Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30011
A Study on Applying 3D Reconstruction to 3D Last Morphing

Authors: Shih-Wen Hsiao, Rong-Qi Chen, Chien-Yu Lin


When it comes to last, it is regarded as the critical foundation of shoe design and development. A computer aided methodology for various last form designs is proposed in this study. The reverse engineering is mainly applied to the process of scanning for the last form. Then with the minimum energy for revision of surface continuity, the surface reconstruction of last is rebuilt by the feature curves of the scanned last. When the surface reconstruction of last is completed, the weighted arithmetic mean method is applied to the computation on the shape morphing for the control mesh of last, thus 3D last form of different sizes is generated from its original form feature with functions remained. In the end, the result of this study is applied to an application for 3D last reconstruction system. The practicability of the proposed methodology is verified through later case studies.

Keywords: Reverse engineering, Surface reconstruction, Surface continuity, Shape morphing.

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF


[1] A. Luximon, Y. Luximon. Shoe-last design innovation for better shoe fitting. Computers in Industry, 60 (2009), 621-628.
[2] C.S. Wang. An analysis and evaluation of fitness for shoe lasts and human feet. Computers in Industry, 61 (2010), 532-540.
[3] Y. Ke, S. Fan, W. Zhu, A. Li, F. Liu, X. Shi. Feature-based reverse modeling strategies. Computer-Aided Design, 38 (2006), 485-506.
[4] M. Nieser, C. Schulz, K. Polthier. Patch layout from feature graphs. Computer-Aided Design, 42 (2010), 213-220.
[5] Y. Ke, W. Zhu, F. Liu, X. Shi. Constrained fitting for 2D profile-based reverse modeling. Computer-Aided Design, 38 (2006), 101-114.
[6] H. Park, K. Kim. Smooth surface approximation to serial cross-sections. Computer-Aided Design, 28 (1996), 995-1005.
[7] C.F. Borges, T. Pastva. Total least squares fitting of Bezier and B-spline curves to ordered data. Computer Aided Geometric Design, 19 (2002), 275-289.
[8] P. Kiciak. Bicubic B-spline blending patches with optimized shape. Computer-Aided Design, 43 (2011), 133-144.
[9] H. Park. Lofted B-spline surface Interpolation by linearly constrained energy minimization. Computer-Aided Design, 35 (2003), 1261-1268.
[10] H. Park. B-spline surface fitting based on adaptive knot placement using dominant columns. Computer-Aided Design, 43 (2011), 258-264.
[11] H. Park, K. Kim, S.C. Lee. A method for approximate NURBS curve compatibility based on multiple curve refitting. Computer-Aided Design, 32 (2000), 237-252.
[12] H. Pottmann, S. Leopoldseder. A concept for parameter surface fiting which avoids the parametrization problem. Computer Aided Geometric Design, 20 (2003), 343-362.
[13] H. Yang, W. Wang, J. Sun. Control point adjustment for B-spline curve approximation. Computer-Aided Design, 36 (2004), 639-652.
[14] F. Yoshimoto, T. Harada, Y. Yoshimoto. Data fitting with a spline using a real-coded genetic algorithm. Computer-Aided Design, 35 (2003), 751-760.
[15] D.Y. Cho, K.Y. Lee, T.W. Kim. Interpolating G1 Bezier surfaces over irregular curve networks for ship hull design. Computer-Aided Design, 38 (2006), 641-660.
[16] J. Fan, J. Peters. Smooth Bi-3 spline surfaces with fewest knots. Computer-Aided Design, 43 (2011), 180-187.
[17] K.C. Hui. Shape blending of curves and surfaces with geometric continuity. Computer-Aided Design, 31 (1999), 819-828.
[18] H. Lin, W. Chen, H. Bao. Adaptive patch-based mesh fitting for reverse engineering. Computer-Aided Design, 39 (2007), 1134-1142.
[19] M.J. Milroy, C. Bradley, G.W. Vickers, D.J. Weir. G1 continuity of B-spline surface patches in reverse engineering. Computer-Aided Design, 27 (1995), 471-478.
[20] J.Y. Li, W.D. Ueng. G2 continuity for multiple surfaces fitting. Advanced Manufacturing Technology, 17 (2001), 575-585.
[21] W.K. Wang, H. Zhang, H. Park, J.H. Yong, J.C. Paul. Reducing control points in lofted B-spline surface Interpolation using common knot vector determination. Computer-Aided Design, 40 (2008), 999-1008.
[22] S.W. Hsiao, J.C. Chuang. A Reverse Engineering Based Approach for Product Form Design. Design Studies, 24 (2003), 155-171.
[23] K.C. Hui, Y. Li. A feature-based shape blending technique for Industrial design. Computer-Aided Design, 10 (1998), 823-834.