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The most popular approaches for the simulation of dynamic systems in computer graphics are force based. Internal and external forces are accumulated from which accelerations are computed based on Newton's second law of motion. A time integration method is then used to update the velocities and finally the positions of the object. A few simulation methods(More)
We propose a new approach to collision and self– collision detection of dynamically deforming objects that consist of tetrahedrons. Tetrahedral meshes are commonly used to represent volumet-ric deformable models and the presented algorithm is integrated in a physically–based environment, which can be used in game engines and surgical simulators. The(More)
We present a new approach for simulating deformable objects. The underlying model is geometrically motivated. It handles pointbased objects and does not need connectivity information. The approach does not require any pre-processing, is simple to compute, and provides unconditionally stable dynamic simulations.The main idea of our deformable model is to(More)
Interactive environments for dynamically deforming objects play an important role in surgery simulation and entertainment technology. These environments require fast deformable models and very efficient collision handling techniques. While collision detection for rigid bodies is well-investigated, collision detection for deformable objects introduces(More)
In this paper, we present a versatile and robust model for geometrically complex deformable solids. Our approach can be applied to deformable tetrahedral meshes and to deformable triangle meshes. The model considers elastic and plastic deformation. It handles a large variety of material properties ranging from stiff to fluid-like behavior. Due to the(More)
In this paper, we present a method for simulating the interaction of fluids with deformable solids. The method is designed for the use in interactive systems such as virtual surgery simulators where the real-time interplay of liquids and surrounding tissue is important. In computer graphics, a variety of techniques have been proposed to model liquids and(More)
Image-space techniques have shown to be very efficient for collision detection in dynamic simulation and animation environments. This paper proposes a new image-space technique for efficient collision detection of arbitrarily shaped, watertight objects. In contrast to existing approaches that do not consider self-collisions, our approach combines the(More)
Penalty approaches can be used to efficiently resolve collisions of dynamically simulated rigid and deformable objects. These approaches compute penalty forces based on the penetration depth of intersecting objects and there exist many algorithms for estimating the exact penetration depth. However , in discrete-time simulations, this information can cause(More)
We present a new algorithm for the computation of volumetric intersections of geometrically complex objects, which can be used for the efficient detection of collisions. Our approach requires neither expensive setup nor sophisticated spatial data structures and is specifically suitable for handling deformable objects with arbitrarily shaped, closed(More)
This paper presents an approach to collision detection and response for dynamically deforming point-based objects. Both the volume of an object and its surface are represented by point sets. In case of a collision, response forces are computed for penetrating surface points and distributed to volume points which are used for simulating the object dynamics.(More)