Module functions 

Auto-generated module

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Functions

barycentric_2d

Compute the barycentric coordinates (u, v, w) of point p with respect to triangle (a, b, c) in 2-D.

barycentric_interp_2d

Interpolate a scalar at point p inside triangle (a, b, c) with values (fa, fb, fc) using barycentric coordinates.

barycentric_rational

Floater-Hormann family of barycentric rational interpolants.

bicubic

Bicubic interpolation using a 4×4 stencil on a regular 2-D grid.

bilinear

Bilinear interpolation on a unit square.

bilinear_grid

Bilinear interpolation on a regular 2-D grid of values.

catmull_rom

Catmull-Rom segment between p1 and p2 using finite-difference tangents derived from p0 and p3.

dist3

Helper: distance between two 3-D points.

hermite

Cubic Hermite interpolation (scalar).

hermite3

Cubic Hermite interpolation (3-vector).

hermite_deriv

Derivative of cubic Hermite at local parameter t.

lerp

Linear interpolation between two scalars.

lerp3

Component-wise linear interpolation between two 3-vectors.

monotone_cubic

Monotone cubic (PCHIP / Fritsch-Carlson) interpolation.

natural_neighbor_interp

Natural neighbor interpolation using a simplified area-based Sibson weight.

nurbs_evaluate_with_derivative

Evaluate a NURBS curve using the Cox-de Boor algorithm and return the point together with its first derivative via automatic differentiation.

quat_dot

Dot product of two quaternions.

quat_nlerp

Normalized linear interpolation (nlerp) of two quaternions.

quat_norm

Euclidean norm of a quaternion.

quat_normalize

Normalize a quaternion to unit length.

quat_slerp

Spherical linear interpolation (slerp) between two unit quaternions.

quat_squad

SQUAD — smooth quaternion spline interpolation.

rbf_fit

Fit RBF weights by solving the interpolation system Φ w = f.

rbf_interpolate

Evaluate an RBF interpolant at query point x.

rbf_thin_plate_spline

Thin-plate spline RBF: r² · ln(r) (convention: 0 at r=0).

rbf_tps_evaluate

Evaluate a 2-D RBF interpolant using the thin-plate spline kernel.

rbf_tps_fit

Fit a 2-D RBF interpolant with the thin-plate spline kernel.

trilinear

Trilinear interpolation on a unit cube.

trilinear_grid

Trilinear interpolation on a regular 3-D grid.