Phi-Functions for 2D Objects Formed by Line Segments and Circular Arcs

Table 5

The object 𝐴=𝐻₁∪𝐻₂∪𝐻₃∪𝐻₄ (Figure 20) is the union of four overlapping hats. Hats are specified as in Table 4. We note that all the circular arcs bounding these four hats have radius 𝑟=5.0.

Hat	𝑥1,𝑦1	𝑥2,𝑦2	𝑥𝐶,𝑦𝐶	𝑥𝑣,𝑦𝑣
𝐻1	−4.284755,−1.280657	0.682614,4.236157	−4.290604,3.719339	1.255249,−1.274177
𝐻2	−2.848702,−4.982908	−2.848694,2.440703	−6.198698,−1.271100	1.263989,−1.271107
𝐻3	4.249704,−0.281005	−0.717661,−5.79782	4.255557,−5.281	−1.2903,−0.287489
𝐻4	2.813649,3.421245	2.813646,−4.002366	6.163647,−0.29056	−1.29904,−0.290559