CAJ | 학술논문

隐式曲线曲面被广泛应用于曲线曲面插值、逼近与拼接. 通过添加辅助曲线曲面,提出异度隐函数样条曲线曲面方法,并对其插值性、凸性与正则性进行分析. 具体实例表明,异度隐函数样条提供了次数低、构造简单、灵活性好的曲线曲面插值与拼接方法.
은식곡선곡면피엄범응용우곡선곡면삽치、핍근여병접. 통과첨가보조곡선곡면,제출이도은함수양조곡선곡면방법,병대기삽치성、철성여정칙성진행분석. 구체실례표명,이도은함수양조제공료차수저、구조간단、령활성호적곡선곡면삽치여병접방법.
Implicit curves and surfaces are extensively used in interpolation, approximation and blending. By adding auxiliary curves and surfaces, the functional spline curves and surfaces with different degrees of smoothness are presented. In addition, convexity, regularity and convexity are also discussed. The examples show that the functional spline curves and surfaces provide the lower degree, simple, and flexible interpolation and blending means of curves and surfaces.