Investigation of image representation and denoising performances of real and complex valued fast finite shearlet transform

In this study, image representation and denoising performances of recently defined real and complex valued fast finite shearlet transform are tested as comparatively with real and complex valued fast discrete curvelet transform. End of the study; the results obtained by using complex valued coefficients of the curvelet transform were found to be more successful than the results obtained by using real-valued coefficients. Whereas, obtained results of fast finite shearlet transform for real-valued coefficients are more successful than the obtained results for complex valued coefficients. In the applications, using real-valued fast finite of shearlet transform has achieved the best results.