Scale-space filtering: A new approach to multi-scale description
Witkin, A.
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP apos;84.
Volume 9, Issue , Mar 1984 Page(s): 150 - 153
Digital Object Identifier  
Summary: The extrema in a signal and its first few derivatives provide a useful general purpose qualitative description for many kinds of signals. A fundamental problem in computing such descriptions is scale: a derivative must be taken over some neighborhood, but there is seldom a principled basis for choosing its size. Scale-space filtering is a method that describes signals qualitatively, managing the ambiguity of scale in an organized and natural way. The signal is first expanded by convolution with gaussian masks over a continuum of sizes. This "scale-space" image is then collapsed, using its qualitative structure, into a tree providing a concise but complete qualitative description covering all scales of observation. The description is further refined by applying a stability criterion, to identify events that persist of large changes in scale.

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