Geometric art, an artwork that is structured by geometric shapes, was first made popular by the introduction of Cubism paintings by Pablo Picasso and Georges Braque in the early-20th-century. With the recent advancement in digital imaging technology coupled with the rising popularity of social media such as Instagram, automatic geometric abstraction that can automatically transform a photograph into a piece of geometric art starts to gain research attention. Several state-of-the-art works have been proposed. Notably, despite the fact that Cubism artworks by renown artists illustrate the importance of the main subject in a painting to be recognizable and should be given more detailed representation, most of the state-of-the-art abstraction algorithms are not subject-focused. In this paper, we present Pic2PolyArt, a unified subject-focused geometric abstraction framework that can support both triangle-based and polygon-based abstraction. Given an input photograph, our proposed algorithm first identifies the main subject and important features of an image with a combination of saliency, edge, and face detection techniques. It then generates a set of seed points that are used by Delaunay Triangulation and Voronoi Tessellation to generate triangle-based and polygon-based geometric abstraction respectively. Results from qualitative evaluation on benchmark dataset and empirical user studies demonstrate the effectiveness of our proposed abstraction framework in generating pleasant geometric abstraction from photographs and provide insightful knowledge on users preference with regards to the type of polygons and the level of abstraction used to represent the resulting geometric art.

几何艺术是一种由几何形状构成的艺术品，最早是在20世纪初期通过介绍Pablo Picasso和Georges Braque的立体主义绘画而广受欢迎的。随着数字成像技术的最新发展以及Instagram等社交媒体的日益普及，可以将照片自动转换为几何艺术的自动几何抽象开始受到研究关注。已经提出了一些最先进的作品。值得注意的是，尽管事实上知名艺术家的立体主义艺术品说明了绘画中主要主题的重要性，并且应该对其进行更详细的描述，但是大多数最新的抽象算法并不是针对主题的。在本文中，我们介绍了Pic2PolyArt，一个统一的以主题为中心的几何抽象框架，可以支持基于三角形和基于多边形的抽象。给定输入照片，我们提出的算法首先结合显着性，边缘和面部检测技术来识别图像的主要主题和重要特征。然后，它生成一组种子点，Delaunay三角剖分和Voronoi Tessellation使用它们分别生成基于三角形和基于多边形的几何抽象。