Overview
Collision detection is an integral component of game engines that are designed to provide realistic animations of object interactions with the player and the game environment. Physically realistic dynamic simulations such as flight simulators and mobile robot simulators also require efficient collision detection algorithms. Intersection tests form the backbone of collision detection algorithms. They are also used in ray tracing algorithms, acceleration algorithms such as view frustum culling and portal culling, and in real-time animations. This chapter gives an extensive coverage of methods used for testing if primitives and bounding volumes overlap.
Collision detection in a large scene consisting of several objects requires efficient methods to minimize the number of intersection tests. This chapter discusses the usefulness of bounding volume hierarchies and spatial partitioning trees such as octrees, k-d trees and bounding interval hierarchies, and includes a coverage of important algorithms in each category.
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References
Cline, D., Steele, K., & Egbert, P. (2006). Lightweight bounding volumes for ray tracing. Journal of Graphics Tools, 11(4), 61–71.
de Berg, M. (2000). Computational geometry: Algorithms and applications (2nd rev. ed.). New York: Springer.
Eberly, D. H. (2007). 3D game engine design: A practical approach to real-time computer graphics (2nd ed.). Amsterdam/London: Morgan Kaufmann.
Eberly, D. H. (2010). Game physics (2nd ed.). Burlington: Morgan Kaufmann/Elsevier.
Ericson, C. (2005). Real-time collision detection. Amsterdam/Boston: Elsevier.
Gottschalk, S., Lin, M. C., & Manocha, D. (1996). OBB-Tree: A hierarchical structure for rapid interference detection. In: Computer graphics (SIGGRAPH), New Orleans.
Hapala, M., & Havran, V. (2011). Kd-tree traversal algorithms for ray tracing. Computer Graphics Forum, 30(1), 199–213.
Kay, T. L., & Kajiya, J. T. (1986). Ray tracing complex scenes. In: Proceedings of computer graphics SIGGRAPH-86 (pp. 269–278).
Klosowski, J. T., Held, M., et al. (1998). Efficient collision detection using bounding volume hierarchies of k-DOPs. IEEE Transactions on Visualization and Computer Graphics, 4(1), 21–36.
Moller, T. (1997). A fast triangle-triangle intersection test. Journal of Graphics, GPU and Game Tools, 2(2), 25–30.
Moller, T., Haines, E., & Hoffman, N. (2008). Real-time rendering (3rd ed.). Wellesley: A.K. Peters.
O’Rourke, J. (1998). Computational geometry in C (2nd ed.). Cambridge: Cambridge University Press.
Raabe, A., Tietjen, T., & Anlauf J. K. (2009). An exact and efficient triangle intersection test hardware. International conference on computer graphics theory (GRAPP-09), Lisbon.
Samet, H. (1990a). Applications of spatial data structures: Computer graphics, image processing, and GIS. Reading: Addison-Wesley.
Samet, H. (1990b). The design and analysis of spatial data structures. Reading: Addison-Wesley.
Toussaint, G. (1983). Solving geometric problems with the rotating calipers. In: 2nd IEEE Mediterranean Electrotechnical Conference (MELECON '83), Athens.
van den Bergen, G. (1997). Efficient collision detection of complex deformable models using AABB trees. Journal of Graphics Tools, 2(4), 1–14.
van den Bergen, G. (2003). Collision detection in interactive 3D environments. San Francisco: Morgan Kaufmann.
Wachter, C., & Keller, A. (2006). Instant ray tracing: The bounding interval hierarchy. In: Eurographics symposium on rendering.
Wald, I., & Havran, V. (2006). On building fast kd-trees for ray tracking and on doing that in O(NlogN). In: IEEE symposium on interactive ray tracing.
Welzl, E., et al. (1991). Smallest enclosing disks. In H. Maurer (Ed.), New results and new trends in computer science (Lecture notes in computer science, Vol. 555, pp. 359–370). New York: Springer.
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Mukundan, R. (2012). Collision Detection. In: Advanced Methods in Computer Graphics. Springer, London. https://doi.org/10.1007/978-1-4471-2340-8_9
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