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Author (up) Sankaranarayanan, Jagan; Samet, Hanan; Varshney, Amitabh url  doi
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  Title A fast all nearest neighbor algorithm for applications involving large point-clouds Type Journal Article
  Year 2007 Publication Computers & Graphics Abbreviated Journal Computers & Graphics  
  Volume 31 Issue 2 Pages 157-174  
  Keywords neighbor finding; k nearest neighbors; kNN algorithm; all nearest neighbor algorithm; incremental neighbor finding algorithm; locality; neighborhood; disk-based data structures; point-cloud operations; point-cloud graphics  
  Abstract Algorithms that use point-cloud models make heavy use of the neighborhoods of the points. These neighborhoods are used to compute the surface normals for each point, mollification, and noise removal. All of these primitive operations require the seemingly repetitive process of finding the k nearest neighbors (kNNs) of each point. These algorithms are primarily designed to run in main memory. However, rapid advances in scanning technologies have made available point-cloud models that are too large to fit in the main memory of a computer. This calls for more efficient methods of computing the kNNs of a large collection of points many of which are already in close proximity. A fast kNN algorithm is presented that makes use of the locality of successive points whose k nearest neighbors are sought to reduce significantly the time needed to compute the neighborhood needed for the primitive operation as well as enable it to operate in an environment where the data is on disk. Results of experiments demonstrate an order of magnitude improvement in the time to perform the algorithm and several orders of magnitude improvement in work efficiency when compared with several prominent existing methods.  
  Address  
  Corporate Author Thesis  
  Publisher Elsevier Place of Publication Editor  
  Language Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0097-8493 ISBN Medium  
  Area Expedition Conference  
  Notes Approved yes  
  Call Number UCF @ kdamkjer @ Sankaranarayanan_2007 Serial 54  
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