Flexible mesh morphing in sustainable design using data mining and mesh subdivision

Abstract As a representative method of model surface, triangular mesh, which commonly has the stereo lithography (STL) format, has recently been widely applied in the CAD/CAE/CAM field, due to its superior robustness and high efficiency in tool-path generation. 3D product model optimization is of great importance for improvement of function, reduction of production material, and improvement of the company’s competition. Based on the circumstance of 3D modeling, simulation and optimization technologies, developing a more sustainable product and process become possible. However, there are many situations of the morphing, which are hard to be uniformed. Thus, developing a commonly used data-driven morphing method is difficult. In this paper, morphing situations are categorized into two classes, the algebraic morphing and the free-form morphing. Algebraic morphing patterns are developed, which can be adopted independently or combined together to complete complicated morphing operations. In the free-form morphing, control points are obtained by data mining, and then mesh subdivision is applied to refine surfaces smoothly. The proposed morphing method is applied to a truss core panel and a human head model, clarifying the robust function and high efficiency of the method proposed in this study to deal with complex 3D product model sustainable optimization.

[1]  Jiang Zhu,et al.  Multi-Resolution Mesh for Sculptured Surface Machining , 2007 .

[2]  Leif Kobbelt,et al.  Real‐Time Shape Editing using Radial Basis Functions , 2005, Comput. Graph. Forum.

[3]  Souheil-Antoine Tahan,et al.  Uniform scanning path generation for abrasive waterjet polishing of free-form surfaces modeled by triangulated meshes , 2015 .

[4]  Ichiro Hagiwara,et al.  A Simulation Approach to Improve Forming Limitation of Truss Core Panel , 2011 .

[5]  Yongjie Zhang,et al.  Hexagon-Based All-Quadrilateral Mesh Generation with Guaranteed Angle Bounds , 2010, IMR.

[6]  Guoliang Xu,et al.  Localized discrete Laplace-Beltrami operator over triangular mesh , 2015, Comput. Aided Geom. Des..

[7]  Mohamed S. Ebeida,et al.  Guaranteed-Quality All-Quadrilateral Mesh Generation with Feature Preservation , 2009, IMR.

[8]  Lin Yang,et al.  A Methodology Based on Mesh Morphing Algorithm and Improved Tabu Algorithm for Non-linear Inverse Scattering , 2015, IEEE Transactions on Magnetics.

[9]  Min Sun,et al.  On the reconstruction of three-dimensional complex geological objects using Delaunay triangulation , 2004, Future Gener. Comput. Syst..

[10]  Silvio Merazzi,et al.  Virtual engineering of multi-disciplinary applications and the significance of seamless accessibility of geometry data , 2000, Future Gener. Comput. Syst..

[11]  S.L. Ho,et al.  A Novel Mesh Morphing Technique for Large Shape Deformation and Its Application to Optimal Design Problems , 2013, IEEE Transactions on Magnetics.

[12]  Ian A Sigal,et al.  Morphing methods to parameterize specimen-specific finite element model geometries. , 2010, Journal of biomechanics.

[13]  Guoliang Xu,et al.  Isogeometric analysis based on extended Loop's subdivision , 2015, J. Comput. Phys..

[14]  Yongjie Zhang,et al.  An octree-based dual contouring method for triangular and tetrahedral mesh generation with guaranteed angle range , 2013, Engineering with Computers.

[15]  Mark Meyer,et al.  Discrete Differential-Geometry Operators for Triangulated 2-Manifolds , 2002, VisMath.

[16]  Tayfun E. Tezduyar,et al.  Space–time SUPG finite element computation of shallow-water flows with moving shorelines , 2011 .

[17]  Min Chen,et al.  Volume Deformation via Scattered Data Interpolation , 2007, VG@Eurographics.

[18]  Sunao Tokura,et al.  A Study for the Influence of Work Hardening on Bending Stiffness of Truss Core Panel , 2010 .

[19]  Ju Young Kang,et al.  Mesh-based morphing method for rapid hull form generation , 2010, Comput. Aided Des..

[20]  Paul J. Rullkoetter,et al.  Development of subject-specific and statistical shape models of the knee using an efficient segmentation and mesh-morphing approach , 2010, Comput. Methods Programs Biomed..

[21]  P. Gu,et al.  A reverse engineering system for rapid manufacturing of complex objects , 2002 .