On Automatic Generation of Escher-Like Metamorphosis
Shunsuke Nakamatsu and Chiaki Sakama
in: Proceedings of the 17th International Conference on
Multi-disciplinary Trends in Artificial Intelligence (MIWAI 2018),
Lecture Notes in Artificial Intelligence 15431, Springer-Verlag, pages 419-431, 2024.
Abstract
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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