Parametrization

The parametrization module provides abstract and concrete classes for representing point cloud surfaces as parametric models. These models support surface sampling, normal computation, and distance calculations.

Base Class

Parametrization

Abstract base class to represent picklable parametrizations.

Geometric Shapes

Parametric representations of simple geometric primitives.

Sphere(radius, center)	Parametrize a point cloud as sphere.
Ellipsoid(radii, center, orientations)	Parametrize a point cloud as ellipsoid.
Cylinder(centers, orientations, radius, height)	Parametrize a point cloud as a cylinder.
RBF(rbf, direction, grid)	Parametrize a point cloud using radial basis functions.
SplineCurve(positions[, order])	Parametrize a point cloud as a spline curve.

Triangular Meshes

Surface representations using triangular mesh topology.

TriangularMesh(mesh[, repair])	Represent a point cloud as triangular mesh.
BallPivoting(mesh[, repair])
PoissonMesh(mesh[, repair])
AlphaShape(mesh[, repair])	Represent a point cloud as triangular mesh.
FlyingEdges(mesh[, repair])	Represent a point cloud as triangular mesh.

Utilities

Functions for combining and manipulating parametrization objects.

merge(models)

Type Registry

The module provides a PARAMETRIZATION_TYPE dictionary that maps string identifiers to parametrization classes, enabling dynamic instantiation based on user selection.

from mosaic.parametrization import PARAMETRIZATION_TYPE

# Available keys:
# "sphere", "ellipsoid", "cylinder", "ball_pivoting",
# "poisson", "rbf", "alpha_shape", "spline", "flying_edges"

mesh_class = PARAMETRIZATION_TYPE["poisson"]
mesh = mesh_class.fit(points, depth=8)