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Meyer M, Desbrun M, Schröder P, Barr AH (2002). Computing discrete minimal surfaces and their conjugates. IEEE Transactions on Visualization and Computer Graphics 14(1): 213–230. On Linear Variational Surface Deformation Methods. International Journal of Shape Modeling 11(1):43–62.īotsch M, Sorkine O (2008). Laplacian Framework for Interactive Mesh Editing. Lipman Y, Sorkine O, Alexa M, Cohen-Or D, Levin D, Rössl C, Seidel H-P (2005). Space deformations, surface deformations and the opportunities in-between. Proceedings of the fifth Eurographics symposium on Geometry processing, Aire-la-Ville, Switzerland, Switzerland, Eurographics Association. Proceedings of the 13th annual conference on Computer graphics and interactive techniques, New York, NY, USA, ACM. Free-form deformation of solid geometric models. Johns Hopkins University Press, Baltimore, MD, USA. Numerical Methods for Least Squares Problems. Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing, New York, NY, USA, ACM.ījorck A (1996). Sorkine O, Cohen-Or D, Lipman Y, Alexa M, Rössl C, Seidel H-P (2004).
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Differential coordinates for local mesh morphing and deformation. Creo Elements/Direct Interface for Creo Elements/Pro. We also provide an extensive review of the state-of-the-art direct modeling approaches for 3D mesh-based, freeform surfaces, with an emphasis on the two broad categories of shape deformation algorithms developed in the relevant field of geometric modeling. The proposed system is built upon differential coordinates and constrained least squares, and is intended for conceptual design that involves frequent shape tuning and explorations. In this paper, we describe a novel 3D surface editing system capable of jointly accommodating aesthetic design intentions expressed in the form of surface painting and color-coded annotations, as well as engineering constraints expressed as dimensions. However, current direct modeling packages still lack several capabilities critical for product design, such as managing aesthetic design intentions, and enforcing dimensional, geometric constraints. It has several advantages over the conventional, parametric modeling techniques, including natural user interactions, as well as the underlying, automatic feature-preserving shape deformation algorithms. Direct modeling has recently emerged as a suitable approach for 3D free-form shape modeling in industrial design.