Topological Analysis and Approximate Identification of Leading Lines in Artworks Based on Discrete Morse Theory
Fuminori Shibasaki, Issei Fujishiro · 2023
Accomplished artists often incorporate leading lines into their compositions to guide the observer’s attention. Although saliency maps are typically employed to locate attractive regions in still images, such scalar features do not express the trajectory of an observer’s gaze. In this study, we propose a method for the visual analysis and approximate identification of leading lines based on maximum graphs, sparse subsets of Morse–Smale complexes, extracted from saliency maps. We provide empirical evidence substantiating the feasibility of our method through a comparison with actual observers’ eye tracking results. Further, we investigate the limitations of our approach by employing it to analyze a variety of artworks with diverse styles.