An efficient edge sharpening technique for digital images is proposed. The resulting image has natural smoothness in its gray levels. The technique includes a Laplacian operator (a traditional technique for image enhancement) and the phase-only synthesis in Fourier analysis. The adaptive weighted functions are the S-function and π-function, often used in fuzzy theory. Furthermore, a human visual property is also introduced to attain effective results for human eyes. The processed image results were evaluated using the cross section of the gray levels of the image. Simulation examples indicate that the proposed technique is more effective than the traditional one.