CAJ | 학술논문

在分析四次C-Bézier曲线性质的基础上，通过修改形状参数α和调整控制顶点，分别提出了两种修改四次C-Bézier曲线形状的新方法。分析了控制参数α对曲线形状的影响，并通过调节形状参数实现了四次C-Bézier曲线形状的修改；基于控制顶点与曲线形状关系的几何模型，给出了另一种通过调整控制顶点来修改四次C-Bézier曲线形状的方法，实现了曲线整体或局部的形状修改；给出了一些具体的数值实例。造型实例表明，该方法在计算机辅助几何设计中具有一定的应用价值。
재분석사차C-Bézier곡선성질적기출상，통과수개형상삼수α화조정공제정점，분별제출료량충수개사차C-Bézier곡선형상적신방법。분석료공제삼수α대곡선형상적영향，병통과조절형상삼수실현료사차C-Bézier곡선형상적수개；기우공제정점여곡선형상관계적궤하모형，급출료령일충통과조정공제정점래수개사차C-Bézier곡선형상적방법，실현료곡선정체혹국부적형상수개；급출료일사구체적수치실례。조형실례표명，해방법재계산궤보조궤하설계중구유일정적응용개치。
Based on the analysis of the the quartic C-Bézier basis function, this paper puts forward two methods about the control shape of the quartic C-Bézier, the modify control parameterαand modify control vertex that control parameters on the role of the shape, and puts forward the control parameters adjustment methods of modification curve shape. On the other hand, based on the relations of control points and the curve shape, it establishes the algorithm of adjustment control vertex. Finally, the paper puts forward some specific numerical experiments. The modeling examples show that the method in computer aided geometric design has certain application value.