New Geometric Data Structures for Collision Detection and by René Weller

By René Weller

Starting with novel algorithms for optimally updating bounding quantity hierarchies of items present process arbitrary deformations, the writer offers a brand new facts constitution that enables, for the 1st time, the computation of the penetration quantity. The penetration quantity is expounded to the water displacement of the overlapping sector, and hence corresponds to a bodily inspired and non-stop strength. The practicability of the ways used is proven by means of understanding new purposes within the box of robotics and haptics, together with a consumer learn that evaluates the impact of the levels of freedom in advanced haptic interactions. New Geometric facts buildings for Collision Detection and Haptics closes via presenting an open resource benchmarking suite that evaluates either the functionality and the standard of the collision reaction in an effort to warrantly a good comparability of alternative collision detection algorithms.

Required within the fields of special effects, physically-based simulations, computing device animations, robotics and haptics, collision detection is a primary challenge that arises each time we engage with digital items. many of the open demanding situations linked to collision detection contain the dealing with of deformable items, the sturdy computation of physically-plausible touch details, and the super excessive frequencies which are required for haptic rendering. New Geometric info buildings for Collision Detection and Haptics offers new ideas to all of those demanding situations, and should end up to be a important source for researchers and practitioners of collision detection within the haptics, robotics and special effects and animation domains.

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Extra info for New Geometric Data Structures for Collision Detection and Haptics

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Je et al. [96] presented a method based on their continuous collision detection algorithm using conservative advancement [212]: they constructed a linear convex cone around the collision free configuration found via CCD and then formulated a projection of the colliding configuration onto this cone as a linear complementarity problem iteratively. Also other metrics have been proposed for the characterization of penetrating objects: for instance, Zhang et al. [255] presented an extended definition of the pen- 22 2 A Brief Overview of Collision Detection etration depth that also takes the rotational component into account, called the generalized penetration depth.

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