---
_id: '2079'
abstract:
- lang: eng
text: We introduce an algorithm and representation for fabricating 3D shape abstractions
using mutually intersecting planar cut-outs. The planes have prefabricated slits
at their intersections and are assembled by sliding them together. Often such
abstractions are used as a sculptural art form or in architecture and are colloquially
called ‘cardboard sculptures’. Based on an analysis of construction rules, we
propose an extended binary space partitioning tree as an efficient representation
of such cardboard models which allows us to quickly evaluate the feasibility of
newly added planar elements. The complexity of insertion order quickly increases
with the number of planar elements and manual analysis becomes intractable. We
provide tools for generating cardboard sculptures with guaranteed constructibility.
In combination with a simple optimization and sampling strategy for new elements,
planar shape abstraction models can be designed by iteratively adding elements.
As an output, we obtain a fabrication plan that can be printed or sent to a laser
cutter. We demonstrate the complete process by designing and fabricating cardboard
models of various well-known 3D shapes.
author:
- first_name: Kristian
full_name: Hildebrand, Kristian
last_name: Hildebrand
- first_name: Bernd
full_name: Bernd Bickel
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Marc
full_name: Alexa, Marc
last_name: Alexa
citation:
ama: 'Hildebrand K, Bickel B, Alexa M. crdbrd: Shape fabrication by sliding planar
slices. Computer Graphics Forum. 2012;31(2pt3):583-592. doi:10.1111/j.1467-8659.2012.03037.x'
apa: 'Hildebrand, K., Bickel, B., & Alexa, M. (2012). crdbrd: Shape fabrication
by sliding planar slices. Computer Graphics Forum. Wiley-Blackwell. https://doi.org/10.1111/j.1467-8659.2012.03037.x'
chicago: 'Hildebrand, Kristian, Bernd Bickel, and Marc Alexa. “Crdbrd: Shape Fabrication
by Sliding Planar Slices.” Computer Graphics Forum. Wiley-Blackwell, 2012.
https://doi.org/10.1111/j.1467-8659.2012.03037.x.'
ieee: 'K. Hildebrand, B. Bickel, and M. Alexa, “crdbrd: Shape fabrication by sliding
planar slices,” Computer Graphics Forum, vol. 31, no. 2pt3. Wiley-Blackwell,
pp. 583–592, 2012.'
ista: 'Hildebrand K, Bickel B, Alexa M. 2012. crdbrd: Shape fabrication by sliding
planar slices. Computer Graphics Forum. 31(2pt3), 583–592.'
mla: 'Hildebrand, Kristian, et al. “Crdbrd: Shape Fabrication by Sliding Planar
Slices.” Computer Graphics Forum, vol. 31, no. 2pt3, Wiley-Blackwell, 2012,
pp. 583–92, doi:10.1111/j.1467-8659.2012.03037.x.'
short: K. Hildebrand, B. Bickel, M. Alexa, Computer Graphics Forum 31 (2012) 583–592.
date_created: 2018-12-11T11:55:35Z
date_published: 2012-05-01T00:00:00Z
date_updated: 2021-01-12T06:55:10Z
day: '01'
doi: 10.1111/j.1467-8659.2012.03037.x
extern: 1
intvolume: ' 31'
issue: 2pt3
month: '05'
page: 583 - 592
publication: Computer Graphics Forum
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4959'
quality_controlled: 0
status: public
title: 'crdbrd: Shape fabrication by sliding planar slices'
type: journal_article
volume: 31
year: '2012'
...