Spiral Based Point Cloud Representations of Sculptures
Douglas Dwyer

Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture
Pages 213–220
Regular Papers

Abstract

Boundary representations of sculptures and other 3D objects are now widely available and useful for both 3D printing and digital rendering. I present an approach to transform such representations into a point cloud representation where the points are organized using a 3D spiral. This representation is then used to create a function that returns a point on the surface of the object using height and angle as the inputs. Such a function facilitates making drawings of 3D objects, transforming them and placing a two dimensional design onto their surface.

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