基于角點(diǎn)保護(hù)的偏微分方程圖像插值方法
doi: 10.11999/JEIT141420
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1.
(天津工業(yè)大學(xué)電子與信息工程學(xué)院 天津 300387) ②(天津工業(yè)大學(xué)計(jì)算機(jī)科學(xué)與軟件學(xué)院 天津 300387)
Image Interpolation with Corner Preserving Based on Partial Differential Equation
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1.
(School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China)
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2.
(School of Computer Science and Software Engineering, Tianjin Polytechnic University, Tianjin 300387, China)
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摘要: 圖像插值是數(shù)字圖像處理領(lǐng)域中的一個(gè)基本問題,利用插值技術(shù)可以實(shí)現(xiàn)圖像的縮放和圖像恢復(fù)。傳統(tǒng)的插值方法易使邊緣產(chǎn)生鋸齒效應(yīng)或使插值結(jié)果模糊不清。該文提出一種基于角點(diǎn)保護(hù)的偏微分方程插值方法。該方法針對圖像中不同的特征進(jìn)行特定插值,在保持邊緣結(jié)構(gòu)清晰的同時(shí),還能保護(hù)尖銳的角形結(jié)構(gòu),有效改善插值后圖像的整體視覺效果和峰值信噪比。此外,對方程的主要參數(shù)進(jìn)行分析,提出了相應(yīng)的參數(shù)確定方法,從而提高該方法的適用性。Abstract: Image interpolation is a basic issue in digital image processing, which can be used to realize image magnification and restoration, etc.. Traditional interpolation methods are easy to make the edge structures produce staircase artifacts or make the interpolated results blurred. An image interpolation method with corner preserving based on Partial Differential Equation (PDE) is proposed, which provides different interpolation applications for different characteristics of the image. The proposed interpolation scheme is not only able to?maintain the edge structure clear, but also able to keep the corner sharp. Then, the overall visual and the Peak Signal to Noise Ratio (PSNR) of the interpolation image can be improved effectively. In addition, this paper puts forward methods for selecting the parameters through analyzing the equation, thus it improves the adaptability of the proposed method.
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Key words:
- Image interpolation /
- Image magnification /
- Partial Differential Equation (PDE) /
- Corner /
- Edge
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