2019
DOI: 10.1142/s0218348x19500609
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Hausdorff Derivative Laplacian Operator for Image Sharpening

Abstract: Image sharpening based on the partial differential equations plays an important role in the fields of image processing. It is an effective technique to clear and sharpen image features, and provides a higher resolution for the subsequent processing. This paper makes the first attempt to employ the Hausdorff derivative Laplacian operator to sharpen the images. In terms of the visual quality of details, contours and edges, the original images and noisy images were sharpened by using an appropriate Hausdorff deri… Show more

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Cited by 11 publications
(6 citation statements)
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“…In the Fourier spectrogram, background noise is often present as low-frequency components, while foreground features are present as high-frequency ones. In image processing, high-pass filtering is widely used in image enhancement, where high-frequency signals pass through the filter and lowfrequency components are suppressed [27][28][29]. So, a highpass filter has the effect of highlighting foreground features and enhancing the edges of the targets, thus pronouncing the differences between foreground and background features.…”
Section: Feature Enhancement and Feedback Propagationmentioning
confidence: 99%
“…In the Fourier spectrogram, background noise is often present as low-frequency components, while foreground features are present as high-frequency ones. In image processing, high-pass filtering is widely used in image enhancement, where high-frequency signals pass through the filter and lowfrequency components are suppressed [27][28][29]. So, a highpass filter has the effect of highlighting foreground features and enhancing the edges of the targets, thus pronouncing the differences between foreground and background features.…”
Section: Feature Enhancement and Feedback Propagationmentioning
confidence: 99%
“…Another innovative work to extend Hausdorff derivatives to image sharpening. The Hausdorff derivative Laplace equation (HDLO) is computed through Hausdorff fractal distance [32]. A hybrid deblurring strategy introduced by Chang et al tends to process strong edges and weak edges separately.…”
Section: • Approximation Of Edges Is More Accuratementioning
confidence: 99%
“…LBP 本质上是图像的 一阶导数模式, 是一种由二值导数方向组合而成 的微模式. 但是一阶导数模式提取的特征图往往 会产生较粗的边缘, 轮廓不够清晰, 对图像细节的 表征能力不够 [17][18] . 高阶导数对图像精细细节(如 细线、边缘等灰度变化剧烈区域)的增强作用要比 一阶导数好得多, 但是其对孤立像素点的响应也 更为强烈, 容易放大噪声, 这也是其弊端.…”
Section: 人脸识别大多数研究中都使用了纹理分析和 分类 纹理反映了图像的视觉特征 表征一个物体unclassified