In this paper, we describe the development and use of PhotoFrac, an application that allows artists and designers to turn digital images into fractal patterns interactively. Fractal equations are a rich source of procedural texture and detail, but controlling the patterns and incorporating traditional media has been difficult. Additionally, the iterative nature of fractal calculations makes implementation of interactive techniques on mobile devices and web apps challenging. We overcome these problems by using an image coordinate based orbit trapping technique that permits a user-selected image to be embedded into the fractal. Performance challenges are addressed by exploiting the processing power of graphic processing unit (GPU) and precomputing some intermediate results for use on mobile devices. This paper presents results and qualitative analyses of the tool by four artists (the authors) who used the PhotoFrac application to create new artworks from original digital images. The final results demonstrate a fusion of traditional media with algorithmic art.

中文翻译：

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使用PhotoFrac进行分形图像编辑

在本文中，我们描述了PhotoFrac的开发和使用，该应用程序允许艺术家和设计师将数字图像交互式地转换为分形图案。分形方程是程序纹理和细节的丰富来源，但是控制模式和整合传统媒体一直很困难。此外，分形计算的迭代性质使在移动设备和Web应用程序上实现交互式技术具有挑战性。我们通过使用基于图像坐标的轨道捕获技术克服了这些问题，该技术可以将用户选择的图像嵌入到分形中。通过利用图形处理单元（GPU）的处理能力并预先计算一些中间结果以在移动设备上使用，可以解决性能挑战。本文介绍了使用该PhotoFrac应用程序从原始数字图像创建新作品的四位艺术家（作者）对该工具的结果和定性分析。最终结果证明了传统媒体与算法艺术的融合。