Directional

This module allows us to work with discrete vector and frame fields. The name is a reference to Amir Vaxman’s award-winning library which partially served as inspiration for this module.

iskra.directional

complex_nth_root(z, n)	Compute the nth roots of a complex number z.
face_connection_d_01(n_faces, flaps, connection)	Construct the face-based connection differetial for an N-RoSy field.
face_connection_laplacian(verts, faces, ...)	Construct the face-based connection laplacian for an N-RoSy field.
face_connection_mass(verts, edges, ...)	Makes the face-based connection mass matrix for an N-RoSy field via edge lengths.
face_tangent_bundle(vertices, faces, edge_flaps)	Construct a tangent bundle for a face-based vector field.
smooth_frame_field(vertices, faces, flaps, ...)	Smooth a frame field with sparse hard constraints.
smooth_n_rosy(vertices, faces, flaps, ...)	Smooths an N-RoSy field.
to_extrinsic(u, tangents, binormals)	Reconstructs 3D vector from intrinsic complex directional.
to_extrinsic_frame_field(uv, tangents, binormals)	Reconstructs 3D vectors from complex frame field.
to_extrinsic_n_rosy(u, tangents, binormals, n)	Reconstructs 3D vectors from intrinsic complex N-RoSy field.
to_intrinsic(v, tangents, binormals)	Projects 3D vector onto 2D basis spanned by tangents and binormals.
to_intrinsic_frame_field(u, v, tangents, ...)	Constructs a frame field from two 3D vectors.
to_intrinsic_n_rosy(v, tangents, binormals, n)	Constructs an N-RoSy field from a 3D vector.
transport_from_face(source, intrinsic, ...)	Parallelly transports of a vector from face source to all neighboring faces.