Multi-directional blending for heterogeneous objects |
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Authors: | Ibrahim T. Ozbolat Bahattin Koc |
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Affiliation: | aMechanical and Industrial Engineering Department, The University of Iowa, 2130 Seamans Center, Iowa City, IA 52242, USA;bCenter for Computer-aided Design, The University of Iowa, 216 Engineering Research Facility, Iowa City, IA 52242, USA;cFaculty of Engineering and Natural Sciences, Sabanci University, FENS G013, Orhanli-Tuzla, Istanbul, 34956, Turkey;dIndustrial and Systems Engineering Department, University at Buffalo (SUNY), 438 Bell Hall, Buffalo, NY 14260, USA |
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Abstract: | This paper presents a novel multi-directional blending method for heterogeneous object design. Contrary to earlier studies, this paper introduces material blending through multiple features with different heterogeneous material composition. Feature-based method is used to represent and design heterogeneous objects with multi-directional material composition. The Voronoi diagram of multiple curves is constructed to generate bisector of the geometric domain. Then, metamorphosis from the bounding curve to multiple internal curves is performed using dynamic programming based optimization approach in two steps. First, optimum curve matching between internal curves and enclosing Voronoi cells is obtained. Then, an optimum ruling line alignment and insertion technique between the Voronoi diagram and the bounding curve is developed. Metamorphosis through complex concavities is also achieved. Finally, multi-directional material composition is mapped based on a set of relations. |
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Keywords: | Heterogeneous object design Multi-directional blending Curve matching Voronoi diagram |
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