Difference between revisions of "User:DavidJCobb"
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→Rotation resources: Added reference links for axis-angle-to-matrix conversion.
imported>DavidJCobb (→Rotation resources: Added reference links for matrix-to-Euler conversion.) |
imported>DavidJCobb (→Rotation resources: Added reference links for axis-angle-to-matrix conversion.) |
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[http://www.vectoralgebra.info/eulermatrix.html This page] generates forumlae to convert from Euler angles (in any convention) to rotation matrices. | [http://www.vectoralgebra.info/eulermatrix.html This page] generates forumlae to convert from Euler angles (in any convention) to rotation matrices. | ||
[http://www.vectoralgebra.info/axisangle.html This page] and [http://www.vectoralgebra.info/euleranglesvector.html this page] together offer the information needed to convert from Euler angles (in any convention) to an axis-angle representation. | [http://www.vectoralgebra.info/axisangle.html This page] and [http://www.vectoralgebra.info/euleranglesvector.html this page] together offer the information needed to convert from Euler angles (in any convention) to an axis-angle representation by way of rotation matrices. | ||
[https://web.archive.org/web/20051124013711/http://skal.planet-d.net/demo/matrixfaq.htm#Q37 This page] describes how to pull right-handed Euler ZYX from a rotation matrix. It's easy to convert the math to left-handed if you use [http://www.vectoralgebra.info/eulermatrix.html the matrix formula generator linked earlier] and if you understand what atan2 does and why. | [https://web.archive.org/web/20051124013711/http://skal.planet-d.net/demo/matrixfaq.htm#Q37 This page] describes how to pull right-handed Euler ZYX from a rotation matrix. It's easy to convert the math to left-handed if you use [http://www.vectoralgebra.info/eulermatrix.html the matrix formula generator linked earlier] and if you understand what atan2 does and why. | ||
The process of converting from axis angle to quaternion (and vice versa) is one of the few rotation-related operations that [https://en.wikipedia.org/w/index.php?title=Axis%E2%80%93angle_representation&oldid=608157500#Unit_quaternions Wikipedia explains in plain English]. Ten bucks says a pack of PhDs will eventually come along and rewrite the article into gibberish, so that's a link to an archived version of the article as it existed when I found it. | The process of converting from axis angle to quaternion (and vice versa) is one of the few rotation-related operations that [https://en.wikipedia.org/w/index.php?title=Axis%E2%80%93angle_representation&oldid=608157500#Unit_quaternions Wikipedia explains in plain English]. Ten bucks says a pack of PhDs will eventually come along and rewrite the article into gibberish, so that's a link to an archived version of the article as it existed when I found it. | ||
In another rare instance of clarity, [https://en.wikipedia.org/w/index.php?title=Rotation_matrix&oldid=619323683#Rotation_matrix_from_axis_and_angle Wikipedia describes how to convert from axis-angle back to a rotation matrix]. The article doesn't state whether it's working with extrinsic rotations, or what the handedness of the system is, but it seems to line up with the math at [http://www.vectoralgebra.info/axisangle.html one of the previously-linked pages]. | |||
== Converting any Euler sequence to a rotation matrix == | == Converting any Euler sequence to a rotation matrix == | ||