Static Explosion Field Reconstruction Based on the Improved Biharmonic Spline Interpolation

Axial fans play a pivotal role in the road tunnel ventilation system. Qualified performance of the axial fan is important for both safety and air quality maintenance reasons. Axial fans performance in situ test of Qinling Zhongnan Mountain highway tunnel, the second longest road tunnel in the world, is presented in this research. Performance test items and the qualification criterion, as well as a general framework for the road tunnel axial fan assessment, are recommended. Log-Tchebycheff method is suggested to confirm the location for the measuring lines and points. The precision of the log-Tchebycheff method in air flow rate measuring is verified by comparing with the biharmonic spline interpolation fitting result. The research shows that the log-Tchebycheff method has high precision and good efficiency in the air flow rate measurement of the road tunnel air duct. What is more, the biharmonic spline interpolation fitting method can be applied to obtain a more accurate result. The number of interpolation points of the biharmonic spline interpolation fitting method should be bigger than 2000 to provide quality results.

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Biharmonic spline interpolation of GEOS-3 and Seasat altimeter data

Deep Sea Research Part B Oceanographic Literature Review ◽

10.1016/0198-0254(87)90215-9 ◽

1987 ◽

Vol 34 (9) ◽

pp. 763

Keyword(s):

Spline Interpolation ◽

Altimeter Data ◽

Biharmonic Spline Interpolation

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An Integrated Method for XRII Image Distortion Correction

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.742.252 ◽

2015 ◽

Vol 742 ◽

pp. 252-256 ◽

Cited By ~ 1

Author(s):

Yuan Jin Li ◽

Hua Zhong Shu ◽

Tao Wang ◽

Yang Wang ◽

You Yong Kong

Keyword(s):

Imaging System ◽

Spline Interpolation ◽

Image Intensifier ◽

Least Square Method ◽

Integrated Approach ◽

Distortion Correction ◽

Least Square ◽

Integrated Method ◽

Negative Effect ◽

Biharmonic Spline Interpolation

The distorted X-Ray Image Intensifier (XRII) image can introduce negative effect on following work for C-arm CT imaging system. In this paper, we propose an integrated approach based on least squares and Biharmonic spline interpolation to correct geometric distortions of XRII images. The method first uses morphology operation to extract the coordinate values of control points. Then the least square method fits the extracted coordinate values in every row and computes the more coordinate values by fixing the length in every row. Finally, The Biharmonic spline interpolation is used to interpolate the all coordinate values and correct the distortional XRII image. The experiment shows that the integrated method can effectively correct the distorted XRII image.

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Pseudo 3D seismic using biharmonic spline interpolation

IOP Conference Series Earth and Environmental Science ◽

10.1088/1755-1315/481/1/012054 ◽

2020 ◽

Vol 481 ◽

pp. 012054

Author(s):

E Yulianto ◽

F Abdullah ◽

N Novrizal ◽

A Riyanto

Keyword(s):

Spline Interpolation ◽

3D Seismic ◽

Biharmonic Spline Interpolation

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An Energy-Based Residual Stress Field Reconstruction Approach Using Limited Measurements

Volume 2B: Advanced Manufacturing ◽

10.1115/imece2015-50915 ◽

2015 ◽

Author(s):

H.-B. Liu ◽

Y.-P. Li ◽

Y.-Q. Wang ◽

X.-J. Sheng

Keyword(s):

Residual Stress ◽

Stress Distribution ◽

Stress Field ◽

Structural Integrity ◽

Spline Interpolation ◽

Residual Stress Field ◽

Strain Compatibility ◽

Integrity Assessment ◽

Field Reconstruction ◽

Initial Stress Field

To characterize the residual stress distribution is very crucial for workpiece fatigue lifetime and structural integrity assessment. An energy-based residual stress field reconstruction approach using limited measurements is proposed. Firstly, the Ferguson spline interpolation technique is employed as the stress interpolation base of the 2-order stress tensor. Then, an initial stress field can be reconstructed using the overall boundary conditions by minimizing strain energy. Further, the stress distribution is modified according to strain compatibility equation. At last, a typical stress unit from the artificial stress field constructed by FEM, was picked up as an input set to verify the validation of the developed model and algorithm numerically. It was demonstrated that the energy-based scheme was efficient and reliable to reconstruct the residual stress field from limited measurements.

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