Do any of the known synergies existing between either geography and art or mathematics and art bridge all three of these disciplines? The geo-humanities and the math-humanities literatures describe only these two individual synergies. A new quantitative geography methodology exploits a sophisticated mathematical concept to analyze remotely sensed satellite images, which, when extended to artistic paintings, indeed spans all three disciplines. The organizing concept is spatial autocorrelation, or the tendency for dis/similar colors and their intensities to cluster in paintings. This article summarizes demonstrations of this contention, with specific applications to da Vinci, Monet, and Rembrandt paintings. Its principal contribution is that, for high geographic resolution digital versions of paintings, a replication constructed with judiciously selected and combined spatial autocorrelation components remarkably closely corresponds with a digital copy of its original source, further generalizing certain recent findings reported in the literature.

地理与艺术或数学与艺术之间是否存在任何已知的协同作用，将所有这三个学科联系起来？地理人文和数学人文文献只描述了这两个单独的协同作用。一种新的定量地理学方法利用复杂的数学概念来分析遥感卫星图像，当扩展到艺术绘画时，它确实跨越了所有三个学科。组织概念是空间自相关，或者不相似/相似的颜色及其强度在绘画中聚集的趋势。本文总结了这一论点的论证，并具体应用于达芬奇、莫奈和伦勃朗的画作。它的主要贡献是，对于绘画的高地理分辨率数字版本，