- Real x(i);
- x /= maxi;
- Real y = a*(x*x*x) + b*(x*x) + c*x + d;
- if ( ((y < Real(0)) && (prevRes > Real(0))) || ((y > Real(0)) && (prevRes < Real(0))))
+ if (type != Bezier::UNKNOWN)
+ return type;
+ // From Loop-Blinn 2005, with w0 == w1 == w2 == w3 = 1
+ // Transformed control points: (a0 = x0, b0 = y0)
+ BReal a1 = (x1-x0)*BReal(3);
+ BReal a2 = (x0- x1*BReal(2) +x2)*BReal(3);
+ BReal a3 = (x3 - x0 + (x1 - x2)*BReal(3));
+
+ BReal b1 = (y1-y0)*BReal(3);
+ BReal b2 = (y0- y1*BReal(2) +y2)*BReal(3);
+ BReal b3 = (y3 - y0 + (y1 - y2)*BReal(3));
+
+ // d vector (d0 = 0 since all w = 1)
+ BReal d1 = a2*b3 - a3*b2;
+ BReal d2 = a3*b1 - a1*b3;
+ BReal d3 = a1*b2 - a2*b1;
+
+ if (Abs(d1+d2+d3) < BReal(1e-6))