A note on the gradient of a multi-image
Computer Vision, Graphics, and Image Processing - Lectures notes in computer science, Vol. 201 (G. Goos and J. Hartmanis, Eds.)
A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Edge extraction using entropy operator
Computer Vision, Graphics, and Image Processing
Gradient threshold selection using the facet model
Pattern Recognition
Edge detection in multispectral images
CVGIP: Graphical Models and Image Processing
Color image processing and applications
Color image processing and applications
Edge, Junction, and Corner Detection Using Color Distributions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital Image Processing: PIKS Inside
Digital Image Processing: PIKS Inside
Edge detector evaluation using empirical ROC curves
Computer Vision and Image Understanding - Special issue on empirical evaluation of computer vision algorithms
CAIP '93 Proceedings of the 5th International Conference on Computer Analysis of Images and Patterns
The relationship between Precision-Recall and ROC curves
ICML '06 Proceedings of the 23rd international conference on Machine learning
Resolution analysis for Gradient Direction Matching of object model edges to overhead images
Computer Vision and Image Understanding
Corner detection based on gradient correlation matrices of planar curves
Pattern Recognition
Gradient histogram: Thresholding in a region of interest for edge detection
Image and Vision Computing
Applications of Vector Fields to Image Processing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital Step Edges from Zero Crossing of Second Directional Derivatives
IEEE Transactions on Pattern Analysis and Machine Intelligence
Detecting boundaries in a vector field
IEEE Transactions on Signal Processing
Vector order statistics operators as color edge detectors
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Automatic watershed segmentation of randomly textured color images
IEEE Transactions on Image Processing
Image segmentation using a texture gradient based watershed transform
IEEE Transactions on Image Processing
Gradient-based multiresolution image fusion
IEEE Transactions on Image Processing
A morphological gradient approach to color edge detection
IEEE Transactions on Image Processing
Color edge detection using vector order statistics
IEEE Transactions on Image Processing
Edge detection of color images using directional operators
IEEE Transactions on Circuits and Systems for Video Technology
A New Scheme for Robust Gradient Vector Estimation in Color Images
IEEE Transactions on Image Processing
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Gradient estimation is one of the most important tasks in image/video processing. For multichannel images, a classical and widely-used gradient method is Di Zenzo's gradient operator, which is based on the measure of squared local contrast variation of multichannel images. However, up to now, the indetermination of Di Zenzo's gradient direction has not been well solved, which results in errors occurring in most of the subsequent studies in which Di Zenzo's vector gradient is used. In this paper, this problem is solved thoroughly. Furthermore, the ranges of the values that the gradient angle should take in various cases are also analyzed. As an application in color image processing, a color version of Canny edge detector is implemented by introducing the new gradient estimator to the traditional grayscale image Canny operator. The experimental results indicate that the improved Di Zenzo's gradient operator is currently one of the best color gradient estimators and outperforms other state-of-the-art color image gradient methods. The improved multichannel gradient operator not only provides accurate gradient estimation but also is efficient and easy to implement.