Improve the animation performance (only re-draw the partial background)

i had an application involving animation. the whole animation is done without any external image files used. all the background and objects are hard coded drawn.
double buffering technique is used and the 1st code template is as follow:
paint
     draw_background_image
     draw_foreground_moving_object_at_latest_location
update
     draw_background_image
     draw_foreground_moving_object_at_latest_location
A thread calls repaint(int x, int y, int width, int height) where x, y, width and height is the rectangle region form by the object new location and the object old location. however, i stil found my application performance not too good :(
i was wondering whether i can have the performance of application improved with the following 2nd code template? (i havent implemented it yet since i do not know which API for me to achieve certain tasks)
paint
     draw_background_image
     draw_foreground_moving_image_at_latest_location
update
     draw_PORTION_OF_background_image_that_covered_by_previous_moving_object
     draw_foreground_moving_image_at_latest_location
in that case,
1. is the 2nd correct way to do animation compared with the 1st way?
2. if so, do i need to store portion_of_background_image_that_covered_by_previous_moving_object, the x and y location of the covered background image......? what API should i use in order for me to do so?
thank you very much!
regards
yan cheng

Here's a post from the game forum which will get you started
http://forum.java.sun.com/thread.jsp?forum=406&thread=417063&message=1844507#1844507

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