Interactive Retouching of Images in the Frequency Domain

This paper describes a method and implementation for eliminating repetitive 2D patterns in images by interactively editing their Fourier spectra. It includes a brief discussion of the basic mathematical prerequisites, in particular, the 2D Discrete Fourier Transform and its relevant properties. Based on this concept, “InSpectral” is an interactive software application that provides intuitive and easy-to-use image editing functionality in the spectral domain with immediate visual feedback in the spatial domain. Emphasis is placed on special features, such as realtime visualization of the edited images and the design of the corresponding tools. The efficiency and quality of the results are demonstrated on several examples.