Forked from:: Nao_u 's CatmullRom曲線

forked from: CatmullRom曲線

CatmullRom曲線
参考：
http://markun.cs.shinshu-u.ac.jp/learn/cg/cg3/index5.html

forked:1
favorite:16
lines:112
license : All rights reserved
modified : 2009-06-26 02:51:45

// forked from Nao_u's CatmullRom曲線
//
//　CatmullRom曲線
//
//　参考：
//    http://markun.cs.shinshu-u.ac.jp/learn/cg/cg3/index5.html
//
package {    
    import flash.display.*;    
    import flash.events.*;    
	import flash.geom.*;
	import flash.filters.*;
	import flash.utils.Timer;
	
    [SWF(width="465", height="465", backgroundColor="0xFFFFFF", frameRate="60")]     
    public class CatmullRomMain extends Sprite {

public function CatmullRomMain() {

var bg:Shape = new Shape();
			CANVAS = new Shape();
            var mtr:Matrix = new Matrix();
            mtr.createGradientBox(SCREEN_W*2, SCREEN_H*2, 0, -SCREEN_W/2, -SCREEN_H/2);
            bg.graphics.beginGradientFill(
                GradientType.RADIAL, 
                [0x0, 0xffffff], 
                [1, 1],
                [90, 255],
                mtr
            );
			bg.graphics.drawRect(0, 0, SCREEN_W, SCREEN_H);
			addChild(bg);
			
			BMD = new BitmapData(SCREEN_W, SCREEN_H, true, 0x00000000);
			addChild(new Bitmap(BMD));
//			addChild(CANVAS);
			
			//init
			var cr:CatmullRom = new CatmullRom
			(
				new Point( -SCREEN_W, SCREEN_H / 2),
				new Point(0, SCREEN_H / 2),
				new Point(SCREEN_W * 1.1, SCREEN_H / 2),
				new Point(SCREEN_W * 2, SCREEN_H / 2)
			);
			cr.draw();
			
			//evt
			stage.addEventListener(MouseEvent.MOUSE_MOVE, function ():void 
			{
				var dist:Number = Point.distance(new Point(mouseX, mouseY), new Point(SCREEN_W / 2, SCREEN_H / 2));
				
				var count:Number = (1 - dist / SCREEN_W*2) * 20;
				while (cr.innerPts.length < count) 
				{
					var pt:Point = new Point((Math.random() + Math.random()) / 2 * SCREEN_W, (Math.random() + Math.random()) / 2 * SCREEN_H );
					(0.2 < Math.random()) ? cr.innerPts.splice(cr.innerPts.length * Math.random(), 0, pt)
					: (0.5 < Math.random()) ? cr.innerPts.push(pt) : cr.innerPts.unshift(pt);
				}
				if(count < 1) count = 0;
				while (cr.innerPts.length > count) 
				{
					cr.innerPts.splice(cr.innerPts.length * Math.random(), 1);
				}
				cr.draw();
			});
			
			var timer:Timer = new Timer(50);
			timer.addEventListener(TimerEvent.TIMER, function ():void 
			{
				BMD.applyFilter(BMD, BMD.rect, new Point(), new BlurFilter(8, 8));
				BMD.colorTransform(BMD.rect, new ColorTransform(0.9,1,1, 0.85));
			});
			timer.start();

}    
    }    
}

import flash.display.*;    
import flash.events.*;    
import flash.geom.*; 
var SCREEN_W:Number = 465, SCREEN_H:Number = 465;   
var CANVAS:Shape;   
var BMD:BitmapData;

class CatmullRom{ 
    public var innerPts:Vector.<Point> = new Vector.<Point>;
	
	public var stOuterPt:Point;
	public var stInnerPt:Point;
	public var endInnerPt:Point;
	public var endOuterPt:Point;

public function CatmullRom(stOuterPt:Point, stInnerPt:Point, endInnerPt:Point, endOuterPt:Point) {
		this.stOuterPt = stOuterPt;
		this.stInnerPt = stInnerPt;
		this.endInnerPt = endInnerPt;
		this.endOuterPt = endOuterPt;
    }
    public function draw():void{
        var t:Number = 0;
		var DivNum:int = (innerPts.length + 1) * 10;
        var tAdd:Number = 1 / DivNum;
		stInnerPt = new Point(0, (Math.random() + Math.random()) / 2 * SCREEN_H);
		endInnerPt = new Point(SCREEN_W *1.1, (Math.random() + Math.random()) / 2 * SCREEN_H);
		
        var pt:Point = getPosition( 0.0 );
		
		var g:Graphics = CANVAS.graphics;
		g.clear();
		g.lineStyle(0, 0xffffff, 0.5);
		g.moveTo(pt.x, pt.y);
		
        for( var lp:int = 0; lp < DivNum; lp++,t += tAdd ){
            pt = getPosition( t );
			g.lineTo(pt.x, pt.y);
        }
		
		BMD.draw(CANVAS);
    }
    public function getPosition( t:Number ):Point{
        var ret:Point = new Point();		
		var pts:Vector.<Point> = Vector.<Point>([stOuterPt, stInnerPt]).concat(innerPts).concat(Vector.<Point>([endInnerPt, endOuterPt]));
        var div:Number = (1 / (innerPts.length + 1));
        var idx:int = t / div;
        var tt:Number = (t - div * idx) / div;
        ret.x = catmullRom( pts[idx].x, pts[idx+1].x, pts[idx+2].x, pts[idx+3].x, tt)
        ret.y = catmullRom( pts[idx].y, pts[idx+1].y, pts[idx+2].y, pts[idx+3].y, tt)
        return ret;
    }

public function catmullRom( x0:Number, x1:Number, x2:Number, x3:Number, t:Number ):Number{
        var v0:Number = (x2 - x0) / 2.0;    
        var v1:Number = (x3 - x1) / 2.0;    
        var t2:Number = t * t;
        var t3:Number = t2 * t;
        return ( 2.0 * x1 - 2.0 * x2 + v0 + v1 ) * t3 + ( -3.0 * x1 + 3.0 * x2 - 2.0 * v0 - v1 ) * t2 + v0 * t + x1;
        
    }
}

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