Several Morphological Gradient Algorithms

This article provides a detailed introduction to several morphological gradient algorithms, aiming to help readers better understand their implementation and applications. These algorithms include but are not limited to single-scale gradients, multi-scale gradients, and multi-structuring element gradients. The single-scale gradient algorithm is a region-based analysis technique that effectively extracts boundary information between different regions in an image, typically implemented using basic dilation and erosion operations with a single structuring element. The multi-scale gradient algorithm analyzes images at different scales to obtain more comprehensive information, often achieved by applying gradient operations with progressively larger structuring elements and combining the results. The multi-structuring element gradient algorithm represents a more complex morphological approach that extracts image information using different structuring elements, potentially including directional elements for edge detection, yielding more refined results. Through the introduction and analysis of these algorithms, readers can better understand the applications of morphological gradient algorithms in image processing and master their implementation techniques, including parameter selection for structuring elements and optimization approaches for computational efficiency.