a star算法+list,减少遍历的开销

本文针对A*算法在大型地图上的效率问题,提出了使用有序链表替代数组存储开放列表的方法,以此减少每次查找最小F值节点所需的遍历次数,进而提高算法的整体运行效率。

问题


上一节,已经把a-star基本思想实践了一下,但是有个问题,就是慢

这一篇,使用list存储openlist

原因

看上次的代码
function loop(){
				if(findit==true){
				return ;
				}
				var fvalue=openlist[0].f;
				var currenttile=null;
				var openlistkey=0;
				for(var key in openlist){
					var tile=openlist[key];
					if(fvalue>=tile.f){
						fvalue=tile.f;
						currenttile=tile;
						openlistkey=key;
					}
				}
				closetile(currenttile);
				openlist.splice(openlistkey,1);
				
				checkNeighbourTile(currenttile);
			

			}

从openlist里面找到一个F值最小的tile,上次用的是数组,插入的时候也是随便插入的,所以,里面是乱序的,先找到最小的,必须遍历整个openlist,每一次loop都遍历,如果地图很大,开销也会很大, 所以优化点可以用list代替数组,然后插入的时候按照大小插入,这样整个list是按照F值从小到大的
每次loop就可以只要第一个节点,这样可以节省很多不必要的循环开销

代码

1.优化使用链表存储openlist
2.在tile身上存储是不是open,或者是不是close
3.修复一些bug
<html>
	<head>
		<style>
			.tile{
				float:left;
				width:50px;
				height:50px;
				display:block;
				border:3px solid black;
			}
			.tileclose{
				float:left;
				width:50px;
				height:50px;
				display:block;
				border:3px solid blue;
			}
			.tileopen{
				float:left;
				width:50px;
				height:50px;
				display:block;
				border:3px solid green;
			}
			.tilepath{
				float:left;
				width:50px;
				height:50px;
				display:block;
				background-color:black;
			}
			.f{
				color:#E1E100;
				font-weight:bold;
				font-size:16px;
				line-height:25px;
				display:inline-block;
				width:50px;
				height:25px;
			}
			.g{
				font-weight:bold;
				font-size:10px;
				line-height:25px;
				text-align:left;
				display:inline-block;
				width:25px;
				height:25px;
			}
			.h{
				font-weight:bold;
				line-height:25px;
				font-size:8px;
				text-align:right;
				display:inline-block;
				width:15px;
				color:red;
				height:25px;
			}
		</style>
		<script>
			function keydown() {
				if((event.keyCode==65 ||event.keyCode==13)) {
					loop();	
				}
			}
			function  click(e){
				if(e.target.className=='tile'){
					var a=e.target.id;
					var arr=a.split('_');
					var x=arr[1];
					var y=arr[2];
					setblock(x,y);
				}
				if(e.target.nodeName=="SPAN"){
					var a=e.target.parentNode.id;
					var arr=a.split('_');
					var x=arr[1];
					var y=arr[2];
					setblock(x,y);
				}
			}
			document.onmousedown=click;
		</script>
	</head>
	<body onkeydown="keydown();">
		<div class="controll">
			<input type="button" onclick="loop();" value="go" />
		</div>
		<div id="tile_0_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_1_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_2_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_3_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_4_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_5_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_6_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_7_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_8_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_9_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_10_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_11_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_12_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_13_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_14_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_15_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_16_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_17_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_18_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_19_15" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div style="clear:both">
		</div>
		<div id="tile_0_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_1_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_2_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_3_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_4_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_5_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_6_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_7_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_8_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_9_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_10_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_11_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_12_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_13_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_14_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_15_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_16_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_17_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_18_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_19_14" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div style="clear:both">
		</div>
		<div id="tile_0_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_1_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_2_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_3_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_4_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_5_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_6_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_7_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_8_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_9_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_10_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_11_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_12_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_13_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_14_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_15_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_16_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_17_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_18_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_19_13" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div style="clear:both">
		</div>
		<div id="tile_0_12" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_1_12" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_2_12" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_3_12" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_4_12" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_5_12" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_6_12" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_7_12" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_8_12" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
			<span id="hvalue" class="h">
			</span>
			
