Bayesian crack detection in ultra high resolution multimodal images of paintings

Bruno Cornelis, Yun Yang, Joshua T. Vogelstein, Ann Dooms, Ingrid Daubechies, David Dunson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The preservation of our cultural heritage is of paramount importance. Thanks to recent developments in digital acquisition techniques, powerful image analysis algorithms are developed which can be useful non-invasive tools to assist in the restoration and preservation of art. In this paper we propose a semi-supervised crack detection method that can be used for high-dimensional acquisitions of paintings coming from different modalities. Our dataset consists of a recently acquired collection of images of the Ghent Altarpiece (1432), one of Northern Europe's most important art masterpieces. Our goal is to build a classifier that is able to discern crack pixels from the background consisting of non-crack pixels, making optimal use of the information that is provided by each modality. To accomplish this we employ a recently developed non-parametric Bayesian classifier, that uses tensor factorizations to characterize any conditional probability. A prior is placed on the parameters of the factorization such that every possible interaction between predictors is allowed while still identifying a sparse subset among these predictors. The proposed Bayesian classifier, which we will refer to as conditional Bayesian tensor factorization or CBTF, is assessed by visually comparing classification results with the Random Forest (RF) algorithm.

Original languageEnglish (US)
Title of host publication2013 18th International Conference on Digital Signal Processing, DSP 2013
DOIs
StatePublished - Dec 6 2013
Externally publishedYes
Event2013 18th International Conference on Digital Signal Processing, DSP 2013 - Santorini, Greece
Duration: Jul 1 2013Jul 3 2013

Publication series

Name2013 18th International Conference on Digital Signal Processing, DSP 2013

Other

Other2013 18th International Conference on Digital Signal Processing, DSP 2013
CountryGreece
CitySantorini
Period7/1/137/3/13

Keywords

  • Classification
  • Crack detection
  • Ghent altarpiece
  • Nonparametric Bayes
  • Tensor factorization
  • Variable selection

ASJC Scopus subject areas

  • Signal Processing

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