Evaluation of interpolation methods for generating maps in cultural heritage chemical applications

Abstract

The different non-invasive techniques that have been developed for the study of works of art in Cultural Heritage have become an indispensable tool for researchers and practitioners. In particular, the creation of images showing the spatial distribution of chemical elements and pigments, called maps, helps give a better understanding of the artwork. While high-cost devices can measure the artwork at many positions with high resolution, the cheapest and most common devices are often used manually producing a small number of measurements. The solution is to use interpolation methods. In this article we present a sta- tistical study of the feasibility of using interpolation, we discuss the accuracy of the results and propose the best solutions and a scheme of work. Additionally, we provide all the data developed and programs for future use.