DocumentCode :
1841549
Title :
Discrete scale spaces via heat equation
Author :
Cunha, Anderson ; Teixeira, Ralph ; Velho, Luiz
fYear :
2001
fDate :
37165
Firstpage :
68
Lastpage :
75
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
Keywords :
Gaussian distribution; filtering theory; image processing; splines (mathematics); Crossed Convolutions; Gaussian approximations; Gaussian distributions; Gaussian filters; Gaussian scale-space; approximate Gaussian convolutions; discrete scale spaces; first-order generators; heat equation; initial condition; linear scale space; monochromatic image; output differences; running time; splines; Data mining; Equations; Gaussian approximation; Gaussian distribution; Image processing; Image sampling; Nonlinear filters; Physics computing; Planets; Space heating;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Computer Graphics and Image Processing, 2001 Proceedings of XIV Brazilian Symposium on
Conference_Location :
Florianopolis
Print_ISBN :
0-7695-1330-1
Type :
conf
DOI :
10.1109/SIBGRAPI.2001.963039
Filename :
963039
Link To Document :
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