The Escherization problem seeks a tiling for an input plane figure S with a new tile figure T such that T is as close as possible to S. In this study, we conduct an automatic generation of Escher-like “Metamorphosis”. More precisely, an input image is represented as a polygon and is divided into triangles, which are related to those of a tile image. We produce tile images using an affine transformation and introduce conditions for connecting those images. As a result of experiments, we succeed in partly simulating Escher’s Metamorphosis and also produce new Metamorphoses using color images.

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On Automatic Generation of Escher-Like Metamorphosis

  • Shunsuke Nakamatsu,
  • Chiaki Sakama

摘要

The Escherization problem seeks a tiling for an input plane figure S with a new tile figure T such that T is as close as possible to S. In this study, we conduct an automatic generation of Escher-like “Metamorphosis”. More precisely, an input image is represented as a polygon and is divided into triangles, which are related to those of a tile image. We produce tile images using an affine transformation and introduce conditions for connecting those images. As a result of experiments, we succeed in partly simulating Escher’s Metamorphosis and also produce new Metamorphoses using color images.