/**
 * Mesh Face Utilities
 *
 * Utility functions for mesh face operations including:
 * - Barycentric coordinate interpolation
 * - Local to UV conversion
 * - UV to local conversion
 */
import { MeshFace } from './mesh_face';
import { Mesh } from './mesh';
import { Vector3 } from '../modeling/transform';
import { Vector2 } from './mesh_face';
/**
 * Calculate barycentric coordinates for a point in a triangle
 * Returns [u, v, w] where u + v + w = 1
 */
export declare function getBarycentricCoordinates(point: Vector3, v0: Vector3, v1: Vector3, v2: Vector3): [number, number, number] | null;
/**
 * Interpolate UV coordinates using barycentric coordinates
 */
export declare function interpolateUV(barycentric: [number, number, number], uv0: Vector2, uv1: Vector2, uv2: Vector2): Vector2;
/**
 * Convert 3D point on mesh face to UV coordinates
 * Uses barycentric interpolation for triangles
 */
export declare function localToUV(face: MeshFace, mesh: Mesh, point: Vector3): Vector2 | null;
/**
 * Convert UV coordinates to 3D point on mesh face
 * Inverse of localToUV
 */
export declare function UVToLocal(face: MeshFace, mesh: Mesh, uv: Vector2): Vector3 | null;
/**
 * Check if a point is inside a face (2D projection)
 */
export declare function isPointInFace(face: MeshFace, mesh: Mesh, point: Vector3, tolerance?: number): boolean;
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