Area partition method

This method consists of three steps:

1. Divide original volume into $n+1$ small volumes based on fault surfaces assuming the fault number is $n$;
2. Pad all the small volumes with zero slope (horizontally) to make them only contain complete traces;
3. Do the following iterations: perform predictive painting in the first small volume, then use the fault slip information of the first fault to correct the painting result, repeat these two steps until the predictive painting is complete in the last small volume.

The area partition method is based on two observations: 1) predictive painting treats a whole trace as the basic unit and 2) predictive painting with zero slope does not change the spreading information. This method adopts the divide and conquer strategy and depends on the explicit area partition, so it is simple to implement as long as the original image is easily divisible.