Covering Shapes by Ellipses for the Computer Analysis of Protein Patterns

Frank Hoffmann
Klaus Kriegel
Christof Schultz
Institut für Informatik
Freie Universität Berlin
email: name@inf.fu-berlin.de

Alon Efrat
Computer Science Department
Stanford University
email: alon@Graphics.Stanford.EDU

Report B-00-11
July 2000

We study the problem of how to cover a polygonal region by a small number of axis--parallel ellipses. This question is well motivated by a special pattern recognition task where one has to identify ellipse shaped protein spots in 2-dimensional electrophoresis images. We present and discuss two algorithmic approaches solving this problem: a greedy brute force method and a linear programming formulation. Furthermore we discuss related theoretical questions.
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