risk-methods: Compute risks characterizing the quality of smoothing results

Description

Methods function risk in package aws. For an given array u the following statistics are computed : Root Mean Squared Error RMSE <- sqrt(mean((y-u)^2)), Signal to Noise Ratio SNR <- 10*log(mean(u^2)/MSE,10), Peak Signal to Noise Ratio PSNR <- 10*log(max(u^2)/MSE,10), Mean Absolute Error MAE <- mean(abs(y-u)), Maximal Absolute Error MaxAE <- max(abs(y-u)), Universal Image Quality Index (UIQI) (Wang and Bovik (2002)).

Usage

"risk"(y, u=0) "risk"(y, u=0) "risk"(y, u=0) "risk"(y, u=0) "risk"(y, u=0) "risk"(y, u=0)

Arguments

object

array of dimension dim(y) or dim(extract(y,what="yhat")$y) or scalar value used in comparisons.

Methods

signature(y = "ANY"): The method extract and/or compute specified statistics from object of class
signature(y = "array"): Returns a list with components RMSE, SNR, PSNR, MAE, MaxAE, UIQI
signature(y = "aws"): Returns a list with components RMSE, SNR, PSNR, MAE, MaxAE, UIQI
signature(y = "awssegment"): Returns a list with components RMSE, SNR, PSNR, MAE, MaxAE, UIQI
signature(y = "ICIsmooth"): Returns a list with components RMSE, SNR, PSNR, MAE, MaxAE, UIQI
signature(y = "kernsm"): Returns a list with components RMSE, SNR, PSNR, MAE, MaxAE, UIQI
signature(y = "numeric"): Returns a list with components RMSE, SNR, PSNR, MAE, MaxAE, UIQI

References

V. Katkovnik, K. Egiazarian and J. Astola, Local Approximation Techniques in Signal And Image Processing, SPIE Society of Photo-Optical Instrumentation Engin., 2006, PM157

Z. Wang and A. C. Bovik, A universal image quality index, IEEE Signal Processing Letters, vol. 9, N3, pp. 81-84, 2002.