Edge Detection in Images Using Gaussian Function Derivatives

Resource Overview

This method detects image edges through Gaussian function derivatives, which is essentially equivalent to steerable wavelet transform-based edge detection across eight directional transformations.

Detailed Documentation

The approach of detecting image edges using Gaussian function derivatives is a steerable wavelet transform-based edge detection method. This technique enables edge detection along eight distinct directions in an image. In practice, this can be implemented by convolving the image with a set of directional Gaussian derivative filters, where each filter corresponds to a specific orientation (typically at 0°, 45°, 90°, 135°, and their symmetrical counterparts). Key computational steps include calculating first or second-order Gaussian derivatives, applying directional filters through 2D convolution operations, and combining the multi-directional responses using non-maximum suppression and thresholding algorithms to produce the final edge map.