Calculate the new position of a point after rotating

how we can Calculate the new position of a point after rotating it about theta degrees around a line in 3d space

[Aakash]

You can refer to this rotatepoint function from matlab documentation for your query.

For examples and more details on the concept and math behind quaternions you can refer to this link

[Akira Agata]

+1

If the Automated Driving Toolbox is not available in your environment, please use makehgtform function to create 4-by-4 transform matrix and apply to the original point coordinates.

Answer 1

[Matt J]

You can use this FEX download, which requires no toolboxes,

https://www.mathworks.com/matlabcentral/fileexchange/30864-3d-rotation-about-shifted-axis

See, in particular SYNTAX 3,

newPosition = AxelRot(oldPosition, degrees, axisDirection, axisOrigin)