ProjectiveSpace

public protocol ProjectiveSpace

A protocol for projective spaces, where lower-dimensional spaces can be represented as embedded in higher dimensional features, like a point on a 2D plane in 3D.

  • The vector type for the higher-dimensional shape in Euclidean geometric space.

    Declaration

    Swift

    associatedtype Vector : VectorType

  • The type for projective coordinates within the projective space.

    Declaration

    Swift

    associatedtype Coordinates : Equatable

  • Projects a vector onto this projective space, and if successful, returns a set of coordinates for this projective space.

    Declaration

    Swift

    func attemptProjection(_ vector: Vector) -> Coordinates?

  • Pulls out a projective coordinate from this space back to the original space of this projective space.

    Declaration

    Swift

    func projectOut(_ proj: Coordinates) -> Vector