Mathematical approaches for virtual art restoration

53 mins 28 secs,  776.44 MB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.93 Mbits/sec
Share this media item:
Embed this media item:


About this item
Image inherited from collection
Description: Schönlieb, C
Wednesday 29th November 2017 - 11:30 to 12:10
 
Created: 2017-12-01 09:51
Collection: Growth form and self-organisation
Publisher: Isaac Newton Institute
Copyright: Schönlieb, C
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: Virtual image restoration, also called image inpainting, denotes the process whereby missing or occluded parts in images are filled in based on the information provided by the intact parts of the image. In this talk I will sketch and motivate different mathematical principles that can guide a digital restoration attempt. Digital photographs of art pieces are essentially mathematical objects, and this puts the vast toolbox of mathematics at the restorers’ fingertips. We will encounter the role of differential equations and patch-based methods for virtually restoring structure, texture and colour in images. In particular, we will show examples from the restoration of the Neidhart frescoes (Tuchlauben, Vienna), the restoration of a painting by Sebastiano Del Piombo (the Hamilton Kerr Institute, The Fitzwilliam Museum), and the unearthing of hidden structures in illuminated manuscripts revealed by infrared imaging (the MINIARE project, the Fitzwilliam Museum). After a critical discussion of restoration results I will conclude by pointing out the capabilities and limitations of digital restoration methods, and provide some hints towards applications of such mathematical approaches that go beyond the restoration of arts – such as medicine, forensics and geography.
Available Formats
Format Quality Bitrate Size
MPEG-4 Video * 640x360    1.93 Mbits/sec 776.44 MB View Download
WebM 640x360    800.49 kbits/sec 313.57 MB View Download
iPod Video 480x270    522.27 kbits/sec 204.52 MB View Download
MP3 44100 Hz 249.8 kbits/sec 97.92 MB Listen Download
Auto (Allows browser to choose a format it supports)