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» The geometry and dynamics of binary trees
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IPL
2002
107views more  IPL 2002»
13 years 3 months ago
Binary space partitions for axis-parallel line segments: Size-height tradeoffs
We present worst-case lower bounds on the minimum size of a binary space partition (BSP) tree as a function of its height, for a set S of n axis-parallel line segments in the plan...
Sunil Arya
SODA
2001
ACM
144views Algorithms» more  SODA 2001»
13 years 5 months ago
Representing dynamic binary trees succinctly
We introduce a new updatable representation ofbinary trees. The structure requires the information theoretic minimum 2n + o(n) bits and supports basic navigational operations in c...
J. Ian Munro, Venkatesh Raman, Adam J. Storm
RT
2001
Springer
13 years 8 months ago
Realistic Reflections and Refractions on Graphics Hardware with Hybrid Rendering and Layered Environment Maps
We introduce hybrid rendering, a scheme that dynamically ray traces the local geometry of reflective and refractive objects, but approximates more distant geometry by hardwaresupp...
Ziyad S. Hakura, John M. Snyder
GRAPHICSINTERFACE
2000
13 years 5 months ago
Dynamic Plane Shifting BSP Traversal
Interactive 3D applications require fast detection of objects colliding with the environment. One popular method for fast collision detection is to offset the geometry of the envi...
Stan Melax
CIAC
1994
Springer
148views Algorithms» more  CIAC 1994»
13 years 8 months ago
Efficient Reorganization of Binary Search Trees
We consider the problem of maintaining a binary search tree (BST) that minimizes the average access cost needed to satisfy randomly generated requests. We analyze scenarios in whi...
Micha Hofri, Hadas Shachnai