A computer aided design method for car form and its application based on shape parameters

Abstract

In the early design stage, automotive modeling should both meet the requirements of aesthetics and engineering. Therefore, a vehicle CAD (computer aided design) model that can be easily adjusted by feedbacks is necessary. Based on CE-Bézier surface, this paper presents a set of algorithms for parametric segmentation and fairing surface generation in a car model. This model is defined by a simplified automotive template and relevant control points, shape parameters and segmentation parameters, which can be modified to alter the car form efficiently. With this model and the corresponding adjustment method, more than fifty various vehicle models are established in this research according to different parameters. And two methods for calculating similarity index between car models are constructed, which are suitable for brand design trend analysis and modelling design decisionmaking.

Keywords

CAD / car form design / parametric adjustment / CE-Bézier surface / form similarity

References

[1] Bodein Y, Rose B, Caillaud E. A roadmap for parametric CAD efficiency in the automotive industry. Computer-Aided Design, 2013, 45: 1198–1214

[2] Vignesh R, Suganthan R, Prakasan K. Development of CAD models from sketches: a case study for automotive applications. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2007, 221(1): 41–47

[3] Hsiao S W, Tsai H C. Applying a hybrid approach based on fuzzy neural network and genetic algorithm to product form design. International Journal of Industrial Ergonomics, 2005, 35: 411–428

[4] Ostrosi E, Bluntzer J B, Zhang Z, Stjepandić J. Car style-holon recognition in computer-aided design. Journal of Computational Design and Engineering, 2019, 6(4): 719–738

[5] Hsiao S W, Chiu F Y, Lu S H. Product-form design model based on genetic algorithms. International Journal of Industrial Ergonomics, 2010, 40: 237–246

[6] Liu F, Chen C, Long G. Study on the gene design of yacht side view shape based on shipowners’ expectation images. Revista de la Facultad de Ingeniería, 2017, 32(8): 351–359

[7] Xiong Y, Li Y, Pan P, Chen Y. A regression-based Kansei engineering system based on form feature lines for product form design. Advances in Mechanical Engineering, 2016, 8(7): 1–12

[8] Ranscombe C, Hicks B, Mullineux G, Singh B. Visually decomposing vehicle images: exploring the influence of different aesthetic features on consumer perception of brand. Design Studies, 2012, 33(4): 319–341

[9] Chang Y M, Chen C W. Kansei assessment of the constituent elements and the overall interrelations in car steering wheel design. International Journal of Industrial Ergonomics, 2016, 56: 97–105

[10] Luo S J, Fu Y T, Zhou Y X. Perceptual matching of shape design style between wheel hub and car type. International Journal of Industrial Ergonomics, 2012, 42: 90–102

[11] Cluzel F, Yannou B, Dihlmann M. Using evolutionary design to interactively sketch car silhouettes and stimulate designer’s creativity. Engineering Applications of Artificial Intelligence, 2012, 25: 1413–1424

[12] Hyun K H, Lee J H, Kim M, Cho S. Style synthesis and analysis of car designs for style quantification based on product appearance similarities. Advanced Engineering Informatics, 2015, 29: 483–494

[13] Xu J, Liu W, Wu J, Bian H, Li L. Geometric algorithm for point projection and inversion onto Bézier surfaces. Frontiers of Computer Science, 2009, 3(4): 472–476

[14] Liang H B, Wang Y Z, Li X. Implementation of an adaptive feed speed 3D NURBS interpolation algorithm. Frontiers of Mechanical Engineering, 2006, 4: 403–408

[15] Hu G, Wu J, Qin X. A novel extension of the Bézier model and its applications to surface modeling. Advances in Engineering Software, 2018, 125: 27–54

[16] Han X A, Ma Y, Huang X. The cubic trigonometric Bézier curve with two shape parameters. Applied Mathematics Letters, 2009, 22: 226–231

[17] Han X A, Huang X, Ma Y. Shape analysis of cubic trigonometric Bézier curves with a shape parameter. Applied Mathematics and Computation, 2010, 217: 2527–2533

[18] Han X, Ma Y, Huang X. Shape modification of cubic Quasi-Bézier curve. Journal of Xi’an Jiaotong University (in Chinese), 2007, 41(8): 903–906

[19] Qin X, Hu G, Zhang S. New extension of cubic Bézier curve and its applications. Computer Engineering and Applications (in Chinese), 2008, 44(2): 112–115

[20] Hu G, Wu J, Qin X. A new approach in designing of local controlled developable H-Bézier surfaces. Advances in Engineering Software, 2018, 121: 26–38

[21] Li H, Qin X, Zhao D, Chen J, Wang P. An improved empirical mode decomposition method based on the cubic trigonometric B-spline interpolation algorithm. Applied Mathematics and Computation, 2018, 332: 406–419

[22] Nazir T, Abbas M, Ismail A I M, Majid A A, Rashid A. The numerical solution of advection–diffusion problems using new cubic trigonometric B-splines approach. Applied Mathematical Modelling, 2016, 40: 4586–4611

[23] Zhu Y, Han X. A class of αβγ-Bernstein-Bézier basis functions over triangular domain. Applied Mathematics and Computation, 2013, 220: 446–454

[24] Hu G, Cao H, Zhang S, Wei G. Developable Bézier-like surfaces with multiple shape parameters and its continuity conditions. Applied Mathematical Modelling, 2017, 45: 728–747

[25] Bashir U, Abbas M, Ali J M. The G² and C² rational quadratic trigonometric Bézier curve with two shape parameters with applications. Applied Mathematics and Computation, 2013, 219: 10183–10197

[26] Zhang N. Study of curves & surfaces theory and relevant algorithm with shape parameters in geometric design. Master, Xi’An University of Technology, Xi’an, China, 2011

[27] Xu G, Wang G Z. Extended cubic uniform B-spline and α-B-spline. Acta Automatic Sinica, 2008, 34(8): 980–984

[28] Xu G, Wang G Z. AHT Bézier curves and NUAHT B-spline curves. Journal of Computer Science and Technology, 2007, 22(4): 597–607

[29] Qin X, Hu G, Zhang N, Shen X, Yang Y. A novel extension to the polynomial basis functions describing Bezier curves and surfaces of degree n with multiple shape parameters. Applied Mathematics and Computation, 2013, 223: 1–16

[30] Yan L, Liang J. An extension of the Bézier model. Applied Mathematics and Computation, 2011, 218: 2863–2879

[31] Chu L, Zeng X M. Constructing curves and triangular patches by Beta functions. Journal of Computational and Applied Mathematics, 2014, 260: 191–200

[32] Shen W, Wang G. Geometric shapes of C-Bézier curves. Computer-Aided Design, 2015, 58: 242–247

[33] Hu G, Bo C, Wu J, Wei G, Hou F. Modeling of free-form complex curves using SG-Bézier curves with constraints of geometric continuities. Symmetry, 2018, 10(11): 545

[34] Han X A, Ma Y, Huang X. A novel generalization of Bézier curve and surface. Journal of Computational and AppliedMathematics, 2008, 217: 180–193

[35] Cheng S Y, Tsubokura M, Okada Y, Nouzawa T, Nakashima T, Doh D H. Aerodynamic stability of road vehicles in dynamic pitching motion. Journal of Wind Engineering and Industrial Aerodynamics, 2013, 122: 146–156

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