Fuzzy relations among pixel luminances are simple and effective tools for the processing of digital images. This chapter shows how fuzzy relations can be adopted in the design of a complete image enhancement systems and successfully address conflicting tasks such as detail sharpening and noise cancellation. For this purpose, the different behaviors of fuzzy relation-based high-pass filters and noise smoothers are explained along with the effects of different parameter settings. Results of computer simulations show that fuzzy relation-based processing is an effective resource for the sharpening of noisy images and is easy to use.
