Mathematical data analysis methods for cultural heritage

艺术和人文学科数据库和收藏品的数字化处理、分析和存档正变得越来越重要。这是因为数字化开辟了无数的可能性，远远超出了实际物理对象的组织和操作，例如，允许创建可以根据几个参数进行搜索的数字数据库（关键词），对原始物体无破坏性的物体的数字处理和分析，以及应用自动算法，通过将新发现的对象分类到数据库中的预定义组中，将它们分类到现有的数字数据库中。这些可能性与数据科学的不断发展密切相关，数据科学正在开发用于分析和处理数字数据的数学方法。在这个博士项目中，华莱士将为文化遗产中的一些具有挑战性的问题开发数学数据分析解决方案，包括绘画，壁画和插图手稿的数字分析和修复，以及自动组织和分析文化遗产对象，如绘画和历史纸的横截面。

The digital processing, analysis and archiving of databases and collections in the arts and humanities is becoming increasingly important. This is because of a myriad of possibilities that digitisation opens up that go well beyond the organisation and manipulation of the actual physical objects, allowing, for instance, the creation of digital databases that are searchable with respect to several parameters (keywords), the digital processing and analysis of objects that are non-destructive to the original object, and the application of automated algorithms for sorting newly found objects into existing digital databases by classifying them into pre-defined groups in the database. These possibilities go hand-in-hand with ever-growing advances in data science that are developing mathematical methodology for analysing and processing digital data.In this PhD project Wallace will develop mathematical data analysis solutions for a selection of challenging asks in cultural heritage, including the digital analysis and restoration of paintings, frescoes and illuminated manuscripts, and the automated organisation and analysis of cultural heritage objects such as cross-sections of paint and historical paper.