Abstract
Deformation plays an essential role in expressing various properties of materials. In recent years, as video works have become increasingly high-definition, higher-definition deformation has also come to be required. One of the most common deformation simulation methods is mesh-based. However, due to the large amount of computation time, real-time applications cannot render detailed deformation such as the rippling of the object's surface. On the other hand, an approach using displacement mapping is known as a deformation simulation method that realizes real-time performance. However, this method is designed to be applied to a two-dimensional plane, and hence, when applied to an object surface which has a nonlinear relationship between the texture space and the real space, the deformation will be distorted by Jacobian to translate the coordinates. In this paper, we propose a novel method to simulate Jacobian-free deformation of arbitrary genus-0 surfaces by displacement mapping, which uses the real space coordinates to eliminate the distortion between the texture space and the real space.
