In discrete-cosine-transform-based (DCT-based) compressions such as JPEG it is a common practice to use the same quantization matrix for both encoding and decoding. However, this need not be the case, and the flexibility of designing different matrices for encoding and decoding allows us to perform image restoration in the DCT domain. This is especially useful when we have severe limitations on the computational power, for instance, with in-camera image manipulation for programmable digital cameras. We provide an algorithm that compensates partially for a defocus error in image acquisition, and experimental results show that the restored image is closer to the in-focus image than is the defocused image.
© 1998 Optical Society of America
(100.3020) Image processing : Image reconstruction-restoration
(110.4280) Imaging systems : Noise in imaging systems
(110.6980) Imaging systems : Transforms
(220.1000) Optical design and fabrication : Aberration compensation
(220.2560) Optical design and fabrication : Propagating methods
Edmund Y. Lam and Joseph W. Goodman, "Discrete Cosine Transform Domain Restoration of Defocused Images," Appl. Opt. 37, 6213-6218 (1998)