Module implicit_surfaces 

Implicit surface representations and operations.

This module provides Signed Distance Functions (SDFs) for common geometric primitives, Constructive Solid Geometry (CSG) boolean operations, smooth blending, isosurface extraction via Marching Cubes, Radial Basis Function (RBF) implicit surfaces, and sphere-tracing ray marching.

Quick start

use oxiphysics_geometry::implicit_surfaces::{ImplicitSurface, SphereSDF};

let sphere = SphereSDF::new([0.0, 0.0, 0.0], 1.0);
assert!(sphere.eval([0.0, 0.0, 0.0]) < 0.0); // inside
assert!(sphere.eval([2.0, 0.0, 0.0]) > 0.0); // outside

Structs

BoxSDF

Axis-aligned box SDF centred at the origin.

CylinderSDF

Infinite cylinder SDF along the Y axis centred at the origin.

DifferenceSDF

CSG difference of two implicit surfaces: f = max(A, −B).

IntersectionSDF

CSG intersection of two implicit surfaces: f = max(A, B).

OffsetSDF

Offset (shell) SDF: expands or shrinks a shape by a fixed distance.

RBFImplicit

Radial Basis Function (RBF) implicit surface.

SmoothUnionSDF

Smooth (C¹) union of two implicit surfaces using polynomial blending.

SphereSDF

Sphere SDF: f(p) = |p − center| − radius.

TorusSDF

Torus SDF centred at the origin, lying in the XZ plane.

UnionSDF

CSG union of two implicit surfaces: f = min(A, B).

Traits

ImplicitSurface

Trait for implicit surface representations (Signed Distance Functions).

Functions

is_inside

Test whether a point is inside a closed implicit surface.

marching_cubes

Extract an isosurface from an implicit SDF using the Marching Cubes algorithm.

ray_march

Sphere-trace a ray against an implicit surface.

surface_bbox

Compute the axis-aligned bounding box of a level-set surface by sampling.

surface_normal

Estimate the outward unit normal of an implicit surface at p using central differences with step size eps.