Drawing on a Skating Rink
Douglas Dwyer

Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture
Pages 91–98
Regular Papers

Abstract

We develop a methodology for placing line drawings within the three-dimensional space of an ice rink as captured by a photographer or an artist. We show that historical paintings and prints of ice skaters are consistent with an implication of rectilinear perspective. As a result, the same approach can be applied to historical artworks. The approach is contrasted with another algorithmic approach for placing many images in a frame and capturing a sense of depth. By making an assumption on the angle of view of the image, one can estimate the distance of different skaters from the camera. As an application, we draw multiple images in the space of the skating rink and animate them.

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