Home
Research
Publications
Teaching
Posters
Movies
Computer Graphics
Curriculum Vitae

Image Registration Computer Vision Computat. Anatomy Point Clouds Surface Denoising Image Segmentation Medical Imaging Image Processing Compressible Fluids Incompressible Fluids Level Set Methods Vortex Sheets

IMAGE RESTORATION AND IMAGE DECOMPOSTION

bulletImage Decomposition
bulletDenoising
bulletDeblurring
bullet Joint Denoising and Deconvolution

IMAGE DECOMPOSITION

BV-L1 SCALE SPACE

INVERSE BV-L1 SCALE SPACE

BV-L1 SCALE SPACE

riss bvl1 here

horizontal rule


NOISE REMOVAL

    Nonlinear total variation (TV) based noise removal algorithm was introduced by Leonid Rudin, Stanley Osher and Emad Fatemi.  The total variation of the image is minimized subject to constraints.  Here, the algorithm is used to denoise a variety of images.

Original Image Noisy Image

Denoised Image

     

 

 

 
     
     

 

Movies:

 

An example to the right shows a picture taken using a personal digital camera with a desire to get a clear photo.  The total variation based noise removal algorithm is used to denoise the image.

horizontal rule


DEBLURRING

    Total variation-based image restoration can be used to enhance blurry images.  In the examples below, it is seen that a lot of information can be recovered even from extremely blurry images.

Original Image Blurred Image

Recovered Image

     

horizontal rule


DENOISING AND DEBLURRING

    Image restoration becomes even harder to accomplish if an image was damaged with both blur and noise.  Such images could be improved considerably using total variation image restoration.

Original Image Blurred and Noisy Image

Recovered Image

     

horizontal rule

Igor Yanovsky