函数以编程方式设置角半径

static void setCornerRadius(GradientDrawable drawable, float topLeft,
        float topRight, float bottomRight, float bottomLeft) {
    drawable.setCornerRadii(new float[] { topLeft, topLeft, topRight, topRight,
            bottomRight, bottomRight, bottomLeft, bottomLeft });
}

static void setCornerRadius(GradientDrawable drawable, float radius) {
    drawable.setCornerRadius(radius);
}

使用

GradientDrawable gradientDrawable = new GradientDrawable();
gradientDrawable.setColor(Color.GREEN);
setCornerRadius(gradientDrawable, 20f);
//or setCornerRadius(gradientDrawable, 20f, 40f, 60f, 80f); 

view.setBackground(gradientDrawable);

1:在drawables中定义layout_bg.xml:

<?xml version="1.0" encoding="UTF-8"?>
<shape xmlns:android="http://schemas.android.com/apk/res/android">
    <solid android:color="#FFFFFF"/>
    <stroke android:width="3dp" android:color="#B1BCBE" />
    <corners android:radius="10dp"/>
    <padding android:left="0dp" android:top="0dp" android:right="0dp" android:bottom="0dp" />
</shape>

2:添加layout_bg.xml作为布局的背景

android:background="@drawable/layout_bg"

下面是一个XML文件的副本，用于创建一个具有白色背景，黑色边框和圆角的可绘制对象:

 <?xml version="1.0" encoding="UTF-8"?> 
    <shape xmlns:android="http://schemas.android.com/apk/res/android"> 
        <solid android:color="#ffffffff"/>    

        <stroke android:width="3dp"
                android:color="#ff000000"
                />

        <padding android:left="1dp"
                 android:top="1dp"
                 android:right="1dp"
                 android:bottom="1dp"
                 /> 

        <corners android:bottomRightRadius="7dp" android:bottomLeftRadius="7dp" 
         android:topLeftRadius="7dp" android:topRightRadius="7dp"/> 
    </shape>

将其保存为可绘制目录下的XML文件， 使用它就像使用任何可绘制的背景(图标或资源文件)，使用它的资源名(R.drawable.your_xml_name)

<?xml version="1.0" encoding="UTF-8"?>
<shape xmlns:android="http://schemas.android.com/apk/res/android">
    <solid android:color="#FFFFFF"/>
    <stroke android:width="3dip" android:color="#B1BCBE" />
    <corners android:radius="10dip"/>
    <padding android:left="3dip" android:top="3dip" android:right="3dip" android:bottom="3dip" />
</shape>

@David，只是把padding的值和stroke一样，所以无论图像大小，边框都是可见的

函数以编程方式设置角半径

static void setCornerRadius(GradientDrawable drawable, float topLeft,
        float topRight, float bottomRight, float bottomLeft) {
    drawable.setCornerRadii(new float[] { topLeft, topLeft, topRight, topRight,
            bottomRight, bottomRight, bottomLeft, bottomLeft });
}

static void setCornerRadius(GradientDrawable drawable, float radius) {
    drawable.setCornerRadius(radius);
}

使用

GradientDrawable gradientDrawable = new GradientDrawable();
gradientDrawable.setColor(Color.GREEN);
setCornerRadius(gradientDrawable, 20f);
//or setCornerRadius(gradientDrawable, 20f, 40f, 60f, 80f); 

view.setBackground(gradientDrawable);

 <shape xmlns:android="http://schemas.android.com/apk/res/android"
android:padding="@dimen/_10sdp"
android:shape="rectangle">

<solid android:color="@color/header" />

<corners
    android:bottomLeftRadius="@dimen/_5sdp"
    android:bottomRightRadius="@dimen/_5sdp"
    android:topLeftRadius="@dimen/_5sdp"
    android:topRightRadius="@dimen/_5sdp" />