The skin model, a comprehensive geometric model for engineering design

Abstract The modelling of product shapes and dimensions is now largely supported by geometric modelling tools. However, the underlying geometrical variations cannot be addressed efficiently when covering the overall product life cycle. The fundamental concept of skin model has been developed as an alternative to the nominal model and covers geometric deviations that are expected, predicted or already observed in real manufacturing processes. This paper investigates the fundamentals of the skin model at a conceptual, geometric and computational level. Representation and simulation issues for product design are presented. Finally, applications and perspectives are highlighted.

[1]  ARISTIDES A. G. REQUICHA,et al.  Representations for Rigid Solids: Theory, Methods, and Systems , 1980, CSUR.

[2]  Aristides A. G. Requicha,et al.  Toward a Theory of Geometric Tolerancing , 1983 .

[3]  K. Mardia,et al.  Statistical Shape Analysis , 1998 .

[4]  Rikard Söderberg,et al.  The Effects of Geometrical Variation on Perceived Quality - A Close Look at the Concept of Visual Robustness , 2009 .

[5]  Vijay Srinivasan.  Computational Metrology for the Design and Manufacture of Product Geometry: A Classification and Synthesis , 2007, J. Comput. Inf. Sci. Eng..

[6]  Sandro Wartzack,et al.  Discrete shape modeling for skin model representation , 2013 .

[7]  Karl Pearson F.R.S..  LIII. On lines and planes of closest fit to systems of points in space , 1901 .

[8]  Rajit Gadh,et al.  Virtual and Augmented Reality Technologies for Product Realization , 1999 .

[9]  Min Chen,et al.  Over Two Decades of Integration‐Based, Geometric Flow Visualization , 2010, Comput. Graph. Forum.

[10]  Sandro Wartzack,et al.  VIRTUAL ASSEMBLY ANALYSIS: STANDARD TOLERANCE ANALYSIS COMPARED TO MANUFACTURING SIMULATION AND RELATIVE POSITIONING , 2010 .

[11]  Andrew Y. C. Nee,et al.  Augmented reality applications in design and manufacturing , 2012 .

[12]  Nabil Anwer,et al.  Curvature-based Registration and Segmentation for Multisensor Coordinate Metrology , 2013 .

[13]  A. McNair.  THE HALF-LIFE OF VANADIUM-50 , 1961 .

[14]  D. Kendall.  The diffusion of shape , 1977, Advances in Applied Probability.

[15]  Manfredo P. do Carmo,et al.  Differential geometry of curves and surfaces , 1976 .

[16]  Frank P. Ferrie,et al.  Darboux Frames, Snakes, and Super-Quadrics: Geometry from the Bottom Up , 1993, IEEE Trans. Pattern Anal. Mach. Intell..

[17]  Sandro Wartzack,et al.  A Comprehensive Framework for Skin Model Simulation , 2012 .

[18]  Rainer Stark,et al.  New potentials for virtual product creation by utilizing grid technology , 2009 .