TY - BOOK AU - Günther,Oliver ED - SpringerLink (Online service) TI - Efficient Structures for Geometric Data Management T2 - Lecture Notes in Computer Science, SN - 9783540460077 AV - QA76.9.A43 U1 - 005.1 23 PY - 1988/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Computer science KW - Data structures (Computer science) KW - Computer software KW - Database management KW - Information systems KW - Artificial intelligence KW - Computer graphics KW - Computer Science KW - Algorithm Analysis and Problem Complexity KW - Data Structures KW - Database Management KW - Artificial Intelligence (incl. Robotics) KW - Computer Graphics KW - Information Systems Applications (incl.Internet) N1 - Operators and representation schemes for geometric data -- Polyhedral chains -- A dual approach to detect polyhedral intersections in arbitrary dimensions -- The cell tree: An index for geometric databases -- The arc tree: An approximation scheme to represent arbitrary curved shapes -- Conclusions N2 - The efficient management of geometric data, such as points, curves, or polyhedra in arbitrary dimensions, is of great importance in many complex database applications like CAD/CAM, robotics, or computer vision. To provide optimal support for geometric operations, it is crucial to choose efficient data representation schemes. The first part of this book contains a taxonomy and critical survey of common operations and representation schemes for geometric data. Then several new schemes for the efficient support of set operations (union, intersection) and search operations (point location, range search) are presented UR - http://dx.doi.org/10.1007/BFb0046097 ER -