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Title: Fourth-order partial differential equation noise removal on welding images

Partial differential equation (PDE) has become one of the important topics in mathematics and is widely used in various fields. It can be used for image denoising in the image analysis field. In this paper, a fourth-order PDE is discussed and implemented as a denoising method on digital images. The fourth-order PDE is solved computationally using finite difference approach and then implemented on a set of digital radiographic images with welding defects. The performance of the discretized model is evaluated using Peak Signal to Noise Ratio (PSNR). Simulation is carried out on the discretized model on different level of Gaussian noise in order to get the maximum PSNR value. The convergence criteria chosen to determine the number of iterations required is measured based on the highest PSNR value. Results obtained show that the fourth-order PDE model produced promising results as an image denoising tool compared with median filter.
Authors:
; ;  [1] ;  [2]
  1. Center of Mathematics Studies, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, 40450 Shah Alam, Selangor. Malaysia (Malaysia)
  2. Advanced Manufacturing Technology Center, Faculty of Mechanical Engineering, Universiti TEknologi MARA, 40450 Shah Alam, Selangor. Malaysia (Malaysia)
Publication Date:
OSTI Identifier:
22492500
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1682; Journal Issue: 1; Conference: SKSM22: 22. National symposium on mathematical sciences - Strengthening research and collaboration of mathematical sciences in Malaysia, Selangor (Malaysia), 24-26 Nov 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 42 ENGINEERING; COMPARATIVE EVALUATIONS; CONVERGENCE; DEFECTS; FILTERS; GAUSS FUNCTION; IMAGE PROCESSING; IMAGES; MATHEMATICS; NOISE; PARTIAL DIFFERENTIAL EQUATIONS; PEAKS; PERFORMANCE; REMOVAL; SIGNAL-TO-NOISE RATIO; SIMULATION; WELDING