Delaunay Lofts: A New Class of Space-Filling Shapes Conference Paper

abstract

• 2019 Copyright held by the owner/author(s). We have developed an approach to construct and design a new class of space-filling shapes, which we call Delaunay Lofts. Our approach is based on interpolation of a stack of planar tiles whose dual tilings are Delaunay diagrams. We construct control curves that interpolate Delaunay vertices. Voronoi decomposition of the volume using these control curves as Voronoi sites gives us lofted interpolation of original polygons in planar tiles. This, combined with the use of wallpaper symmetries allows for the design of space-filling shapes in 3-space. In the poster exhibition, we will also demonstrate 3D printed examples of the new class of shapes (See Figures 1 and 3).

name of conference

• ACM SIGGRAPH 2019 Posters

authors

• Akleman, Ergun
• Krishnamurthy, Vinayak

published proceedings

• SIGGRAPH '19 - ACM SIGGRAPH 2019 POSTERS

altmetric score

• 3

author list (cited authors)

• Subramanian, S. G., Eng, M., Krishnamurthy, V., & Akleman, E.

citation count

• 0

complete list of authors

• Subramanian, Sai Ganesh||Eng, Mathew||Krishnamurthy, Vinayak||Akleman, Ergun

publication date

• July 2019

publisher

• Association for Computing Machinery (ACM)  Publisher

keywords

• Delaunay Diagrams
• Lofting
• Space Filling Shapes
• Voronoi Decomposition

Digital Object Identifier (DOI)

• 10.1145/3306214.3338576

International Standard Book Number (ISBN) 13

• 9781450363143

start page

• 1

end page

• 2

URL

• http://dx.doi.org/10.1145/3306214.3338576