ACM SIGGRAPH 2015 Posters 2015
DOI: 10.1145/2787626.2787631
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Form-finding with polyhedral meshes made simple

Abstract: We solve the form-finding problem for polyhedral meshes in a way which combines form, function and fabrication; taking care of userspecified constraints like boundary interpolation, planarity of faces, statics, panel size and shape, enclosed volume, and last, but not least, cost. Our main application is the interactive modeling of meshes for architectural and industrial design. Our approach can be described as guided exploration of the constraint space whose algebraic structure is simplified by introducing aux… Show more

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Cited by 18 publications
(34 citation statements)
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“…Various numerical approaches have been used: constrained minimization, nonlinear least squares, penalty methods, augmented Lagrange methods, and others. For computing polyhedral surfaces, we mention [64], the work by Poranne et al [76,75], the projection method of Bouaziz et al [20], the augmented Lagrangian method of Deng et al [25], and the guided projection method of Tang et al [100]. This list is not exhaustive.…”
Section: Computational Methodologymentioning
confidence: 99%
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“…Various numerical approaches have been used: constrained minimization, nonlinear least squares, penalty methods, augmented Lagrange methods, and others. For computing polyhedral surfaces, we mention [64], the work by Poranne et al [76,75], the projection method of Bouaziz et al [20], the augmented Lagrangian method of Deng et al [25], and the guided projection method of Tang et al [100]. This list is not exhaustive.…”
Section: Computational Methodologymentioning
confidence: 99%
“…Section 2) has been investigated: [86] discuss statics-sensitive quad meshing with planar faces. Equilibrium forces, and the compressive nature of such forces, can however also be incorporated as additional side conditions in the modeling of polyhedral meshes (which is done by [100], see (Section 11)).…”
Section: Further Research Directionsmentioning
confidence: 99%
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“…Song and Fu et al [2013] proposed an interactive method for designing large reciprocal frame structures with many sloping rods. Tang et al [2014] solved geometric and structural form-finding with self-supporting polyhedral meshes for architectural and industrial design. Deuss et al [2014] constructed freeform self-supporting structures by using a sparse set of chains connected to fixed anchor points.…”
Section: Figurementioning
confidence: 99%
“…In recent studies related to graphics, several authors have presented computational methods for self-supporting surfaces [Vouga et al 2012;Panozzo et al 2013;Liu et al 2013;de Goes et al 2013;Tang et al 2014]. To some extent, those methods are based on Thrust Network Analysis (TNA), which was first presented by Block et al [2007], or on discrete Airy potential polyhedral, which was first presented by Fraternali et al [2002;.…”
Section: Introductionmentioning
confidence: 99%