Spatial frequency identification method based on two-dimensional variational mode decomposition of machined surface
A technology of variational mode decomposition and surface processing, which is applied in character and pattern recognition, special data processing applications, complex mathematical operations, etc., and can solve large reconstruction errors, modal mixing, and unsatisfactory spatial frequency separation effects, etc. problem, to achieve the effect of solving incomplete decomposition and solving modal aliasing
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[0070] This embodiment provides a spatial frequency identification method based on two-dimensional variational mode decomposition of ultra-precision machining surface topography, and the specific steps are as follows:
[0071] Step 1, convert the collected 3D topography data into a matrix form, and determine the size of the matrix. The initial 3D topography is as follows Figure 4 shown.
[0072] Step 2, gradually extend the matrix data in step 1, the schematic diagram of the extension is as follows image 3 As shown, the 3D shape data after continuation are as follows: Figure 5 Shown:
[0073] Step 21, record the workpiece surface shape data after ultra-precision machining as A 0(x,y) , where x, y are the sampling points of the row and column of the workpiece surface shape data after ultra-precision machining, (x=1,2,3,...,M; y=1,2,3,...,N) ;
[0074] Step 22, for A 0(x,y) Take its lower boundary as the axis, perform mirror flip, and compare the flipped data with A 0...
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