Several statistical image properties have been associated with large subsets of traditional visual artworks. Here, we investigate some of these properties in three categories of art that differ in artistic claim and prestige: (1) Traditional art of different cultural origin from established museums and art collections (oil paintings and graphic art of Western provenance, Islamic book illustration and Chinese paintings), (2) Bad Art from two museums that collect contemporary artworks of lesser importance (? Museum Of Bad Art [MOBA], Somerville, and Official Bad Art Museum of Art [OBAMA], Seattle), and (3) twentieth century abstract art of Western provenance from two prestigious museums (Tate Gallery and Kunstsammlung Nordrhein-Westfalen). We measured the following four statistical image properties: the fractal dimension (a measure relating to subjective complexity); self-similarity (a measure of how much the sections of an image resemble the image as a whole), 1st-order entropy of edge orientations (a measure of how uniformly different orientations are represented in an image); and 2nd-order entropy of edge orientations (a measure of how independent edge orientations are across an image). As shown previously, traditional artworks of different styles share similar values for these measures. The values for Bad Art and twentieth century abstract art show a considerable overlap with those of traditional art, but we also identified numerous examples of Bad Art and abstract art that deviate from traditional art. By measuring statistical image properties, we quantify such differences in image composition for the first time.
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机译：一些统计图像属性已与传统视觉艺术品的大子集相关联。在这里，我们研究了三类艺术的某些特性，这些艺术在艺术主张和声望方面有所不同：（1）来自既有博物馆和艺术收藏品的不同文化渊源的传统艺术（西方起源的油画和图形艺术，伊斯兰图书插图和中国画）;（2）来自两个博物馆的不良艺术作品，这些博物馆收集了次要的当代艺术品（？萨默维尔的不良艺术博物馆[MOBA]和西雅图的官方不良艺术博物馆[OBAMA]，西雅图），以及（20）来自两个著名博物馆（泰特美术馆和诺森·威斯特法伦州艺术博物馆）的世纪起源西方起源抽象艺术。我们测量了以下四个统计图像属性：分形维（与主观复杂度有关的度量）;自相似度（衡量图像的各个部分在整体上与图像的相似程度的度量），边缘方向的一阶熵（衡量图像中不同方向的统一表达的度量）;边缘取向的二阶熵（衡量图像上独立边缘取向的程度的量度）。如前所示，不同风格的传统艺术品在这些措施上具有相似的价值。 Bad Art和20世纪抽象艺术的价值与传统艺术有相当大的重叠，但是我们也发现了Bad Art和抽象艺术的许多实例，它们与传统艺术有所不同。通过测量统计图像的属性，我们首次量化了图像成分的这种差异。
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