circles = [ [ 1.6417233788, 1.6121789534, 0.0848270516], [-1.4944608174, 1.2077959613, 1.1039549836], [ 0.6110294452, -0.6907087527, 0.9089162485], [ 0.3844862411, 0.2923344616, 0.2375743054], [-0.2495892950, -0.3832854473, 1.0845181219], [ 1.7813504266, 1.6178237031, 0.8162655711], [-0.1985249206, -0.8343333301, 0.0538864941], [-1.7011985145, -0.1263820964, 0.4776976918], [-0.4319462812, 1.4104420482, 0.7886291537], [ 0.2178372997, -0.9499557344, 0.0357871187], [-0.6294854565, -1.3078893852, 0.7653357688], [ 1.7952608455, 0.6281269104, 0.2727652452], [ 1.4168575317, 1.0683357171, 1.1016025378], [ 1.4637371396, 0.9463877418, 1.1846214562], [-0.5263668798, 1.7315156631, 1.4428514068], [-1.2197352481, 0.9144146579, 1.0727263474], [-0.1389358881, 0.1092805780, 0.7350208828], [ 1.5293954595, 0.0030278255, 1.2472867347], [-0.5258728625, 1.3782633069, 1.3495508831], [-0.1403562064, 0.2437382535, 1.3804956588], [ 0.8055826339, -0.0482092025, 0.3327165165], [-0.6311979224, 0.7184578971, 0.2491045282], [ 1.4685857879, -0.8347049536, 1.3670667538], [-0.6855727502, 1.6465021616, 1.0593087096], [ 0.0152957411, 0.0638919221, 0.9771215985], ] def minmax_circle(circles) xmin = circles.map {|xc, yc, radius| xc - radius}.min xmax = circles.map {|xc, yc, radius| xc + radius}.max ymin = circles.map {|xc, yc, radius| yc - radius}.min ymax = circles.map {|xc, yc, radius| yc + radius}.max [xmin, xmax, ymin, ymax] end # remove internal circle def select_circle(circles) circles = circles.sort_by{|cx,cy,r| -r} size = circles.size select = [*0...size] for i in 0...size-1 xi,yi,ri = circles[i].to_a for j in i+1...size xj,yj,rj = circles[j].to_a select -= [j] if (xi-xj)**2 + (yi-yj)**2 <= (ri-rj)**2 end end circles.values_at(*select) end circles = select_circle(circles)