Bilateral filter formula

1. How do you calculate bilateral filter?
2. How do you choose bilateral filter parameters?
3. How do you use a bilateral filter?
4. What is Sigma Space in bilateral filter?

How do you calculate bilateral filter?

where fz is the 'image': fz(y)=Gt(z−f(y)). Now the value of the bilateral filter at position x is given by b(x,f(x)). So to implement the bilateral filter without error we should calculate b(x,z) for all values of z=f(x) that are in the image.

How do you choose bilateral filter parameters?

The bilateral filter is controlled by two parameters: σs and σr. Figure 2.3 illustrates their effect. constant over the intensity interval of the image. Increasing the spatial parameter σs smooths larger features.

How do you use a bilateral filter?

A bilateral filter is a non-linear, edge-preserving, and noise-reducing smoothing filter for images. It replaces the intensity of each pixel with a weighted average of intensity values from nearby pixels. This weight can be based on a Gaussian distribution.

What is Sigma Space in bilateral filter?

sigma space:

Enter a value to filter sigma in the coordinate space (σd). A larger value means that farther pixels will influence each other as long as their colors are close enough. When d>0 , it specifies the neighborhood size regardless of sigma space. Otherwise, d is proportional to sigma space.