Denoising Methods Based on Partial Differential Equation for BGA X-Ray Image

Xia Shi-chua · Journal of North University of China · 2013

In view of characteristics of BGA(Ball Grid Array) X-ray image including random noise and low signal to noise ratio, partial differential equation methods were introduced, including P-M(Perona-Malik) model, TV(Total Varition) model, high-order partial differential equation of diffusion model and fractional diffusion model. On basis of fractional diffusion model, an adaptive coefficient and a continuous gradient factor were joined. It increases edge protection ability of model. The practical de-noising results show that: P-M model blurs image edge when denoising; TV model brings the staircase effect when denoising; although high-order partial differential equation of diffusion model can avoid the staircase effect, denoising is not thorough.The fractional order adaptive diffusion model with continuous gradient factor can overcome above shortcomings, it brings effective denoising for BGA X-ray image and maintains information of image edge.

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