MATLAB Source Code for Edge Detection Using LoG Operator

Below is the MATLAB source code for edge detection using the Laplacian of Gaussian (LoG) operator. This algorithm employs a multi-scale approach to identify edge regions in digital images by first smoothing the image with a Gaussian filter to reduce noise, then applying the Laplacian operator to detect rapid intensity changes. The implementation involves several key steps: loading the input image and converting it to grayscale using rgb2gray() function for uniformity, creating a LoG filter kernel through fspecial('log') with customizable parameters (filter size and standard deviation), performing 2D convolution using imfilter() or conv2() functions, and finally thresholding the output to highlight significant edges. The code leverages MATLAB's Image Processing Toolbox functions including imread(), imshow(), and edge detection utilities. Ensure the toolbox is installed before execution. This implementation demonstrates zero-crossing detection methodology where edges correspond to points where the LoG output changes sign. The source code provides adjustable parameters for optimizing edge detection results based on different image characteristics.