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All you have to do is,

1. Find contour.

2. Draw each contour with thickness=CV_FILLED.

3. Now for each contour apply thinning algorithm as explained here.

See the result I got for your sample image.

All you have to do is,

1. Find contour.

2. Draw each contour with thickness=CV_FILLED.

3. Now for each contour apply thinning algorithm as explained here.

See the result I got for your the above sample image.