		</div>
		
		<div id="tile_9_12" class="tile">
			
			<span id="fvalue" class="f">
			</span>
			
			<span id="gvalue" class="g">
			</span>
			
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基于数据驱动的 Koopman 算子的递归神经网络模型线性化,用于纳米定位系统的预测控制研究(Matlab代码实现)内容概要:本文围绕“基于数据驱动的Koopman算子的递归神经网络模型线性化”展开,旨在研究纳米定位系统的预测控制方法。通过结合数据驱动技术与Koopman算子理论,将非线性系统动态近似为高维线性系统,进而利用递归神经网络(RNN)建模并实现系统行为的精确预测。文中详细阐述了模型构建流程、线性化策略及在预测控制中的集成应用,并提供了完整的Matlab代码实现,便于科研人员复现实验、优化算法并拓展至其他精密控制系统。该方法有效提升了纳米级定位系统的控制精度与动态响应性能。; 适合人群:具备自动控制、机器学习或信号处理背景,熟悉Matlab编程,从事精密仪器控制、智能制造或先进控制算法研究的研究生、科研人员及工程技术人员。; 使用场景及目标:①实现非线性动态系统的数据驱动线性化建模;②提升纳米定位平台的轨迹跟踪与预测控制性能;③为高精度控制系统提供可复现的Koopman-RNN融合解决方案; 阅读建议:建议结合Matlab代码逐段理解算法实现细节,重点关注Koopman观测矩阵构造、RNN训练流程与模型预测控制器(MPC)的集成方式,鼓励在实际硬件平台上验证并调整参数以适应具体应用场景。
### 回答1: A*算法是一种搜索算法,用于寻找图中的最短路径。它综合了Dijkstra算法和启发式搜索的思想。A*算法通过评估每个节点的代价函数来指导搜索路径,代价函数是从初始节点到当前节点的实际路径代价和预估剩余路径代价的和。以下是A*算法的实现步骤: 1. 初始化两个集合:open集合和closed集合。open集合存放待探索节点,closed集合存放探索完成节点。 2. 将起始节点加入open集合,并设置起始节点的代价函数值为0。 3. 当open集合不为空时,重复以下步骤: 3.1 从open集合中选择代价函数值最小的节点作为当前节点。 3.2 将当前节点从open集合中移除,并加入closed集合。 3.3 对当前节点周围的邻居节点进行遍历。 3.3.1 如果邻居节点已在closed集合中,则忽略该节点。 3.3.2 否则,如果邻居节点不在open集合中,将该节点加入open集合,并更新该节点的代价函数值。 3.3.3 否则,如果邻居节点已在open集合中,比较当前路径和之前路径的代价函数值,如果当前路径更优,则更新邻居节点的代价函数值。 3.4 如果目标节点在closed集合中,则搜索完成,回溯路径。 4. 如果open集合为空,说明无法到达目标节点,搜索失败。 A*算法通过估计函数来预测从当前节点到目标节点的剩余路径代价。常见的估计函数有启发式函数(例如曼哈顿距离)和直线距离函数等。A*算法根据代价函数值最小的节点进行搜索,因此具有较高的搜索效率和较低的搜索成本。 总结起来,A*算法通过综合考虑实际路径代价和剩余路径代价来指导搜索路径,从而找到图中的最短路径。 ### 回答2: A*算法是一种常用于解决图形搜索问题的启发式搜索算法。它通过在搜索过程中综合考虑已经走过的路径距离和当前节点到目标节点的预估距离,来选择下一个被扩展的节点。 A*算法实现的运行步骤如下: 1. 首先,需要定义问题的初始状态和目标状态,并将初始状态作为搜索的起点。 2. 创建一个队列(通常使用优先队列),用于存储待扩展的节点。将起点加入队列,并初始化已走过的路径距离为0。 3. 当队列不为空时,重复以下步骤: a. 从队列中取出具有最小综合评估值(即路径距离+预估距离)的节点。 b. 如果当前节点为目标状态,搜索结束,找到了一条最优路径。 c. 否则,将当前节点标记为已访问,并获取其所有可达的邻居节点。 d. 对于每个邻居节点,计算它的路径距离(起点到该邻居节点的路径距离)和预估距离(该邻居节点到目标节点的预估距离)。 e. 将邻居节点加入队列,并更新起点到邻居节点的路径距离。 4. 如果队列为空,搜索失败,无法找到目标状态。 5. 如果找到目标状态,可以通过回溯来获取最优路径。 A*算法的关键在于如何选择合适的启发式函数来评估节点的预估距离。常见的启发式函数有曼哈顿距离、欧几里得距离等。选择适合问题特点的启发式函数可以提高A*算法的效率和准确性。 总结来说,A*算法通过综合考虑已走过的路径距离和当前节点到目标节点的预估距离来选择下一个被扩展的节点,从而在搜索过程中找到一条最优路径。 ### 回答3: A*算法是一种用于解决图形搜索问题的启发式搜索算法。它被广泛应用于路径规划、人工智能、游戏和机器人控制等领域。A*算法的基本思想是综合考虑两个因素:路径的实际开销和路径距离的估计开销。以下是A*算法的实现步骤: 1. 初始化:将起始节点放入开放列表(open list)中,并将起始节点的估计距离设为0。 2. 循环直到找到目标节点或者开放列表为空: a. 从开放列表中选择具有最小估计距离的节点作为当前节点,将该节点从开放列表中移除并添加到关闭列表(closed list)中。 b. 对当前节点的每个邻居节点执行以下操作: - 如果邻居节点已在关闭列表中,则忽略它。 - 如果邻居节点不在开放列表中,则将其添加到开放列表中,并计算它的估计距离(通过启发式函数和实际开销进行综合评估)和实际开销。 - 如果邻居节点已经在开放列表中,则检查是否通过当前节点到达邻居节点的路径更好(即实际开销是否更小)。如果是,则更新邻居节点的父节点为当前节点,并更新邻居节点的估计距离和实际开销。 3. 如果循环结束时开放列表为空,则表示未找到目标节点,搜索失败。反之,从目标节点开始通过父节点回溯路径,直到达到起始节点。 A*算法通过启发式函数,如曼哈顿距离或欧几里得距离,对路径的估计距离进行评估,以选择最有可能的路径。这使得A*算法能够在保证最优解的情况下,有效地搜索大规模图形。
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