Haptic Rendering of Thin, Deformable Objects with Spatially Varying Stiffness
This addresses the challenge of realistic haptic feedback for inhomogeneous materials in virtual reality or medical simulations, though it appears incremental as it builds on existing physics-based rendering techniques.
The paper tackled the problem of haptic rendering of thin, deformable objects with spatially varying stiffness, such as human skin, by proposing a method that uses Kirchhoff thin plate theory and Gall-Peters mapping to approximate 3D surfaces as 2D planes, and it was validated as realistic through user experiments.
In the real world, we often come across soft objects having spatially varying stiffness, such as human palm or a wart on the skin. In this paper, we propose a novel approach to render thin, deformable objects having spatially varying stiffness (inhomogeneous material). We use the classical Kirchhoff thin plate theory to compute the deformation. In general, the physics-based rendering of an arbitrary 3D surface is complex and time-consuming. Therefore, we approximate the 3D surface locally by a 2D plane using an area-preserving mapping technique - Gall-Peters mapping. Once the deformation is computed by solving a fourth-order partial differential equation, we project the points back onto the original object for proper haptic rendering. The method was validated through user experiments and was found to be realistic.