Performance Analysis of the Explicit Decoupled Group Iteration via Five-Point Rotated Laplacian Operator in Solving Poisson Image Blending Problem

Eng, Jeng Hong; Saudi, Azali; Sulaiman, Jumat

doi:10.17485/ijst/2018/v11i12/120852

Cited by 5 publications

(3 citation statements)

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“…The corresponding modified variant of RBSOR, namely the modified accelerated over-relaxation (MAOR), are given as. Lastly, the modified variant of RBTOR, known as the modified two-parameter over-relaxation (MTOR) are given as (19) and (20).…”

Section: Modified Iterative Methodsmentioning

confidence: 99%

“…Based on the statistical method analysis of variance (ANOVA) [35], seven metrics are used namely mean square error (MSE), structural similarity index (SSIM) [36], structural content (SC), normalized crosscorrelation (NCC), normalized absolute error (NAE), average difference (AD) and maximum difference (MD) [37]. The simple MSE can be written as (19).…”

Section: Image Quality Measurementsmentioning

confidence: 99%

“…The iterative method to solve the Poisson equation for image editing was suggested in [17]. In [18] and [19], the modified over-relaxation and block method were developed. In the previous study, the TOR method had been applied to solve path planning problem [20] and many other partial differential equations [21]- [24].…”

Section: Introductionmentioning

confidence: 99%

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Modified iterative method with red-black ordering for image composition using poisson equation

Sunarto

2021

Bulletin EEI

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Image composition involves the process of embedding a selected region of the source image to the target image to produce a new desirable image seamlessly. This paper presents an image composition procedure based on numerical differentiation using the laplacian operator to obtain the solution of the poisson equation. The proposed method employs the red-black strategy to speed up the computation by using two acceleration parameters. The method is known as modified two-parameter over-relaxation (MTOR) and is an extension of the existing relaxation methods. The MTOR was extensively studied in solving various linear equations, but its usefulness in image processing was never explored. Several examples were tested to examine the effectiveness of the proposed method in solving the poisson equation for image composition. The results showed that the proposed MTOR performed faster than the existing methods.

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Section: Modified Iterative Methodsmentioning

confidence: 99%