Distance of a circle to a line in 3d

版本 2.1.0.0 (3.6 KB) 作者: Johannes Korsawe
Calculate the nearest points on a circle with respect to a line in 3d
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更新时间 2023/9/5

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A line is defined by a point and a vector in 3d.
A circle is defined by a midpoint and a radius and the normal vector of the supporting plane, the circle lies inside.
This function calculates the nearest point (and the minimal distance) of a circle to a line in 3d.
Function is not vectorized, as too many special cases can occur.
I have not developed the algorithm itself. The algorithm has been originally implemented by David Eberly, Geometric Tools, Redmond WA 98052 !
Kudos also to Aaron T. Becker's Robot Swarm Lab's comments on an erroneous case.
See also: https://www.geometrictools.com/Documentation/DistanceToCircle3.pdf and https://www.geometrictools.com/GTE/Mathematics/DistLine3Circle3.h with only minor changes on variable names and calculations.

引用格式

Johannes Korsawe (2024). Distance of a circle to a line in 3d (https://www.mathworks.com/matlabcentral/fileexchange/59800-distance-of-a-circle-to-a-line-in-3d), MATLAB Central File Exchange. 检索时间: .

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版本 已发布 发行说明
2.1.0.0

Fixed for erroneous case as suggested by Aaron T. Becker's Robot Swarm Lab
2.0.0.0

First version was generally wrong and correct only in special cases.
New version with total new algorithm derived from https://www.geometrictools.com/Documentation/DistanceToCircle3.pdf
1.0.0.0

edited title of submission