NDLI: Discrete scale spaces via heat equation

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Discrete scale spaces via heat equation

Content Provider	IEEE Xplore Digital Library
Author	Cunha, A. Teixeira, R. Velho, L.
Copyright Year	2001
Abstract	Scale spaces allow us to organize, compare and analyse differently sized structures of an object. The linear scale space of a monochromatic image is the solution of the heat equation using that image as an initial condition. Alternatively, this linear scale space can also be obtained by applying Gaussian filters of increasing variances to the original image. The authors compare (by looking at theoretical properties, running time and output differences) five ways of discretizing this Gaussian scale-space: sampling Gaussian distributions; recursively calculating Gaussian approximations; using splines; approximating by first-order generators; and finally, by a new method we call "Crossed Convolutions". In particular, we explicitly present a correct way of initializing the recursive method to approximate Gaussian convolutions.
Sponsorship	Brazilian Comput. Soc.(SBC)
Starting Page	68
Ending Page	75
File Size	922704
Page Count	8
File Format	PDF
ISBN	0769513301
DOI	10.1109/SIBGRAPI.2001.963039
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-10-15
Publisher Place	Brazil
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Space heating Equations Nonlinear filters Image sampling Gaussian distribution Gaussian approximation Planets Physics computing Data mining Image processing
Content Type	Text
Resource Type	Article

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