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Introduction; 2. The principle of good continuation; 4. Higher-order PDE inpainting; 6. Transport inpainting; 7. The Mumford-Shah image for inpainting; 8. 'Since the late 1990s, there has been a substantial amount of academic works on the application of partial differential equations (PDEs) to the restoration of missing parts in images, which is usually referred to as the 'inpainting problem'.
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