Transforming spatial objects: Changing between coordinate reference systems with the R package sp

A object coordinate system is built by three points in object and the method of solving the direction cosines of the axises of the coordinate system is presented. The coordinate transformation matrix based on the direction cosine parameters from the object coordinate system to the world coordinate system is derived by vector algebra. The coordinate transformation matrix from the world coordinate system to the object coordinate system is derived by finding the converse matrix. As deductions of the coordinate transformation, two special coordinate transformation and their matrices are given. The two transformation matrices between the object coordinate system and the world coordinate system presented in this article are universal coordinate transforma- tion matrices for two arbitrary coordinate systems.

Ellipsoidal coordinates

Transformation matrix

Elliptic coordinate system

Affine variety

Direction cosine

Geographic coordinate conversion

Coordinate Descent

Matrix (chemical analysis)

Source

Cite

Citations (6)