Collision Detection

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Separating Plane Theorem Two convex objects do NOT penetrate (areseparated) if and only if there exists a(separating) plane which separates them i.e. first (second) object is fully above (below) this plane.Separating plane
Separating Axis Theorem Two convex objects do NOT penetration (areseparated) if and only if there exists a(separating) axis on which projections of objectsare separated i.e. Intervals formed by minimal and maximal projections ofobjects do not intersect.Separating planeSeparatingAxis
Page 1 and 2: Juraj Onderik | onderik@sccg.skBroa
Page 3 and 4: Collision Detection Overview Collis
Page 5 and 6: Mid Phase Mid (refinement) collisio
Page 7 and 8: Collision Detection Phases Broad Ph
Page 9 and 10: Collision Detection Phases Broad Ph
Page 11 and 12: Uniform Grid - Principle Define a u
Page 13 and 14: Uniform Grid - Principle Insert obj
Page 15 and 16: Uniform Grid - AddBox We want to ad
Page 17 and 18: Uniform Grid - UpdateBox Object has
Page 19 and 20: Hierarchical Uniform Grid Suppose 4
Page 21 and 22: Hierarchical Uniform Grid - Princip
Page 27 and 28: Hierarchical Uniform Grid - Methods
Page 29 and 30: Spatial Hashing Motivation: large g
Page 31: Sweep-And-Prune (SAP) Broad phase c
Page 35 and 36: SAP - Algorithm Principle Suppose a
Page 37 and 38: SAP - Algorithm Principle Project A
Page 39 and 40: SAP - Algorithm Principle Sort list
Page 41 and 42: SAP - Algorithm Principle Sweep X-l
Page 43 and 44: SAP - Algorithm Principle Do the sa
Page 45 and 46: SAP - Summary To achieve linear tim
Page 47 and 48: SAP - Incremental Update Reported p
Page 49 and 50: SAP - Incremental Update Limit swap
Page 51 and 52: Pair Management An ID pair is defin
Page 53 and 54: Efficient Pair Management In hash t
Page 55 and 56: Demos / tools / libs Free Open Sour

Collision Detection

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