A PIECEWISE INTERPOLATION METHOD OF CONNECTING DISCRETE POINTS INTO SMOOTH CURVES

杭承仁; 陈万方

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A PIECEWISE INTERPOLATION METHOD OF CONNECTING DISCRETE POINTS INTO SMOOTH CURVES

更新时间：2025-12-08

- A PIECEWISE INTERPOLATION METHOD OF CONNECTING DISCRETE POINTS INTO SMOOTH CURVES
- Acta Electronica Sinica Issue 2, Pages: 50-60(1979)
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- Published：1979
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[1]杭承仁,,,,,,,,,,,陈万方.将离散点连成光滑曲线的一种分段插值方法[J].电子学报,1979(02):50-60.

杭承仁, 陈万方. A PIECEWISE INTERPOLATION METHOD OF CONNECTING DISCRETE POINTS INTO SMOOTH CURVES[J]. Acta Electronica Sinica, 1979, (2): 50-60.
[1]杭承仁,,,,,,,,,,,陈万方.将离散点连成光滑曲线的一种分段插值方法[J].电子学报,1979(02):50-60. DOI：

杭承仁, 陈万方. A PIECEWISE INTERPOLATION METHOD OF CONNECTING DISCRETE POINTS INTO SMOOTH CURVES[J]. Acta Electronica Sinica, 1979, (2): 50-60. DOI：

摘要

将离散点连成光滑曲线的方法

在计算机辅助设计

图形处理等方面应用广泛。先前的若干方法对点的分布状态限制较多

得到的曲线往往不够满意或无法完成。本文提出一种经过验证的方法

其运算简捷

对点的分布状态不加限制。甚至当用其它方法无法完成计算时

用本方法也能得到接近理想的结果。

Abstract

In computer-aided design graphic processing and other areas

a variety of methods are widely used to obtain smooth curves by connecting discrete points. But the traditional methods have many limitations over distribution of given points

whereby the curves so produced are often not satisfactory enough and even incomplete. The verified method presented here is simple in calculation and of no limit over distribution of given points. Moreover

approximately ideal results are obtained for the cases that other methods do not provide complete calculation.

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