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 decision-making.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Bodein Y, Rose B, Caillaud E. A roadmap for parametric CAD efficiency in the automotive industry. Computer-Aided Design, 2013, 45: 1198–1214
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
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
Ostrosi E, Bluntzer J B, Zhang Z, Stjepandic J. Car style-holon recognition in computer-aided design. Journal of Computational Design and Engineering, 2019, 6(4): 719–738
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
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
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
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
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
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
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
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
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
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
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
Han X A, Ma Y, Huang X. The cubic trigonometric Bézier curve with two shape parameters. Applied Mathematics Letters, 2009, 22: 226–231
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
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
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
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
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
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
Zhu Y, Han X. A class of αβγ-Bernstein-Bézier basis functions over triangular domain. Applied Mathematics and Computation, 2013, 220: 446–454
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
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
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
Xu G, Wang G Z. Extended cubic uniform B-spline and α-B-spline. Acta Automatic Sinica, 2008, 34(8): 980–984
Xu G, Wang G Z. AHT Bézier curves and NUAHT B-spline curves. Journal of Computer Science and Technology, 2007, 22(4): 597–607
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
Yan L, Liang J. An extension of the Bézier model. Applied Mathematics and Computation, 2011, 218: 2863–2879
Chu L, Zeng X M. Constructing curves and triangular patches by Beta functions. Journal of Computational and Applied Mathematics, 2014, 260: 191–200
Shen W, Wang G. Geometric shapes of C-Bézier curves. Computer-Aided Design, 2015, 58: 242–247
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
Han X A, Ma Y, Huang X. A novel generalization of Bézier curve and surface. Journal of Computational and Applied Mathematics, 2008, 217: 180–193
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
Acknowledgements
This research was funded by the National Natural Science Foundation of China (Grant No. 51875454) and Shaanxi Province Education Department Humanities and Social Sciences Research Plan of China (18JK0538).
Author information
Authors and Affiliations
Corresponding author
Additional information
Fan Liu is a PhD student from Xi’an University of Technology, China. He received the BE degree in 2011 from Shaanxi University of Science & Technology, China, and the ME degree in 2014 from Xi’an University of Technology, China. His research interests include industrial design and CAD.
Xiaomin Ji received the ME and PhD degrees in 1988 and 2001 from Xi’an University of Technology, China. He is a professor and doctoral supervisor at the Xi’an University of Technology, China. His research interests include industrial design, mechanical design theory and CAD/CAM. He is the vice president of the Shaanxi Industrial Design Association, and the member of the Teaching Committee of Industrial Design Discipline of China Machinery Industry Education Association.
Gang Hu received the MS degree in 2008 from Northwestern Polytechnical University, China, and the PhD degree in 2016 from Xi’an University of Technology, China. He is a professor at the Xi’an University of Technology, China. His research interests include computational geometry, CAGD, CAD/CAM, mechanical design theory and graphic image processing. He has published more than 100 papers in academic journals and conferences, of which more than 20 are indexed by SCI and more than 40 are indexed by EI. He is a reviewer of 6 SCI journals including Computer-Aided Design and Applied Mathematics and Computation.
Jing Gao is a PhD student from Xi’an University of Technology, China. She received the BE degree in 2012 from Xi’an Technological University, China, and the ME degree in 2015 from Xi’an University of Technology, China. Her research interests include industrial design, human kinematics and human dynamics.
Electronic Supplementary Material
Rights and permissions
About this article
Cite this article
Liu, F., Ji, X., Hu, G. et al. A computer aided design method for car form and its application based on shape parameters. Front. Comput. Sci. 14, 146703 (2020). https://doi.org/10.1007/s11704-019-9156-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11704-019-9156-3