5 Coordinate systems 25


Table 5.18 — Lococentric surface Euclidean



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Table 5.18 — Lococentric surface Euclidean



Field

Specification

Description

Localization of Euclidean 2D CS into 3D position space.

Label

CS_S3_LOCOCENTRIC_SURFACE_EUCLIDEAN

Code

11

Function type

Generating function.

CS type

Surface linear.

Properties

Orthonormal.

CS parameters and constraints

Localization parameters:

q: the lococentric origin in R3,
r, s: axis directions in R3.

Constraints: r and s are orthonormal.



Coordinates

U, v

Domain of the generating function or mapping equations

R2

Generating function or mapping equations



Domain of the inverse of the generating function or mapping equations



Inverse of the generating function or mapping equations



Figure(s)



Notes

  1. The CS surface is the plane specified by:.

  2. The generating function is the composition of the generating function for Euclidean 2D (see Table 5 .21) with the surface localization operator (see 5.2.6).

Reference type

IR

References

[EDM]


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