Inpainting of Ancient Austrian Frescoes

Wolfgang Baatz, Massimo Fornasier, Peter A. Markowich and and Carola-Bibiane Schönlieb
Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture (2008)
Pages 163–170

Abstract

Digital inpainting methods provide an important tool in the restoration of images in a wide range of applications. We present mathematical methods with certain higher order partial differential equations for the inpainting of ancient frescoes. In particular we discuss the Cahn-Hilliard equation for the inpainting of binary structure and a higher order total variation approach. As an example for the preformance of our algorithms we consider the recently discovered Neidhart frescoes in Vienna. Keywords: Image interpolation, Cahn-Hilliard equation, total variation minimization, fresco restoration

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