Journal of Computer Science and Technology


Quasi-Developable B-Spline Surface Design with Control Rulings

Zi-Xuan Hu1(胡梓轩), Peng-Bo Bo1,*(伯彭波), Member, CCF, and Cai-Ming Zhang2,3(张彩明), Senior Member, CCF   

  1. 1School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, China
    2Shandong Co-Innovation Center of Future Intelligent Computing, Yantai 264005, China
    3Shandong Province Key Laboratory of Digital Media Technology, Shandong University of Finance and Economics, Jinan 250061, China

We propose a method for generating a ruled B-spline surface fitting to a sequence of pre-defined ruling lines and the generated surface is required to be as-developable-as-possible. Specifically, the terminal ruling lines are treated as hard constraints. Different from existing methods that compute a quasi-developable surface from two boundary curves and cannot achieve explicit ruling control, our method controls ruling lines in an intuitive way and serves as an effective tool for computing quasi-developable surfaces from freely designed rulings. We treat this problem from the point of view of numerical optimization and solve for surfaces meeting the distance error tolerance allowed in applications. The performance and efficacy of the proposed method are demonstrated by the experiments on a variety of models including an application of the method for path planning in 5-axis Computer Numerical Control (CNC) flank milling.


4、结果(Result & Findings):

Key words: developable surface, surface modeling, B-spline surface, numerical optimization


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CN 11-2296/TP

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