import { type PageMesh } from './mesh';
import type { CurlAnchor } from './types';
/**
 * Traveling smooth-curvature leaf curl.
 *
 * Inspired by rolling-cylinder page curls and modern developable-surface book
 * simulations, but with a compact raised-cosine curvature wave instead of a
 * constant-radius cylinder. The sheet has three regions:
 *
 *  1. untouched paper before the wave,
 *  2. an isometric bend whose curvature smoothly rises and falls,
 *  3. a flat, reflected flap after the wave.
 *
 * The wave travels from the free edge to just beyond the spine while its width grows
 * and collapses. Integrating a unit tangent preserves material length exactly; straight
 * ruling lines preserve distance along the curl axis. Curvature reaches zero at both
 * seams, eliminating the hard crease shared by circular/fold models.
 */
export declare function deformLeaf(mesh: PageMesh, W: number, H: number, t: number, anchor: CurlAnchor): void;