关键词: B-样条, 线缆仿真, 计算机辅助设计, 虚拟维修

Abstract:

Cable Deformation Simulation is the core problem for both computer aid design and maintenance process simulation of cables. It is one of the research hotspots in virtual reality techniques. B-Spline curve is one of significant achievements in computational geometrics. It has been widely used in computer aided design. The paper firstly introduces the concept of BSpline  And analyzes the advantages of simulating the cable deformation with Cubic uniform BSpline curve. Secondly, the GlobalEnergyOptimization method and the HighlyCoordinateReset method are combined in order to search for the position of the control points, and a cable model with two given end points and one giving passingthrough point are established. Finally, based on that, other cable models with constraints of given tangents are built up by the Lagrange Multiplier method. This model describes the cable deformation under stable status, featuring small amount of calculation, lifelike model and flexible control of deformation. It can be used in cable design guidance and virtual maintenance process simulation.

Key words: B-spline;cable simulation;computer aided design;virtual maintenance