--- _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' ...