JPLLK_surface: Jump-Preserving Local Linear Kernel Smoothing

View source: R/JPLLK_surface.r

JPLLK_surfaceR Documentation

Jump-Preserving Local Linear Kernel Smoothing


Estimate surface using piecewise local linear kernel smoothing. The bandwidth is chosen by leave-one-out cross validation.


JPLLK_surface(image, bandwidth, plot = FALSE)



A square matrix, no missing value allowed.


A numeric vector of positive integers, which specifies the number of pixels used in the local smoothing. The final fitted surface uses the optimal bandwidth chosen from those provided by users.


If plot = TRUE, the image of the fitted surface is plotted.


At each pixel, the gradient is estimated by a local linear kernel smoothing procedure. Next, the local neighborhood is divided into two halves along the direction perpendicular to (\widehat{f}'_{x}, \widehat{f}'_{y}). Then the one- sided local linear kernel (LLK) estimates are obtained in the two half neighborhoods respectively. Among these two one-sided estimates, the one with smaller weighted mean square error is chosen to be the final estimate of the regression surface at the pixel.


A list of fitted values, residuals, chosen bandwidth and estimated sigma.


Qiu, P. (2009) "Jump-Preserving Surface Reconstruction from Noisy Data", Annals of the Institute of Statistical Mathematics, 61(3), 715 – 751, \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1007/s10463-007-0166-9")}.

See Also

threeStage, surfaceCluster


data(sar) # SAR image is bundled with the package and it is a 
          # standard test image in statistics literature.
fit <- JPLLK_surface(image=sar, bandwidth=c(3, 4))

DRIP documentation built on May 29, 2024, 4:56 a.m.

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