A Recursive Taylor Method for Ray Casting Algebraic Surfaces

In this paper, we propose a recursive Taylor method for ray-casting algebraic surfaces. The performance of this approach is compared with four other candidate approaches to raycasting: using interval arithmetic on the power form, using interval arithmetic on centered forms, using affine arithmetic, and using modified affine arithmetic. Test results show that the recursive Taylor method compares favorably to the other methods.

• Type: Conference
• Year: 2006
• Where: CGVR
• Authors: Huahao Shou, Wenhao Song, Jie Shen, Ralph Martin, Guojin Wang
• Keywords: Affine Arithmetic, CGVR 2006, CGVR 2007, Interval Arithmetic, Recursive Taylor Method