Blind Separation of Superimposed Shifted Images Reflections

Using

Parameterized Approximate Joint Diagonalization

 

Efrat Be'ery, Arie Yeredor

 

Demonstration of results:

 

 

                           1. Synthetic Mixtures: Fish & Chips

 

                          

 

                           Left column: Originals

                           Middle Column: Mixtures (with shifts) using a non-singular mixing matrix

                           Right Column: Mixtures (with shifts) using a singular mixing matrix

 

                          

                           Separation results:

 

                      

 

                           Left column: "Clairvoyant" separation: using the true (un)mixing coefficients but ignoring the shifts

                           Middle Column: Attained separation in the case of a non-singular mixing matrix

                           Right Column: Attained separation using a singular mixing matrix

 

 

 

                           2. Real-life photography with reflections: Teddy-Bear

 

                          

 

                           Mixtures (shifts generated by slightly tilting the reflecting window between snapshots)

 

 

 

                          

 

                           Separated.

 

                          

                           3. Real-life photography with reflections: Camera

 

                      

 

                       Mixtures (shifts generated by slightly tilting the reflecting window between snapshots)

 

 

                      

                      

                       Separated.

 

 

                       3. Synthetic video sequences: Panoramic cross-fade

                               (be patient, these movies may take a while to download)

                          

                           Mixture:

                          

                      

                       Separated: