Conclusion

• Representation based on geometry, complete and not redundant, with an easy to use structure, the tree
• The tree encodes important information on the topology of the image (holes, extrema)
• Definition and proof of autoduality of the grain filter for continuous images
• Adaptive quantization
• Contrast invariant registration algorithm, not affected by secondary motions, of good precision even in unfavorable cases

Summer School on Mathematical Problems in Image Processing, Trieste, Italy, September 4th-18th 2000