including:
[0038] Step 101: Obtain the gray distribution parameters of ...
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The invention discloses a linear programming algorithm for three-dimensional particle field reconstruction in particle image velocimetry. The linear programming algorithm comprises the following steps: obtaining the gray scale distribution parameter of a single particle image in particle images and a multi-camera projected weight matrix; constructing two groups of basis functions according to the gray scale distribution parameter, and converting a three-dimensional gray scale field into a linear combination of the two groups of basis functions; performing optimization solution on a linear equation comprising the weight matrix and the converted three-dimensional gray scale field. The linear programming algorithm can realize high-precision reconstruction of the three-dimensional gray scale field, and can obviously reduce the probability of the occurrence of false particles.
Description
technical field [0001] The invention relates to the technical field of hydrodynamic velocity measurement, in particular to a linear programming algorithm for three-dimensional particle field reconstruction of particle image velocity measurement. Background technique [0002] In the particle image velocimetry (PIV) technology, the tracer particle imaging of the three-dimensional flow field using multiple cameras from different perspectives can finally measure the complete three-dimensional velocity field in the three-dimensional space. The common tomographic PIV (TPIV) method belongs to such technologies. The three-dimensional gray field reconstruction in TPIV technology is the most critical data processing link to realize TPIV velocity field measurement, and the industry has launched a lot of algorithm research on this. The three-dimensional gray field reconstruction is to use the projection image (projection) of multiple cameras to invert to obtain the three-dimensional gr...
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IPC IPC(8): G01P5/26
Inventor 高琪叶志坚王洪平王晋军
Owner BEIHANG UNIV