关于android：OutOfMemoryError：使用1080 * 1920的图像执行启动页面

OutOfMemoryError: Using a image which is 1080*1920 do the splash page

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我想在我的Android应用程序中实现启动页面。所以在布局xml中，有一个imageView，而图像文件是一个1080*1920的png文件，当运行app时，会发生OutOfMemoryError错误，我该如何解决？

XML文件：

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<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
android:orientation="vertical" android:layout_width="match_parent"
android:layout_height="match_parent">

<ImageView
android:layout_width="match_parent"
android:layout_height="match_parent"
android:background="@drawable/welcome1"/>

</LinearLayout>

错误信息：

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04-17 18:40:16.038 29793-29793/cn.test.android E/AndroidRuntime﹕ FATAL EXCEPTION: main
Process: cn.test.android, PID: 29793
java.lang.OutOfMemoryError
at android.graphics.BitmapFactory.nativeDecodeAsset(Native Method)
at android.graphics.BitmapFactory.decodeStream(BitmapFactory.java:597)
at android.graphics.BitmapFactory.decodeResourceStream(BitmapFactory.java:432)
at android.graphics.drawable.Drawable.createFromResourceStream(Drawable.java:840)
at android.content.res.Resources.createFromResourceStream(Resources.java:2477)
at android.content.res.Resources.loadDrawable(Resources.java:2136)
at android.content.res.MiuiResources.loadDrawable(MiuiResources.java:320)
at android.content.res.Resources.getDrawable(Resources.java:710)
at android.widget.ImageView.resolveUri(ImageView.java:638)
at android.widget.ImageView.setImageResource(ImageView.java:367)
at cn.test.android.LandingPageActivity$1.instantiateItem(LandingPageActivity.java:40)
at android.support.v4.view.ViewPager.addNewItem(ViewPager.java:837)
at android.support.v4.view.ViewPager.populate(ViewPager.java:987)
at android.support.v4.view.ViewPager.populate(ViewPager.java:919)
at android.support.v4.view.ViewPager.onMeasure(ViewPager.java:1441)
at android.view.View.measure(View.java:16508)
at android.view.ViewGroup.measureChildWithMargins(ViewGroup.java:5125)
at android.widget.LinearLayout.measureChildBeforeLayout(LinearLayout.java:1404)
at android.widget.LinearLayout.measureVertical(LinearLayout.java:695)
at android.widget.LinearLayout.onMeasure(LinearLayout.java:588)
at android.view.View.measure(View.java:16508)
at android.view.ViewGroup.measureChildWithMargins(ViewGroup.java:5125)
at android.widget.FrameLayout.onMeasure(FrameLayout.java:310)
at android.view.View.measure(View.java:16508)
at android.view.ViewGroup.measureChildWithMargins(ViewGroup.java:5125)
at android.widget.LinearLayout.measureChildBeforeLayout(LinearLayout.java:1404)
at android.widget.LinearLayout.measureVertical(LinearLayout.java:695)
at android.widget.LinearLayout.onMeasure(LinearLayout.java:588)
at android.view.View.measure(View.java:16508)
at android.view.ViewGroup.measureChildWithMargins(ViewGroup.java:5125)
at android.widget.FrameLayout.onMeasure(FrameLayout.java:310)
at com.android.internal.policy.impl.PhoneWindow$DecorView.onMeasure(PhoneWindow.java:2291)
at android.view.View.measure(View.java:16508)
at android.view.ViewRootImpl.performMeasure(ViewRootImpl.java:1946)
at android.view.ViewRootImpl.measureHierarchy(ViewRootImpl.java:1143)
at android.view.ViewRootImpl.performTraversals(ViewRootImpl.java:1325)
at android.view.ViewRootImpl.doTraversal(ViewRootImpl.java:1030)
at android.view.ViewRootImpl$TraversalRunnable.run(ViewRootImpl.java:5639)
at android.view.Choreographer$CallbackRecord.run(Choreographer.java:761)
at android.view.Choreographer.doCallbacks(Choreographer.java:574)
at android.view.Choreographer.doFrame(Choreographer.java:544)
at android.view.Choreographer$FrameDisplayEventReceiver.run(Choreographer.java:747)
at android.os.Handler.handleCallback(Handler.java:733)
at android.os.Handler.dispatchMessage(Handler.java:95)
at android.os.Looper.loop(Looper.java:136)
at android.app.ActivityThread.main(ActivityThread.java:5047)
at java.lang.reflect.Method.invokeNative(Native Method)
at java.lang.reflect.Method.invoke(Method.java:515)
at com.android.internal.os.ZygoteInit$MethodAndArgsCaller.run(ZygoteInit.java:806)
at com.android.internal.os.ZygoteInit.main(ZygoteInit.java:622)
at dalvik.system.NativeStart.main(Native Method)