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arXiv 2408.14013cs.CV

一种利用CBM3D滤波器的多尺度梯度融合彩色图像边缘检测方法

A Multiscale Gradient Fusion Method for Edge Detection in Color Images Utilizing the CBM3D Filter

Johns Hopkins University(约翰斯·霍普金斯大学);Northern Arizona University(北亚利桑那大学);New York University(纽约大学)

Zhuoyue Wang, Yiyi Tao, Danqing Ma, Jiajing Chen

AI总结:

本文提出一种结合CBM3D滤波与多尺度梯度融合的彩色图像边缘检测方法,通过色彩空间转换、去噪、梯度融合及形态学细化提升边缘质量,实验表明其噪声鲁棒性和检测精度优于多种现有方法。

摘要:

本文提出了一种基于协同滤波并结合多尺度梯度融合的彩色边缘检测策略。块匹配三维(BM3D)滤波器用于增强变换域中的稀疏表示并达到去噪效果,而多尺度梯度融合弥补了单尺度边缘检测中细节丢失的缺陷,提高了边缘检测的分辨率和质量。首先,通过数学运算将数据集中的RGB图像转换为XYZ色彩空间图像。其次,对稀疏图像使用彩色块匹配三维(CBM3D)滤波器以去除噪声干扰。然后,计算彩色图像的向量梯度和两个尺度参数的各向异性高斯方向导数,并逐像素平均以获得新的边缘强度图。最后,通过图像归一化和非极大值抑制技术增强边缘特征,并在此基础上通过双阈值选择和新提出的形态学细化方法获得边缘轮廓。通过对边缘检测数据集的实验分析,所提出的方法具有良好的噪声鲁棒性和较高的边缘质量,PR曲线、AUC、PSNR、MSE和FOM指标表明其优于Color Sobel、Color Canny、SE和Color AGDD方法。

英文摘要:

In this paper, a color edge detection strategy based on collaborative filtering combined with multiscale gradient fusion is proposed. The block-matching and 3D (BM3D) filter are used to enhance the sparse representation in the transform domain and achieve the effect of denoising, whereas the multiscale gradient fusion makes up for the defect of loss of details in single-scale edge detection and improves the edge detection resolution and quality. First, the RGB images in the dataset are converted to XYZ color space images through mathematical operations. Second, the colored block-matching and 3D (CBM3D) filter are used on the sparse images and to remove noise interference. Then, the vector gradients of the color image and the anisotropic Gaussian directional derivative of the two scale parameters are calculated and averaged pixel-by-pixel to obtain a new edge strength map. Finally, the edge features are enhanced by image normalization and non-maximum suppression technology, and on that basis, the edge contour is obtained by double threshold selection and a new morphological refinement method. Through an experimental analysis of the edge detection dataset, the method proposed has good noise robustness and high edge quality, which is better than the Color Sobel, Color Canny, SE and Color AGDD as shown by the PR curve, AUC, PSNR, MSE, and FOM indicators.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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