Cone-plane intersection

Version 1.1.0.0 (5.9 KB) by Sylvain Calinon
Compute the intersection of a cone and a plane, where the result is represented as an ellipse
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Updated 24 Jul 2009

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This function computes the intersection of a cone and a plane, where the result is represented either as an ellipse or in the form of a Gaussian distribution.

This algorithm can be used to extract probabilistically information concerning gazing or pointing direction. Indeed, by representing a visual field as a cone and representing a table as a plane, the Gaussian distribution can be used to compute the probability that one object on the table is observed/pointed by the user.

The source code is an implementation of the algorithms described in the book "Robot Programming by Demonstration: A Probabilistic Approach", EPFL/CRC Press (more information on http://programming-by-demonstration.org/book/)

Cite As

Sylvain Calinon (2026). Cone-plane intersection (https://se.mathworks.com/matlabcentral/fileexchange/19631-cone-plane-intersection), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2007b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.1.0.0

Notation updated to match the description of the algorithm in the the book "Robot Programming by Demonstration: A Probabilistic Approach", EPFL/CRC Press (more information on http://programming-by-demonstration.org/book/)
1.0.0.0