Distance between points and ellipse

バージョン 1.4 (3.59 KB) 作成者: Rody Oldenhuis

Compute the distances between an ellipse and an arbitrary number of points, in 3D

https://github.com/rodyo/FEX-distancePointEllipse

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更新 2020/5/2

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The solution to the problem of calculating the distance between an ellipse and a point is less than straightforward. The problem can be solved analytically however, which boild down to solving a quartic equation in cos(f), with (f) the true anomaly on the ellipse.
This submission implements this and computes the distances between any 3-D ellipse and an arbitrary number of 3-D points.
This is part of:
Ik-Sung Kim: "An algorithm for finding the distance between two ellipses". Commun. Korean Math. Soc. 21 (2006), No.3, pp.559-567
See also my other submission, distanceEllipseEllipse.

引用

Rody Oldenhuis (2024). Distance between points and ellipse (https://github.com/rodyo/FEX-distancePointEllipse/releases/tag/v1.4), GitHub. 取得済み April 24、2024.

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作成: R2009b

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ヒントを得たファイル: Distance from points to an ellipse

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distanceEllipsePoints

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バージョン	公開済み	リリースノート
1.4	2020/5/2	See release notes for this release on GitHub: https://github.com/rodyo/FEX-distancePointEllipse/releases/tag/v1.4	ダウンロード
1.3.0.0	2018/6/10	Description update [linked to Github]
1.2.0.0	2014/2/14	Updated contact info	ダウンロード
1.1.0.0	2010/1/12	(1) Changed description (should've used the "preview" button..) (2) Removed the ML 2009a/b tilde-syntax for better compatibility (3) corrected small bug in the error handling (bracket bug)	ダウンロード
1.0.0.0	2010/1/8		ダウンロード

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