Partial differential equation methods for image inpainting

by Schönlieb, Carola-Bibiane

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Title Statements

Full title :Partial differential equation methods for image inpainting / Carola-Bibiane Schönlieb, University of Cambridge.

Edition Statements

Publication Date:2015.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:New York, NY
Language:eng
Publication Date:2015.

The Physical Object

Description:x, 254 pages ; : 24 cm.

Edition Identifiers

ISBN:9781107001008, 1107001005
oclc:ocn907948437
LC Classification:TA1637.5
Dewey Decimal:006.601/515353

1.Introduction -- 1.1.Digital Image Restoration in Modern Society -- 1.2.What is a Digital Image? -- 1.3.Image Inpainting -- 2.Overview of Mathematical Inpainting Methods -- 2.1.Variational and PDE Methods -- 2.2.Structure Versus Texture Inpainting -- 2.3.Inpainting of Colour Images -- 2.4.Video Inpainting -- 3.The Principle of Good Continuation -- 3.1.Gestalt Theory -- 3.2.Kanizsa's Amodal Completion -- 4.Second-Order Diffusion Equations for Inpainting -- 4.1.An Axiomatic Approach to Image Inpainting -- 4.2.Harmonic Image Inpainting -- 4.3.Total Variation Inpainting -- 4.4.Absolutely Minimising Lipschitz Extensions -- 4.5.Further Reading and Some Extensions -- 5.Higher-Order PDE Inpainting -- 5.1.Second- Versus Higher-Order Approaches -- 5.2.Curvature-Based Inpainting -- 5.3.Cahn-Hilliard and TV-H -- 1 Inpainting -- 5.4.Low Curvature Image Simplifiers -- 5.5.Second-Order Total Variation Inpainting -- 5.6.Further Reading and Some Extensions -- 6.Transport Inpainting -- 6.1.Inpainting by Transport Along Level Lines -- 6.2.Inpainting with Coherence Transport -- 6.3.GuideFill: Fast Artist-Guided Transport Inpainting -- 7.The Mumford-Shah Image Model for Inpainting -- 7.1.Inpainting w…

Subjects

Differential Equations, Partial Differential equations, Partial -- Nume… digital imaging Équations aux dérivées partielles Image processing -- Digital techniques Image reconstruction -- Mathematical mo… Reconstruction d'image -- Modèles mathé… Traitement d'images -- Techniques numér…