--- res: bibo_abstract: - 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.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Kristian foaf_name: Hildebrand, Kristian foaf_surname: Hildebrand - foaf_Person: foaf_givenName: Bernd foaf_name: Bernd Bickel foaf_surname: Bickel foaf_workInfoHomepage: http://www.librecat.org/personId=49876194-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0001-6511-9385 - foaf_Person: foaf_givenName: Marc foaf_name: Alexa, Marc foaf_surname: Alexa bibo_doi: 10.1111/j.1467-8659.2012.03037.x bibo_issue: 2pt3 bibo_volume: 31 dct_date: 2012^xs_gYear dct_publisher: Wiley-Blackwell@ dct_title: 'crdbrd: Shape fabrication by sliding planar slices@' ...