/**
 * BodyOutlineCalculator - Computes body outline from spine chain
 *
 * Uses parametric equations to generate left/right boundaries
 * perpendicular to spine direction at each joint.
 */
import type { SpineChain } from "./SpineChain.js";
export interface Point {
    x: number;
    y: number;
}
export interface BodyOutline {
    leftPoints: Point[];
    rightPoints: Point[];
    headPoint: Point;
    tailPoint: Point;
}
export declare class BodyOutlineCalculator {
    /**
     * Calculate body outline from spine chain
     * Creates smooth left and right boundaries based on joint positions and widths
     */
    calculateOutline(spine: SpineChain): BodyOutline;
    /**
     * Draw smooth body path through outline points
     * Uses quadratic curves for organic appearance
     */
    drawBodyPath(ctx: CanvasRenderingContext2D, outline: BodyOutline): void;
    /**
     * Draw a smooth curve through points using quadratic beziers
     */
    private drawSmoothCurve;
    /**
     * Get point along outline for fin attachment
     * @param outline - Body outline
     * @param t - Position from 0 (head) to 1 (tail)
     * @param side - 'left' or 'right' side
     */
    getAttachmentPoint(outline: BodyOutline, t: number, side: "left" | "right"): Point;
    /**
     * Get center point along spine for eye/gill placement
     */
    getCenterPoint(spine: SpineChain, t: number): Point & {
        angle: number;
    };
}
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