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A numerical method for finding the convex hull of polygonal cavities using the enclosure method

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Published 15 January 2002 • Published under licence by IOP Publishing Ltd
, , Citation Masaru Ikehata and Takashi Ohe 2002 Inverse Problems 18 111 DOI 10.1088/0266-5611/18/1/308

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Author affiliations

1 Department of Mathematics, Faculty of Engineering, Gunma University, 1-5-1, Tenjin-cho, Kiryu, Gunma 376-8515, Japan

2 Department of Simulation Physics, Faculty of Informatics, Okayama University of Science, 1-1 Ridai-cho, Okayama, Okayama 700-0005, Japan

Dates

  1. Received 18 April 2001
  2. Published

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0266-5611/18/1/111

Abstract

A numerical method for finding cavities that is based on a formula in the enclosure method is discussed. It is a combination of: a method of estimating the value of the support function of cavities at a given direction by the slope of the logarithm of the indicator function; a rule to avoid poor estimation of the value of the support function at directions near a non-regular direction. We present the numerical testing of the method and show its effectiveness.

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10.1088/0266-5611/18/1/308