By Shashi Shekhar; Hui Xiong
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Child). When the insertion reaches a leaf page L, a leaf record that contains point p and value v is stored in L. Since the BA-tree aims at storing only the aggregate information, not the objects themselves, there are chances where the points inserted are not actually stored in the index, thus saving storage space. For instance, if a point to be inserted falls on some border of an index record, there is no need to insert the point into the sub-tree at all. Instead, it is simply kept in the border that it falls on.
Semantic generalization. One can define the RCC5 relationship between approximations X and Y to be the set of relationships which occur between any pair of precise regions having the approximations X and Y. That is, one can define SEM(X, Y) = {RCC5(x, y) | x ∈ [[X]] and y ∈ [[Y]]} . Consider the RCC5 relations [16] disjoint (DR), partial overlap (PO), proper part (PP), has proper part (PPi) and equal (EQ) between two regions as depicted in Fig. 3. Given two regions x and y these relation between them can be determined by considering the triple of boolean values: (x ∧ y = ⊥, x ∧ y = x, x ∧ y = y) .
J. Watson Research Center Hawthorne, NY USA T IMPF, S ABINE University of Würzburg Würzburg Germany VOISARD , AGNÈS Fraunhofer ISST and FU Berlin Berlin Germany XXXVII XXXVIII List of Contributors VOSSELMAN , G EORGE International Institute for Geo-Information Science and Earth Observation Enschede Netherlands WALLER , L ANCE A. Emory University Atlanta, GA USA WANG , X. J. Watson Research Center Hawthorne, NY USA W IKLE , C HRISTOPHER K. University of Missouri-Columbia Columbia, MO USA W OLLE , T HOMAS NICTA Eveleigh, NSW Australia W OLSHON , B RIAN Louisiana State University Baton Rouge, LA USA W OOD , J ORDAN University of Minnesota Minneapolis, MN USA W OODSFORD , P ETER Laser-Scan Cambridge UK W U , S HASHA Spring Arbor University Spring Arbor, MI USA X IA , Y UNI Purdue University Indianapolis, IN USA X IE , Q INGYUN (J EFFREY ) Oracle USA, Inc.
