Representations Based on Zero-Crossings in Scale-Space (Classic Reprint)
(Paperback)
Robert A. Hummel,
Forgotten Books (Publisher)
Published
2018
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Robert A. Hummel,
Forgotten Books (Publisher)
Ships within 12-14 days
Out Of Stock
Using the Heat Equation to formulate the notion of scale-space filtering, we show that the evolution property of level-crossings in scale-space is equivalent to the max imum principle. We briefly discuss filtering over bounded domains. We then con sider the completeness of the representation of data by zero-crossings, and observe that for polynomial data, the issue is solved by standard results in algebraic geometry. For more general data, we argue that gradient information along the zero-crossings is needed, and that although such information more than suffices, the representation is still not stable. We give a simple linear procedure for reconstruc tion of data from zero-crossings and gradient data along zero-crossings in both con timucus and discrete scale-space domains.
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