Module sampling 

Adaptive and uniform curve/surface sampling.

Uniform sampling

sample_uniform and sample_uniform_with_params divide a parameter range into equal-size steps and evaluate the curve at each step. This is fast but may under-sample highly curved regions.

Deflection-based (adaptive) sampling

sample_deflection uses recursive midpoint subdivision: it measures the perpendicular distance from the true curve point at each interval midpoint to the straight chord between the interval endpoints. If that distance (the “sag”) exceeds max_deflection, the interval is split in two. This guarantees that every chord’s midpoint deviation is within the requested tolerance.

Arc-length parameterized sampling

sample_arc_length places n points at approximately equal arc-length spacing. It builds a fine chord-length table (256 segments) and bisects to find the parameter at each target fraction.

Curvature-adaptive sampling

sample_curvature subdivides intervals where the product of curvature and interval arc-length exceeds a tolerance. Produces denser samples in high-curvature regions of a NURBS curve.

Surface grid sampling

surface_grid evaluates a regular N×M grid of points over a parametric surface domain.

Re-exports

pub use arc_length::sample_arc_length;

pub use curvature::sample_curvature;

pub use deflection::sample_deflection;

pub use surface::surface_grid;

pub use uniform::sample_uniform;

pub use uniform::sample_uniform_with_params;

Modules

arc_length

Arc-length parameterized curve sampling.

curvature

Curvature-adaptive curve sampling for NURBS curves.

deflection

Adaptive deflection-based curve sampling via recursive midpoint subdivision.

surface

Regular grid sampling of parametric surfaces.

uniform

Uniform parameter-space curve sampling.