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- W1979859622 abstract "Diffusion Smoothing (DS) implements the smoothing by directly solving a boundary value problem of the diffusion equation — = b V2u with explicit or implicit numerical schemes, it provides a uniform theoretical base for some other smoothing methods. It has shown that the elegant Gaussian smoothing (GS) is equivalent to the initial value problem of DS, and the widely-used Repeated Averaging (RA) is a special case of the explicit DS. This paper further proves that Spline smoothing (SS) is a special case of the explicit DS with a convex corner cling boundary condition. This result coincides with Poggio's conclusion However, our proof starts from the diffusion smoothing theory instead of regularisatio n theory and is given in the mask form, thus is simpler and more straightforward. Moreover, it makes us possible to explicit the scale space behaviour of spline smoothing." @default.
- W1979859622 created "2016-06-24" @default.
- W1979859622 creator A5089147283 @default.
- W1979859622 date "1989-01-01" @default.
- W1979859622 modified "2023-09-26" @default.
- W1979859622 title "Spline Smoothing: A Special Case of Diffusion Smoothing" @default.
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- W1979859622 doi "https://doi.org/10.5244/c.3.47" @default.
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