Bézier曲线约束降多阶算法的分析与比较

Analysis and comparison of algorithms for multi-degree reduction with constrained Bézier curves

为了顺利进行产品外形数据的压缩与传递,分析和比较了L2范数下Bézier曲线带高阶端点插值条件的降多阶算法.基于工程的应用需要,对有代表性的4种算法,从理论机理、误差预测、表达形式、逼近精度、机时消耗5个方面作了系统的剖析与对比,并通过大量实例对算法效果进行了比较,找到了一种能够预报误差、显式表示、精度最高、机时最省的最佳算法.

The algorithms of multi-degree reduction of Bézier curves with constraints of high degree endpoints continuity in L2-norm were investigated to guarantee the compression and communication of product model data.Based on the engineering practical needs,four typical algorithms published in the international journals these years,were roundly analyzed and compared according to their theoretical mechanism,error forecast,expression form,approximation accuracy and computing time.Also numerical tests were carried out...