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ACM SIGGRAPH 2004 Papers
Geometric modeling with conical meshes and developable surfaces
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Paper craft models from meshes
The Visual Computer: International Journal of Computer Graphics
Plushie: an interactive design system for plush toys
ACM SIGGRAPH 2007 papers
ACM SIGGRAPH 2007 papers
Geometry of multi-layer freeform structures for architecture
ACM SIGGRAPH 2007 papers
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Papercraft Models using Generalized Cylinders
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ACM SIGGRAPH 2010 papers
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GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Paneling architectural freeform surfaces
ACM SIGGRAPH 2010 papers
Triangle surfaces with discrete equivalence classes
ACM SIGGRAPH 2010 papers
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SIGGRAPH Asia 2011 Sketches
Beady: interactive beadwork design and construction
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Rationalization of Triangle-Based Point-Folding Structures
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ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Designing unreinforced masonry models
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
ACM Transactions on Graphics (TOG)
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This paper introduces a method for optimizing the tiles of a quad-mesh. Given a quad-based surface, the goal is to generate a set of K quads whose instances can produce a tiled surface that approximates the input surface. A solution to the problem is a K-set tilable surface, which can lead to an effective cost reduction in the physical construction of the given surface. Rather than molding lots of different building blocks, a K-set tilable surface requires the construction of K prefabricated components only. To realize the K-set tilable surface, we use a cluster-optimize approach. First, we iteratively cluster and analyze: clusters of similar shapes are merged, while edge connections between the K quads on the target surface are analyzed to learn the induced flexibility of the K-set tilable surface. Then, we apply a non-linear optimization model with constraints that maintain the K quads connections and shapes, and show how quad-based surfaces are optimized into K-set tilable surfaces. Our algorithm is demonstrated on various surfaces, including some that mimic the exteriors of certain renowned building landmarks.