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

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