Color edge detection using multiscale quaternion convolution

Xu, Jiangyan; Ye, Linning; Luo, Wang

doi:10.1002/ima.20258

Cited by 10 publications

(7 citation statements)

References 12 publications

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“…The filter converts smoothly varying colored regions to grey and produces color where edge pixels are present. Color edge detection using multiscale quaternion convolution [71]: In this paper, a color edge detector based on quaternion convolution is presented and also direction of edge is calculated for modulus maximum suppression. Color-sensitive Edge Detection using Hyper complex Filters [72]: In this paper, a color-pair-sensitive edge detection technique is proposed to find edges between homogeneous regions of particular colors using a hyper complex filter.…”

Section: Analysis Of Quaternion-based Methodsmentioning

confidence: 99%

Color Image Edge Detection: A Survey

2017

IJIET

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Abstract-This paper presents a comprehensive review on various color edge detection techniques. Several edge detection techniques have been proposed in literature to detect edges present in monochrome as well as color images. Some commonly used first derivative edge operators and second derivative edge operators such as Roberts, Sobel, Prewitt, Compass, Laplacian of Gaussian (LoG), Canny, Marr-Hildreth and Haralick are discussed here and then the techniques are further extended to vector-valued techniques. In the traditional color edge detection techniques, the color image is first separated into three different channels such as R, G and B before processing and then the algorithm is applied on the respective channels and in the end all channels are combined to produce the result. But in the Quaternion based techniques the color pixel is considered as a single unit as a result of which the geometrical transformations and three dimensional rotation are easier to perform on it compared to the RGB domain.

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Section: Analysis Of Quaternion-based Methodsmentioning

confidence: 99%

Color Image Edge Detection: A Survey

2017

IJIET

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“…In image processing, edge detection can be accomplished by convolution with differential operators [44,45]. Differential operators are divided into first-order differential operators and second-order operators.…”

Section: Concrete Surface Feature Recognitionmentioning

confidence: 99%

Evaluation of the Uniformity of Protective Coatings on Concrete Structure Surfaces Based on Cluster Analysis

Liu

Zhang

Tang

et al. 2021

Sensors

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With the continuous development of urbanization and industrialization in the world, concrete is widely used in various engineering constructions as an engineering material. However, the consequent problem of durability of concrete structures is also becoming increasingly prominent. As an important additional measure, a protective coating can effectively improve the durability of concrete performance. Moreover, the uniformity of the concrete surface coating will directly affect its protective effect. Therefore, we propose a nondestructive inspection and evaluation method of coating uniformity based on infrared imaging and cluster analysis for concrete surface coating uniformity detection and evaluation. Based on the obtained infrared images, a series of processing and analysis of the images were carried out using MATLAB software to obtain the characteristics of the infrared images of the concrete surface. Finally, by extracting the temperature distribution data of the pixel points on the concrete surface, an evaluation method of concrete surface coating uniformity based on a combination of cluster analysis and hierarchical analysis was established. The evaluation results show that the determination results obtained by this method are consistent with the actual situation. This study has a positive contribution to the testing of concrete surface coating uniformity and its evaluation.

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“…Recently, quaternion, as an elegant color image representation tool, has attracted much attention in the field of color image processing. For instance, it has achieved excellent results in the following applications: color image filtering [18], color image edge detection [19], color image denoising [20], [21], color image watermarking [22], color face recognition [23], color image inpainting [24] and so on. By using quaternion algebra, a color image is encoded as a pure quaternion matrix, that means it processes a color image holistically as a vector field and handles the coupling between the color channels naturally [18], [25], [26], and thus color information of source image is fully used.…”

Section: Introductionmentioning

confidence: 99%

Quaternion-based bilinear factor matrix norm minimization for color image inpainting

Miao,

Kou

2020

Preprint

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As a new color image representation tool, quaternion has achieved excellent results in the color image processing, because it treats the color image as a whole rather than as a separate color space component, thus it can make full use of the high correlation among RGB channels. Recently, low-rank quaternion matrix completion (LRQMC) methods have proven very useful for color image inpainting. In this paper, we propose three novel LRQMC methods based on three quaternion-based bilinear factor (QBF) matrix norm minimization models. Specifically, we define quaternion double Frobenius norm (Q-DFN), quaternion double nuclear norm (Q-DNN) and quaternion Frobenius/nuclear norm (Q-FNN), and then show their relationship with quaternion-based matrix Schatten-p (Q-Schatten-p ) norm for certain p values. The proposed methods can avoid computing quaternion singular value decompositions (QSVD) for large quaternion matrices, and thus can effectively reduce the calculation time compared with existing (LRQMC) methods. The experimental results demonstrate the superior performance of the proposed methods over some state-of-the-art low-rank (quaternion) matrix completion methods.

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Color edge detection using multiscale quaternion convolution

Cited by 10 publications

References 12 publications

Color Image Edge Detection: A Survey

Color Image Edge Detection: A Survey

Evaluation of the Uniformity of Protective Coatings on Concrete Structure Surfaces Based on Cluster Analysis

Quaternion-based bilinear factor matrix norm minimization for color image inpainting

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