Ray-based haptic rendering: Force and torque interactions between a line probe and 3D objects in virtual environments

Virtual environments (VEs) that enable the user to touch, feel, and manipul ate virtual objects through haptic interactions are expected to have applic ations in many areas such as medicine CAD/CAM, entertainment, fine arts, an d education. The current state of technology allows the human operator to i nteract with virtual objects through the probe (such as a thimble or a styl us) of a force-reflecting haptic interface. Most of the current haptic inte raction algorithms model the probe as a single point and allow the user to feel the forces that arise from point interactions with virtual objects. In this paper; we propose a ray-based haptic-rendering algorithm that enables the user to touch and feel convex polyhedral objects with a line segment m odel of the probe. The ray-based haptic-rendering algorithm computes both f orces and torques due to collisions of the tip and/or side of the probe wit h multiple virtual objects, as required in simulating many tool-handling ap plications. Since the real-time simulation of haptic interactions between a 3D tool and objects is computationally quite expensive, the ray-based rend ering can be considered as an intermediate step toward achieving this goal by simplifying the computational model of the tool. To compare the ray- and point-based haptic interaction techniques in the haptic perception of 3D o bjects, we conducted perceptual experiments in which The participants were asked to identify the shape of four different 3D primitives (sphere, cone, cylinder; and cube) that were displayed in random order using both point- a nd ray-based techniques. The results of the study show that on average, 3D objects are recognized faster with ray-based rendering than with point-base d rendering.