An image blur correction apparatus that includes a blur detection device, which detects a vibration applied to an optical system and outputs a blur signal in accordance with the detected vibration. Generation of a word-level network to model a constraints problem is presented. A semiconductor layer is formed on the mesa structures. The compounds contain the transition metals. The surface on which the image contained in the gelatine sheet is applied can be a die-cut laminar material, with the possibility of separating each individual element from said die-cut material so that each individual element contains the corresponding image portion.