Total variation denoising

Total variation denoising is a way to make a picture look clearer when it is blurry or has a lot of noise in it. Imagine you are drawing a picture with a lot of dots, but you want it to look smooth. To do this, you need to connect the dots so that they form a clear picture.

Total variation denoising works in a similar way. It connects the dots in an image to make it look smoother. But instead of dots, it works with pixels. Pixels are tiny little dots that make up any digital image.

When you take a picture, sometimes it becomes blurry or noisy. This happens when there is too much information in the picture, and it gets hard to see the details. Total variation denoising helps to remove this blur or noise and make the picture clearer.

To do this, total variation uses a special formula that looks at the difference between the pixel values in an image. It then tries to smooth out those differences to make the image look more even. This formula works by adding up the differences between adjacent pixels in the image. The total difference that is calculated is called the total variation of an image.

By minimizing the total variation of an image, total variation denoising removes the noise and blur, making it look sharper and clearer. This process is often used in image processing and computer vision where it is important to have a clear and accurate image.