Understanding the Transformation of X-Y-Z to X'-Y'-Z' in 3D Space

Feb 02, 2026

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This document discusses the transformation process from the coordinates X-Y-Z to X'-Y'-Z' after applying specific transformations. It describes how to obtain the new coordinates post-transformation, with a focus on the mounting plane and line of sight within a 3D space. The measurements for each axis are provided, along with a discussion on viewing directions. The figure presented serves as a visual aid to illustrate the transformation and the spatial relationship between the different coordinates, emphasizing clarity in understanding the applied geometrical transformations.

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Understanding the Transformation of X-Y-Z to X'-Y'-Z' in 3D Space

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Ram (X) Nadir (Z) After the transformation of X-Y-Z, the X’(X)-Y’-Z’ can then be obtained. Mounting Plane: Y’-Z’ Line of Sight: Y’ X(mm) Y’(mm) Z’(mm) SI 250 352 240 AP 290 340 244 SP 241 231 136 AEP 104 236 198 (Y) Y’ Note: This figure is used to show the viewing direction only. The four boxes are separated.