Teillaud, Monique.
Towards Dynamic Randomized Algorithms in Computational Geometry [electronic resource] / by Monique Teillaud. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1993. - XI, 169 p. online resource. - Lecture Notes in Computer Science, 758 0302-9743 ; . - Lecture Notes in Computer Science, 758 .
Fundamental structures -- Static randomized incremental algorithms -- The Delaunay tree -- A general structure: The influence graph -- The k-Delaunay tree -- Towards a fully dynamic structure -- Parallel work.
Computational geometry concerns itself with designing and analyzing algorithms for solving geometric problems. The field has reached a high level of sophistication, and very complicated algorithms have been designed.However, it is also useful to develop more practical algorithms, so long as they are based on rigorous methods. One such method is the use of randomized algorithms. These algorithms have become more and more popular, turning into one of the hottest areas of recent years. Dynamic algorithms are particularly interesting because in practice the data of a problem are often acquired progressively. In this monograph the author studies the theoretical complexity and practical efficiency of randomized dynamic algorithms.
9783540482024
10.1007/3-540-57503-0 doi
Computer science.
Computer software.
Computer graphics.
Combinatorics.
Geometry.
Computer Science.
Computer Graphics.
Algorithm Analysis and Problem Complexity.
Combinatorics.
Geometry.
T385
006.6
Towards Dynamic Randomized Algorithms in Computational Geometry [electronic resource] / by Monique Teillaud. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1993. - XI, 169 p. online resource. - Lecture Notes in Computer Science, 758 0302-9743 ; . - Lecture Notes in Computer Science, 758 .
Fundamental structures -- Static randomized incremental algorithms -- The Delaunay tree -- A general structure: The influence graph -- The k-Delaunay tree -- Towards a fully dynamic structure -- Parallel work.
Computational geometry concerns itself with designing and analyzing algorithms for solving geometric problems. The field has reached a high level of sophistication, and very complicated algorithms have been designed.However, it is also useful to develop more practical algorithms, so long as they are based on rigorous methods. One such method is the use of randomized algorithms. These algorithms have become more and more popular, turning into one of the hottest areas of recent years. Dynamic algorithms are particularly interesting because in practice the data of a problem are often acquired progressively. In this monograph the author studies the theoretical complexity and practical efficiency of randomized dynamic algorithms.
9783540482024
10.1007/3-540-57503-0 doi
Computer science.
Computer software.
Computer graphics.
Combinatorics.
Geometry.
Computer Science.
Computer Graphics.
Algorithm Analysis and Problem Complexity.
Combinatorics.
Geometry.
T385
006.6