Main Functions

PlateKinematics.jl includes functions to aid in the step between Finite Rotations to Euler Vectors to Surface Velocity. These steps usually involve interpolation and concatenation of Finite Rotations. All functions allow the user to work with (i) sampled ensembles of a Finite Rotations, (ii) an average Finite Rotation from which an ensemble is drawn, or (iii) a single Finite Rotation to which no Covariance has been given. The same principle applies to functions involving Euler Vectors. In many functions you will notice the optional parameter Nsize, which aims at providing control to the user on the size of the sampled ensemble of Finite Rotations/Euler Vector, shall a Covariance be provided.

Contents

• Main Functions
• • Contents
  • Index
  • Main Functions
  • • Build Sampled Ensembles
    • Un-build Sampled Ensembles (Average)
    • Interpolate Finite Rotations
    • Concatenate Finite Rotations
    • Finite Rotations to Euler Vector
    • Euler Vector de Finite Rotation
    • Calculate Surface Velocity

Index

Main Functions

Build Sampled Ensembles

Un-build Sampled Ensembles (Average)

Interpolate Finite Rotations

Concatenate Finite Rotations

Concatenate two or more finite rotations into a plate circuit that links two plates.

Note that concatenation is nothing more than a summation of every two Finite Rotations in a particular order. Knowing this, one may also use the Add_FiniteRotations function.

Finite Rotations to Euler Vector

Euler Vector de Finite Rotation

Calculate Surface Velocity