Approximating polyhedra with spheres for time-critical collision detection
ACM Transactions on Graphics (TOG)
Adaptive medial-axis approximation for sphere-tree construction
ACM Transactions on Graphics (TOG)
Mathematics for 3D Game Programming and Computer Graphics, Second Edition
Mathematics for 3D Game Programming and Computer Graphics, Second Edition
Variational sphere set approximation for solid objects
The Visual Computer: International Journal of Computer Graphics
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An interactive computer-based training tool for using in Orthodontics is aimed at students and experienced professionals who need to predict orthodontic treatment outcomes, including the determination whether and where the teeth are coming into contact. Fundamental to achieve the best possible fit is the relative position of the teeth within the dental arch and with the opposing arches. In this paper we present the implementation and analysis of different types of discrete and continuous collision detection algorithms that meet performance goals, suitable for moving teeth simulation. The obtained results show that the collision detection algorithms implemented using Sphere-Trees provide quite acceptable accuracy while maintaining interactive visualization.