cartesian()

UVField MayaFlux::Kinesis::cartesian ( const glm::vec3 &  axis = glm::vec3(0.0F, 0.0F, 1.0F), const glm::vec3 &  origin = glm::vec3(0.0F), float  scale = 1.0F  )

inline

cartesian projection along a chosen axis

Parameters

axis	Normal of the projection plane (normalised by caller)
origin	World-space origin of the UV tile
scale	UV scale: larger values tile more tightly

Returns

UVField: glm::vec3 -> glm::vec2

Projects each position onto the plane perpendicular to axis and returns the two remaining components as (u, v). The active axes are chosen to avoid the dominant axis so the result is never degenerate.

Axis selection: |axis.y| <= |axis.x| and |axis.y| <= |axis.z| -> tangent = world Y otherwise -> tangent = world X The bitangent is cross(axis, tangent), giving an orthonormal frame.

Definition at line 23 of file UVProjection.hpp.

{
    const glm::vec3 n = glm::normalize(axis);
 
    const glm::vec3 tangent = (std::abs(n.y) <= std::abs(n.x) && std::abs(n.y) <= std::abs(n.z))
        ? glm::normalize(glm::cross(n, glm::vec3(0.0F, 1.0F, 0.0F)))
        : glm::normalize(glm::cross(n, glm::vec3(1.0F, 0.0F, 0.0F)));
 
    const glm::vec3 bitangent = glm::cross(n, tangent);
 
    return { .fn = [tangent, bitangent, origin, scale](const glm::vec3& p) -> glm::vec2 {
        const glm::vec3 d = p - origin;
        return glm::vec2(glm::dot(d, tangent), glm::dot(d, bitangent)) * scale;
    } };
}

References scale(), and tangent.

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