Unveiling the invisible: mathematical methods for restoring and interpreting illuminated manuscripts

Area of Science:

• Digital Image Processing
• Art History
• Applied Mathematics

Background:

• Mathematical methods for digital image analysis have advanced significantly over 50 years, primarily in photography, biomedical imaging, and engineering.
• The arts domain has been largely overlooked by these advancements, with limited application in the last decade.
• The increasing digitization in the arts necessitates greater attention to digital image processing methods.

Purpose of the Study:

• To discuss mathematical methods for digital image restoration and visualization.
• To explore the application of these methods to illuminated manuscripts.
• To demonstrate the potential of mathematics and digital restoration as an objective toolkit for the arts.

Main Methods:

• Review of mathematical methods for digital image restoration.
• Application of digital image processing techniques for visualization.
• Case study focusing on illuminated manuscripts.

Main Results:

• Illuminated manuscripts present unique opportunities for digital manipulation due to their traditionally untouched physical state.
• Mathematical methods can be effectively applied to restore and visualize digital images of artworks.
• Digital restoration offers a generic and objective toolkit for the arts.

Conclusions:

• Digital image processing offers valuable tools for the analysis and preservation of art.
• Mathematical methods provide an objective approach to art restoration and visualization.
• The integration of digital technologies in the arts is expanding, highlighting the importance of interdisciplinary approaches.