Noura Dawass

2 30 S HAPE E FFECTS (a) (b) Figure 2.1: (a) The function w ( x ) for a line (1 D ), circle (2 D ), and a sphere (3 D ). The function w ( x ) is computed numerically using the MC algorithm provided in section 2.2 and the analytic functions are listed in Table 1.1. In all cases, the numerical solution matches the theoretical expressions of w ( x ). (b) The function w ( x ) for a sphere and a cube.