Mammogram

Left: Source image with features. The image is taken in a supine position.
Middle: Target image taken in a prone position. This is the position in which the actual operation is done by the surgion. However, the quality of this image is not comparable with that of the supine image. Thus, a cleaner image is to be generated by morphing the supine image using some salient features as landmarks.
Right : target features used to generate the morph.

left image : Result of feature-based metamorphosis.
middle image : Areas that are not correctly morphed by the feature-based matamorphosis.
right image : Result of our foldover-free morphing.

Note that feature-based metamorphosis method does not necessarily preserve geometric landmarks. For example, the white part (center of image) in the resulting image appears longer than the actual part (even when features are used to specify the area). This does not happen in the image generated by our method which is guaranteed to be homeomorphic to the original image.
These examples indicate that the user need to be careful when using the feature-based metamorphosis method to morph an image to another. One way to avoid this is to split the process into a number of small steps such that anomaly as these does not occur. Or, use our method for foldover-free morphing!

Click here for explanation why some methods generate mapping that are not one-to-one.