Analytic Existence and Uniqueness Results for PDE-Based Image Reconstruction with the Laplacian 2017-06-04 Project Slides Partial Differential Equation Inpainting Well Posedness Mathematician and Software Engineer Researcher, Engineer, Tinkerer, Scholar, and Philosopher. Related Optimal Interpolation Data for Image Reconstructions An Optimal Control Approach to Find Sparse Data for Laplace Interpolation Optimising Data for PDE-Based Inpainting and Compression High Quality Image Compression Analytic Existence and Uniqueness Results for PDE-Based Image Reconstruction with the Laplacian