Identification of Parabola Fitting Direction by Two Controlling Points of Dr.Bridge

Huang Juan; Ding Shu-xian; Chen Guang-ming; Gan Hong-guang

doi:10.3969/j.issn.1007-7162.2015.03.022

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Identification of Parabola Fitting Direction by Two Controlling Points of Dr.Bridge

更新时间：2026-05-27

- Identification of Parabola Fitting Direction by Two Controlling Points of Dr.Bridge
- Vol. 32, Issue 3, Pages: 119-122(2015)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.1007-7162.2015.03.022
  CLC：
- Online First：22 September 2015，
  
  Published：2015
- 稿件说明：
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黄娟, 丁术鲜, 陈光明, 甘鸿光. 基于两控制点的Dr.Bridge抛物线拟合方向辨识[J]. 广东工业大学学报, 2015, 32(3): 119-122.

Huang Juan, Ding Shu-xian, Chen Guang-ming, et al. Identification of Parabola Fitting Direction by Two Controlling Points of Dr.Bridge[J]. 2015, 32(3): 119-122.
黄娟, 丁术鲜, 陈光明, 甘鸿光. 基于两控制点的Dr.Bridge抛物线拟合方向辨识[J]. 广东工业大学学报, 2015, 32(3): 119-122. DOI： 10.3969/j.issn.1007-7162.2015.03.022.

Huang Juan, Ding Shu-xian, Chen Guang-ming, et al. Identification of Parabola Fitting Direction by Two Controlling Points of Dr.Bridge[J]. 2015, 32(3): 119-122. DOI： 10.3969/j.issn.1007-7162.2015.03.022.

摘要

提出在Dr.Bridge建模中利用直线快速编辑器准确辨识抛物线拟合方向的新方法.通过考查二次抛物线在单调区间内的凸凹性

确定基于两控制点抛物线可能出现的4种性态.在此基础上

引入表征抛物线单调性及凸凹性的两套符号

给出了基于两控制点抛物线拟合方向的判定方法

拓展了Dr.Bridge直线快速编辑器由两控制点准确拟合抛物线的新途径.无论由两控制点还是由三控制点进行抛物线拟合

该判定方法均能适用.本文方法操作简捷

易于程序实现.

Abstract

A new method is presented to determine the fitting direction while using Dr.Bridge′s linear editor to model various parabolas in this paper. By considering convex-concave property at monotone interval of a quadratic curve

four different parabola shapes with two controlling points fitted

are provided. Based on the method

two sets of symbols are introduced to describe the monotonicity and convex-concave property of parabola. And the identification of parabola fitting direction is presented

which explores a new way to fit a parabola by two controlling points when linear editor of Dr.Bridge is used. The presented method is suitable for determining the parabola fitting direction whether parabola is fitted by two or by three controlling points. The method is illustrated by its simplicity and convenience

and efficient for program realization

which greatly promotes the modeling efficiency.

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