AbstractAxisAngle

Abstract supertype for all axis-angle representations of microstructural orientation common to metallurgists.

AxisAngle{E<:AbstractAxisAngle, T<:AbstractFloat}

An interface for different axis-angles type descriptors, implemented subtypes of AbstractAxisAngle include: • AxisAng • RodriguesFrank • HomochoricVector

The axis is a unit vector, and the angle in radians.

AxisAngle(AxisAng, rodrigues_vec)

Converts RodriguesFrank vector → AxisAngle{AxisAng}

AxisAngle(AxisAng, euler_angle)

Converts EulerAngle → AxisAngle{AxisAng}

AxisAngle(T, rotation_matrix)

Converts 3x3 rotation matrix → EulerAngles{T}

AxisAngle(AxisAng, quaternion)

Converts Quaternion → AxisAngle{AxisAng}

AbstractEulerAngles

Abstract supertype for all EulerAngle representations of microstructural orientation common to metallurgists.

EulerAngles{E<:AbstractEulerAngles, T<:AbstractFloat}

An interface for different Euler angles conventions, implemented subtypes of AbstractEulerAngles include: • Bunge (ϕ₁, Φ, ϕ₂) • Roe (Ψ, Θ, Φ) • Kocks (Ψ, Θ, ϕ) • Matthies (α, β, γ)

EulerAngles(T, quaternion)

Converts quaternion → EulerAngles{T}

EulerAngles(E, axis_angle)

Converts axis-angle pair → EulerAngles{T}

EulerAngles(T, rotation_matrix)

Converts 3x3 rotation matrix → EulerAngles{T}

Quaternion(rotation_matrix)

Converts 3x3 rotation matrix → Quaternion{T}

Quaternion(axis_angle)

Converts AxisAngle{AxisAng} → Quaternion{T}

Quaternion(euler_angle)

Converts EulerAngles → Quaternion{T}

    rotation_matrix(axis_angle)

Converts AxisAngle{AxisAng} representation → 3x3 rotation matrix

    rotation_matrix(euler_angles)

Converts EulerAngles representation → 3x3 rotation matrix

    rotation_matrix(quaternion)

Converts Quaternion representation → 3x3 rotation matrix