Algorithm 1 . Bone and tissue decomposition.

Require: input X-ray image f(x,y)

(1) obtain the mask M(x,y) by active contour or user input

(2) compute T(x,y) by solving Eq. (9)

(3) compute α by Eq. (10)

(4) compute B(x,y) by Eq. (12)

Ensure: T(x,y), B(x,y)