2014
DOI: 10.1145/2601097.2601189
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An asymptotic numerical method for inverse elastic shape design

Abstract: Inverse shape design for elastic objects greatly eases the design efforts by letting users focus on desired target shapes without thinking about elastic deformations. Solving this problem using classic iterative methods (e.g., Newton-Raphson methods), however, often suffers from slow convergence toward a desired solution. In this paper, we propose an asymptotic numerical method that exploits the underlying mathematical structure of specific nonlinear material models, and thus runs orders of magnitude faster th… Show more

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Cited by 80 publications
(76 citation statements)
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“…In parallel, numerous computational methods have been devised for fabricating shapes with desired geometric (e.g., [Chen et al 2014]), physical (e.g., [Bickel et al 2010;Stava et al 2012;Skouras et al 2013]) and reflectance properties (e.g., [Weyrich et al 2009;Lan et al 2013]). Perhaps equally important as the shape fabrication are methods that color the surface of a fabricated piece Figure 1: Colorful Bunny.…”
Section: Introductionmentioning
confidence: 99%
“…In parallel, numerous computational methods have been devised for fabricating shapes with desired geometric (e.g., [Chen et al 2014]), physical (e.g., [Bickel et al 2010;Stava et al 2012;Skouras et al 2013]) and reflectance properties (e.g., [Weyrich et al 2009;Lan et al 2013]). Perhaps equally important as the shape fabrication are methods that color the surface of a fabricated piece Figure 1: Colorful Bunny.…”
Section: Introductionmentioning
confidence: 99%
“…This approach is better justified physiologically, because human bodies naturally grow in a gravitational field. One complication is that we would ultimately have to cancel the effect of gravity before simulation [Chen et al 2014], because simulation reintroduces gravity along with other effects such as inertia. We prefer to avoid these complications by decoupling the effects of growth and gravity.…”
Section: Fat Growthmentioning
confidence: 99%
“…Simulation based optimization has been widely applied to make sure the fabricated object possesses the desired structural robustness [25][26][27], kinematic constraints [28,29], and deformable behavior [30][31][32]. There are also many contributions trying to unify the simulation and the design processing.…”
Section: Related Workmentioning
confidence: 99%