Bouncing Bubble: A fast algorithm for Minimal Enclosing Ball problem

Language: English

Published by GRIN Verlag, GRIN Verlag Dez 2012, 2012

3656326991 / 9783656326991

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This item is printed on demand - it takes 3-4 days longer - Neuware -Scientific Essay from the year 2012 in the subject Computer Science - Theory, , language: English, abstract: In this paper, a new algorithm for solving MEB problem is proposed based on new understandings on the geometry property of minimal enclosing ball problem. A substitution of Ritter's algorithm is proposed to get approximate results with higher precision, and a 1+ approximation algorithm is presented to get the approximation with specified precision within much less time comparing with present algorithms.Like Ritter's algorithm, this algorithm iterates over all points and increase the radius gradually. However, the algorithm does not try to cover all seen points in each step, instead, it will create a new ball (or circle in 2D case) to just touch the new point and cover half of the existing ball. This approach makes sure that the new ball is always increasing in its size and still be smaller than the optimal ball. And finally, a Ritter's algorithm is applied to ensure every point is covered.The result is an approximate solution to the MEB problem. The radius is usually just slightly bigger than the optimal solution (around 1%) instead (5~20% with Ritter's algorithm).This paper also explained how to compute 1+ approximation solution, where is specified to a given precision. 24 pp. Englisch.…

Seller Inventory # 9783656326991

Title
Bouncing Bubble: A fast algorithm for Minimal Enclosing Ball problem
Author
Bo Tian
Publisher
GRIN Verlag, GRIN Verlag Dez 2012
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3656326991
ISBN 13
9783656326991
Item weight
51 grams
Dimensions
210x148x3 mm

BuchWeltWeit Ludwig Meier e.K.

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