要实现Android-Custom View严格保持在布局的自定义边界内，可以使用以下解决方法：

1. 在Custom View的构造函数中，使用setWillNotDraw(false)来确保Custom View会被绘制。

public class CustomView extends View {
    public CustomView(Context context) {
        super(context);
        setWillNotDraw(false);
    }
}

2. 在Custom View的onMeasure()方法中，根据布局的宽度和高度来确定Custom View的实际大小，并确保它不超出布局的边界。

@Override
protected void onMeasure(int widthMeasureSpec, int heightMeasureSpec) {
    int desiredWidth = ...; // 自定义宽度
    int desiredHeight = ...; // 自定义高度

    int widthMode = MeasureSpec.getMode(widthMeasureSpec);
    int widthSize = MeasureSpec.getSize(widthMeasureSpec);
    int heightMode = MeasureSpec.getMode(heightMeasureSpec);
    int heightSize = MeasureSpec.getSize(heightMeasureSpec);

    int width, height;

    if (widthMode == MeasureSpec.EXACTLY) {
        width = widthSize;
    } else if (widthMode == MeasureSpec.AT_MOST) {
        width = Math.min(desiredWidth, widthSize);
    } else {
        width = desiredWidth;
    }

    if (heightMode == MeasureSpec.EXACTLY) {
        height = heightSize;
    } else if (heightMode == MeasureSpec.AT_MOST) {
        height = Math.min(desiredHeight, heightSize);
    } else {
        height = desiredHeight;
    }

    setMeasuredDimension(width, height);
}

3. 在Custom View的onLayout()方法中，根据布局的边界，计算Custom View的实际位置。

@Override
protected void onLayout(boolean changed, int left, int top, int right, int bottom) {
    int width = right - left;
    int height = bottom - top;

    // 计算Custom View的实际位置
    int customViewLeft = ...;
    int customViewTop = ...;
    int customViewRight = customViewLeft + width;
    int customViewBottom = customViewTop + height;

    layout(customViewLeft, customViewTop, customViewRight, customViewBottom);
}

4. 在Custom View的onDraw()方法中，绘制Custom View的内容。

@Override
protected void onDraw(Canvas canvas) {
    super.onDraw(canvas);

    // 在Custom View内部绘制内容
    // ...
}

通过以上步骤，Custom View就能够严格保持在布局的自定义边界内了。