Coordinate Transformations

Quaternions, rotation matrices, transformations

UAV Toolbox provides functions for transforming coordinates and units into the formats required for various applications. To learn more about the different coordinate systems, see Coordinate Systems in UAV Toolbox and Coordinate Systems for Unreal Engine Simulation in UAV Toolbox.

Objects

transformTree Define coordinate frames and relative transformations

`se2`	SE(2) homogeneous transformation (Since R2022b)
`se3`	SE(3) homogeneous transformation (Since R2022b)

quaternion Create quaternion array

`so2`	SO(2) rotation (Since R2022b)
`so3`	SO(3) rotation (Since R2022b)

plotTransforms Plot 3-D transforms from translations and rotations

`axang2quat`	Convert axis-angle rotation to quaternion
`axang2rotm`	Convert axis-angle rotation to rotation matrix
`axang2tform`	Convert axis-angle rotation to homogeneous transformation

`angdiff`	Difference between two angles
`cart2hom`	Convert Cartesian coordinates to homogeneous coordinates
`hom2cart`	Convert homogeneous coordinates to Cartesian coordinates
`trvec2tform`	Convert translation vector to homogeneous transformation

`eul2quat`	Convert Euler angles to quaternion
`eul2rotm`	Convert Euler angles to rotation matrix
`eul2tform`	Convert Euler angles to homogeneous transformation

`tform2axang`	Convert homogeneous transformation to axis-angle rotation
`tform2eul`	Extract Euler angles from homogeneous transformation
`tform2quat`	Extract quaternion from homogeneous transformation
`tform2rotm`	Extract rotation matrix from homogeneous transformation
`tform2trvec`	Extract translation vector from homogeneous transformation

`enu2lla`	Transform local east-north-up coordinates to geodetic coordinates
`lla2enu`	Transform geodetic coordinates to local east-north-up coordinates
`lla2ned`	Transform geodetic coordinates to local north-east-down coordinates
`ned2lla`	Transform local north-east-down coordinates to geodetic coordinates

`quat2axang`	Convert quaternion to axis-angle rotation
`quat2eul`	Convert quaternion to Euler angles
`quat2rotm`	Convert quaternion to rotation matrix
`quat2tform`	Convert quaternion to homogeneous transformation

`rotm2axang`	Convert rotation matrix to axis-angle rotation
`rotm2eul`	Convert rotation matrix to Euler angles
`rotm2quat`	Convert rotation matrix to quaternion
`rotm2tform`	Convert rotation matrix to homogeneous transformation

Convert to a specified coordinate transformation representation