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            關(guān)于Sweep and Prune 算法

            在第一階段的檢測(cè)(BroadPhase)中所需要的算法就是Sweep and Prune,因?yàn)閺奈唇佑|過(guò)此類(lèi)的東西,所以不知道到底是個(gè)什么東西,今天終于找到具體資料了,一看,暈倒掉了.原來(lái)就是<游戲編程精粹2>里面所提及到的 逐維遞歸分組法...
            貌似如果有人搜索相關(guān)詞匯是能夠搜索到我的blog的,特別留下此文以防止有哥們走我同樣的彎路了...


            順便放一個(gè)英文東西:
            來(lái)自于:http://parallel.vub.ac.be/documentation/pvm/Example/Marc_Ramaekers/node3.html
            Sweep and Prune
            Given a number N of objects, O(N2) object pairs have to be checked for collision. In general, the objects in most of the pairs aren't even close to each other so we should be able to eliminate them quickly. To do this we use a technique called Sweep and Prune ([CLMP95]). In this section I will briefly introduce this technique.

            To determine whether two objects are close enough to potentially collide, the Sweep and Prune checks whether the axis aligned bounding boxes of the respective objects overlap. If they do, further investigation is necessary. If not, the objects can't possibly collide and the algorithm can move on. To determine whether two bounding boxes overlap, the algorithm reduces the 3D problem to three simpler 1D problems. It does so by determining the intervals occupied by the bounding volume along each of the x,y and z axes. If and only if the intervals of two bounding volumes overlap in all of the three dimensions, the objects corresponding to these bounding volumes must overlap. To determine which intervals of the objects along an axis overlap, the list of the intervals is sorted. Normally, using quick-sort, this would be an $O(N \log N)$ process. However, by exploiting frame coherence (the similarity between situations in two subsequent frames) we can sort the lists in an expected (O(N), using insertion sort.

            Another difficult part in the Sweep and Prune approach is the maintenance of the bounding volume. If the objects in the scene move or rotate, the previously calculated bounding boxes are invalid. It is important to be able to update the boxes as quickly as possible. Again, we can do this by exploiting frame coherence.

            The algorithm's performance is of course dependent on the application and the typical situations that occur in that application. Many variations exists, such as reducing the overlap problem by only 1 dimension and using a rectangle intersection test. It is also possible to choose other types of bounding volumes that might be faster to update but produce a less accurate approximation of the object.

            posted on 2008-01-15 15:35 楊粼波 閱讀(4184) 評(píng)論(2)  編輯 收藏 引用

            評(píng)論

            # re: 關(guān)于Sweep and Prune 算法 2010-01-18 15:44 狂沙

            我看到了,感謝!  回復(fù)  更多評(píng)論   

            # re: 關(guān)于Sweep and Prune 算法 2011-06-26 18:55 tankin

            @狂沙
            感謝,希望看到更多有意義內(nèi)容的blog  回復(fù)  更多評(píng)論   


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