import type { Vector3 } from '@holoscript/core';
/**
 * DeformableMesh.ts
 *
 * Deformable mesh: vertex displacement, spring-damper networks,
 * rigid shape matching for volume preservation, and impact deformation.
 *
 * Shape matching (Müller et al. 2005):
 *   q_i = rest_i - restCentroid          (rest offsets)
 *   p_i = current_i - currentCentroid    (deformed offsets)
 *   A   = Σ m_i * p_i ⊗ q_i            (3×3 covariance matrix)
 *   R   = polar decomposition of A       (rotation part via iterative SVD approx)
 *   goal_i = R * q_i + currentCentroid
 *
 * Handles rank-deficient (planar) covariance matrices by treating near-zero eigenvalues as zero.
 *
 * @module physics
 */
export interface DeformVertex {
    rest: Vector3;
    current: Vector3;
    velocity: Vector3;
    mass: number;
    locked: boolean;
}
export interface DeformSpring {
    a: number;
    b: number;
    restLength: number;
    stiffness: number;
    damping: number;
}
export interface DeformConfig {
    stiffness: number;
    damping: number;
    shapeMatchingStrength: number;
    maxDisplacement: number;
    plasticity: number;
}
export declare class DeformableMesh {
    private toArr3;
    private vertices;
    private springs;
    private config;
    private restCentroid;
    constructor(config?: Partial<DeformConfig>);
    setVertices(positions: Array<Vector3 | {
        x: number;
        y: number;
        z: number;
    }>): void;
    addSpring(a: number, b: number, stiffness?: number, damping?: number): void;
    autoConnectRadius(radius: number): void;
    private computeRestCentroid;
    applyImpact(center: Vector3 | {
        x: number;
        y: number;
        z: number;
    }, radius: number, force: number): void;
    update(dt: number): void;
    getVertices(): DeformVertex[];
    getVertex(index: number): DeformVertex | undefined;
    getVertexCount(): number;
    getSpringCount(): number;
    getDisplacement(index: number): number;
    getMaxDisplacement(): number;
}
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