Why is second-order Gaussian called Laplacian Gaussian?

1. Why Gaussian is Laplacian?
2. What is Laplacian of Gaussian Where and how is it used?
3. What is Laplacian of Gaussian filter?
4. What are the advantages of Laplacian of Gaussian filter?

Why Gaussian is Laplacian?

Laplacian filters are derivative filters used to find areas of rapid change (edges) in images. Since derivative filters are very sensitive to noise, it is common to smooth the image (e.g., using a Gaussian filter) before applying the Laplacian. This two-step process is call the Laplacian of Gaussian (LoG) operation.

What is Laplacian of Gaussian Where and how is it used?

The Laplacian is a 2-D isotropic measure of the 2nd spatial derivative of an image. The Laplacian of an image highlights regions of rapid intensity change and is therefore often used for edge detection (see zero crossing edge detectors).

What is Laplacian of Gaussian filter?

1 The Laplacian of Gaussian Edge Detector. The LoG filter is an isotropic spatial filter of the second spatial derivative of a 2D Gaussian function. The Laplacian filter detects sudden intensity transitions in the image and highlights the edges.

What are the advantages of Laplacian of Gaussian filter?

Laplacian of Gaussian (LoG) Filter - useful for finding edges - also useful for finding blobs! Sharp changes in gray level of the input image correspond to “peaks or valleys” of the first-derivative of the input signal.