Partial derivative of image using mask

1. What is a derivative mask?
2. How can you calculate the derivative of an image?
3. What are derivatives in image processing?
4. What is meant by first derivative of an image?

What is a derivative mask?

All the masks that are used for edge detection are also known as derivative masks. Because as we have stated many times before in this series of tutorials that image is also a signal so changes in a signal can only be calculated using differentiation.

How can you calculate the derivative of an image?

Image derivatives can be computed by using small convolution filters of size 2 × 2 or 3 × 3, such as the Laplacian, Sobel, Roberts and Prewitt operators. However, a larger mask will generally give a better approximation of the derivative and examples of such filters are Gaussian derivatives and Gabor filters.

What are derivatives in image processing?

In image processing and especially edge detection, when we apply sobel convolution matrix to a given image, we say that we got the first derivative of the input image, and when applying the laplacian matrix to the initial image we say that we got the second derivative.

What is meant by first derivative of an image?

Image derivative

The first information that our brain decodes is the shape, the color, the presence of textures, the orientation of the light and the edges.