Tilings and patterns
Making papercraft toys from meshes using strip-based approximate unfolding
ACM SIGGRAPH 2004 Papers
ABF++: fast and robust angle based flattening
ACM Transactions on Graphics (TOG)
Plushie: an interactive design system for plush toys
ACM SIGGRAPH 2007 papers
Procedural modeling of structurally-sound masonry buildings
ACM SIGGRAPH Asia 2009 papers
Design of nexorades or reciprocal frame systems with the dynamic relaxation method
Computers and Structures
ACM SIGGRAPH 2010 papers
Paneling architectural freeform surfaces
ACM SIGGRAPH 2010 papers
Triangle surfaces with discrete equivalence classes
ACM SIGGRAPH 2010 papers
Popup: automatic paper architectures from 3D models
ACM SIGGRAPH 2010 papers
Making burr puzzles from 3D models
ACM SIGGRAPH 2011 papers
Shape space exploration of constrained meshes
Proceedings of the 2011 SIGGRAPH Asia Conference
Insitu: sketching architectural designs in context
Proceedings of the 2011 SIGGRAPH Asia Conference
Beady: interactive beadwork design and construction
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Guided exploration of physically valid shapes for furniture design
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Structural optimization of 3D masonry buildings
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
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A reciprocal frame (RF) is a self-supported three-dimensional structure made up of three or more sloping rods, which form a closed circuit, namely an RF-unit. Large RF-structures built as complex grillages of one or a few similar RF-units have an intrinsic beauty derived from their inherent self-similar and highly symmetric patterns. Designing RF-structures that span over large domains is an intricate and complex task. In this paper, we present an interactive computational tool for designing RF-structures over a 3D guiding surface, focusing on the aesthetic aspect of the design. There are three key contributions in this work. First, we draw an analogy between RF-structures and plane tiling with regular polygons, and develop a computational scheme to generate coherent RF-tessellations from simple grammar rules. Second, we employ a conformal mapping to lift the 2D tessellation over a 3D guiding surface, allowing a real-time preview and efficient exploration of wide ranges of RF design parameters. Third, we devise an optimization method to guarantee the collinearity of contact joints along each rod, while preserving the geometric properties of the RF-structure. Our tool not only supports the design of wide variety of RF pattern classes and their variations, but also allows preview and refinement through interactive controls.