Real-time ray casting of algebraic B-spline surfaces

► Real-time ray casting ABS surface on GPU. ► Rather than solving a univariate polynomial equation, we iteratively solve a nonlinear tri-variate polynomial system in object space to find first hit point, where initial guess is determined via isotopic polygonization. ► Adopting initial guesses by rasterization of isotopic polygonal mesh. ► Isolating roots by using polar surface. ► Explicitly computing silhouette and anti-aliasing along silhouette.