Error analysis for segment approximation to algebraic curve

doi:10.3778/j.issn.1002-8331.2010.07.047

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (7): 155-157.DOI: 10.3778/j.issn.1002-8331.2010.07.047

• 图形、图像、模式识别 • Previous Articles Next Articles

Error analysis for segment approximation to algebraic curve

LIANG Xi-kun

College of Information Science and Engineering，Hangzhou Normal University，Hangzhou 310018，China

Received:2008-09-08 Revised:2008-10-26 Online:2010-03-01 Published:2010-03-01
Contact: LIANG Xi-kun

代数曲线分段逼近的误差分析

梁锡坤

杭州师范大学信息科学与工程学院，杭州 310018

通讯作者: 梁锡坤

Abstract

Abstract: Based on the error function of the segment approximation to algebraic curve，the profound theoretical analysis is developed.The general algorithm of the error bound is given according to the error formula.A new error is defined with intuitive geometric sense and simple calculation.With the numerical experiment，the practicality and effectiveness of the new error are demonstrated.

Key words: algebraic curve, segment approximation, quadratic Bézier curve, error analysis

摘要： 针对代数曲线分段逼近的误差函数，展开深入的理论分析，给出了由误差公式确定误差界的一般算法。定义了一种新型误差，它具有几何意义直观、计算比较简单的特征。结合数值实例，验证了新型误差的实用价值。

关键词: 代数曲线, 分段逼近, 二次Bézier曲线, 误差分析

CLC Number:

TP391

LIANG Xi-kun. Error analysis for segment approximation to algebraic curve[J]. Computer Engineering and Applications, 2010, 46(7): 155-157.

梁锡坤. 代数曲线分段逼近的误差分析[J]. 计算机工程与应用, 2010, 46(7): 155-157.

[1]	SUN Zhao, XU Zengpu, WANG Yongqiang, ZHOU Congling. Control and compensation of perspective projection error analysis in machine vision measurement [J]. Computer Engineering and Applications, 2018, 54(2): 266-270.
[2]	ZHOU Yong, XING Kainan, ZHOU Yahui. Error prediction and analysis of orthogonal moment function based on trigonometric functions [J]. Computer Engineering and Applications, 2016, 52(2): 180-185.
[3]	DENG Li1，2, CHEN Bo1, YU Suihuai2. HRA evaluation of interior environmental of cabin based on analytic hierarchy process and grey correlation analysis [J]. Computer Engineering and Applications, 2016, 52(1): 260-265.
[4]	YI Chuan, ZHAI Zhengjun, YANG Changyan. Study on reliability of FC-AE-ASM network based on Monte Carlo method [J]. Computer Engineering and Applications, 2014, 50(3): 59-62.
[5]	XIE Ping，DU Yihao，XING Tingting，LIU Bin. New error analysis method of mechanical system [J]. Computer Engineering and Applications, 2011, 47(7): 36-39.
[6]	HU Wan-bao^1，2，HE Rong-rong¹，ZHANG Jun-xiao¹，ZHANG Wen-bing¹. A class of nice linear codes from function-field codes [J]. Computer Engineering and Applications, 2010, 46(27): 83-84.
[7]	ZHANG Ming-chuan，HAN Jian-song，WU Qing-tao，WEI Wang-yang，FANG Qing-li. Research and implementation of location accuracy for automatic overhead travelling crane [J]. Computer Engineering and Applications, 2010, 46(15): 218-221.
[8]	LI Xu-dong¹,WANG Xiao-hao²,ZHAO Hui-jie¹. Localization algorithm analysis and test for Micro Aerial Vehicle radio-localizer [J]. Computer Engineering and Applications, 2009, 45(12): 60-62.
[9]	TANG Hong-jiang,MA Shu-mei,LI Ai-ping. Error analysis and inspection in integrated reverse engineering [J]. Computer Engineering and Applications, 2008, 44(25): 72-74.
[10]	HAO Ying-ming^1,2,ZHU Feng¹,OU Jin-jun¹,WU Qing-xiao¹,ZHOU Jing¹,FU Shuang-fei¹. Error analysis of P3P pose estimation [J]. Computer Engineering and Applications, 2008, 44(18): 239-242.
[11]	CHEN Zhi-hua¹,WANG Da-rui²,LIU Qiu-juan¹,ZHANG Xun-cai¹. Design of water temperature control model in holothurian’s aquaculture [J]. Computer Engineering and Applications, 2007, 43(32): 225-229.
[12]	GUAN Hai-yan¹,ZHANG Jian-qing^1,2,TANG Min¹. Error analysis of calibration equipment in visual inspection system for industrial parts [J]. Computer Engineering and Applications, 2007, 43(26): 190-193.

Error analysis for segment approximation to algebraic curve

代数曲线分段逼近的误差分析

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 12

Recommended Articles

Metrics