Intersection of Line and Generalized Ellipse

版本 1.0.3 (31.2 KB) 作者: e A
这个改进的函数用于计算直线与广义椭圆的交点。（This improved function returns the points of intersection between a line and a generalized ellipse.）
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更新时间 2024/7/19
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这是个改进的lineEllipse函数，用于计算直线与广义椭圆的交点。增加了异常参数处理，并且改进了交点有效性判断。
基于Paurakh的工作成果。具体参见：(Intersection of Line to Generalized Ellipse)。
This is an improved lineEllipse function for calculating the intersection of a line and a generalized ellipse. The processing of exception parameters is increased, and the validity judgment of intersection points is improved. Based on Paurakh's work. See: (Intersection of Line to Generalized Ellipse).
INPUT : a - major axis of Ellipse.
b - minor axis of Ellipse.
x0 - Abscissa of the center point of the ellipse.
y0 - Ordinate of the center point of the ellipse.
phi - Angle (in radian) between x-axis and the major axis,
counter-clockwise axis of rotation.
p, q - line is defined by (x/p + y/q = 1), with p and q as
x axis and y axis intercepts, p or q ∊ [-inf, inf].
OUTPUT : C1, C2 - respectively the two points of intersection of line and
ellipse are (C1, C2).
POST CONDITION:
If (line does not intersect) NaN is returned.
If a single point of intersection, (C1) = (C2) or one of the point
is NaN.
If two points of intersetion, two distinct (C1) and (C2) returned.
Copyright (c)2024, Aeron. Shanghai China.

引用格式

e A (2025). Intersection of Line and Generalized Ellipse (https://github.com/QXN173/matlab/releases/tag/1.0.3), GitHub. 检索时间: .

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intersectionLineEllipse

版本 已发布 发行说明
1.0.3

See release notes for this release on GitHub: https://github.com/QXN173/matlab/releases/tag/1.0.3
1.0.2

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1.0.1

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1.0.0

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