Papers by Keyword: Parametric Curve

Abstract: In order to control the curve modality of non-uniform rational B-spline accurately, the genetic algorithm is presented to the manipulative precision of NURBS curve fitting. The manipulative precision of curve fitting and the overall side-by-side search ability of genetic algorithm were researched; the excellent unit is founded in the field of weight coefficient. The precision result and the curve figure of curve fitting using the excellent weight coefficient are better. The examples of data fitting are given to show that the curves fitting used genetic algorithms are better in approximation. The precision result of curve fitting is improved. The global optimal search of genetic algorithm provides a reliable tool for scientific data processing.

Abstract: This paper proposed a new and effective parametric curve interpolation algorithm with error compensation capability for high speed machining. The proposed algorithm is developed from the first-order Taylor expansion interpolation algorithm and the speed-controlled interpolation algorithm. It is also incorporated the geometry features of the machined curves, the dynamic characteristics of machine tools and the adaptive error control. The proposed algorithm achieves high surface accuracy and avoids feedrate fluctuations. Simulation results have demonstrated the effectiveness and satisfactory performance of the proposed algorithm.

Abstract: This paper presents a generating algorithm at pixel level for parametric curve. The parallel particle sub-swarm optimization is used to search the optimal step of curve in forward. Large amount of repeated computing for points are avoided and the result is precise enough. Simulation results show that the parallel method based on particle sub-swarm can be used for searching the optimal step of parametric curve with any degree quickly. At the same time, compared with other methods, this algorithm produces the maximum step efficiently. Since there is no restriction on control point position and curve degree, the algorithm can be extended easily to other parametric curves besides Bézier curves.