References  Mosaic Tutorial  Perspective projection into two views

Subsections

• Planar visualization
• Cylindrical visualization
• Movie from mosaic

Mosaics

  As we saw before in certain cases the images can be related by a homography. In those cases we call mosaic the structure composed by the images and the homographies.

Planar visualization

Choosing one of the images as a reference, we can visualize the mosaic (schematically in figure 3 and real images in figure 4), we call this visualization, planar visualization.  

Figure 3: Top: Schema of a mosaic with three images, Bottom: The homographies for the visualization in the reference of image 2

   

Figure 4: 
 Top: The images, Bottom: the mosaic

 

 

   

Cylindrical visualization

In case of panoramic views (i.e. the camera does only a rotation around its optical center), if we have the Zoom parameter we can visualize the mosaic using a cylindrical projection with the formula 17

$$\begin{array}{c} \theta = tan^{-1}(x/Z)\ \ \rho = y/\sqrt{x^2+Z^2} \end{array}$$ (17)

 

 

Figure 5: 
  Top: three images, Bottom: the cylindrical mosaic of the three images

 

 

Figure 6: 
  Top: An example of a panorac mosaic with no intensity adjusting, Bottom: the same mosaic with intensity adjusting

Movie from mosaic

The images

The mosaic

The Movie

AVI ~ 18Megs (gzip)

Mpeg ~ 5Megs

3/13/1998