Save image path in SharedPreference
SharedPreferences shre = PreferenceManager.getDefaultSharedPreferences(this);
Editor edit=shre.edit();
edit.putString("profilePic", picturePath);
edit.commit();
When activity start next time, check your SharedPreference. If exist, set image. The following codes may write in onCreate().
SharedPreferences prefs = PreferenceManager.getDefaultSharedPreferences(this);
String picturePath = prefs.getString("profilePic", "");
if(!picturePath.equals("")){
ImageView imageView = (ImageView) findViewById(R.id.imageView1);
imageView.setImageBitmap(BitmapFactory.decodeFile(picturePath));
}