Journal of the Korean Society for Industrial and Applied Mathematics

  • 제15권4호
  • /
  • Pages.307-318
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  • 2011
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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PAPER TEMPLATES FOR TRIANGULATED SURFACES

  • 투고 : 2011.09.26
  • 심사 : 2011.12.06
  • 발행 : 2011.12.25
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초록

We introduce an algorithm that automatically generates paper templates of a triangulated surface. The surface can be built by cutting, folding, and pasting the paper templates. The algorithm is branched to two strategies : one is to select the longest neghboring edge among many choices, and the other is to select the largest neighboring triangle. Three surfaces, whose triangulation sizes widely range, are successfully built by the algorithm. The two strategies are empirically evaluated in building the surfaces with respect to paper consumption, a measure of cost efficiency, and boundary length, a measure of speed efficiency. Strategy 1 performs in most cases better than the other one with respect to boundary length, but sometimes wins and sometimes loese with respect to paper consumption.

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과제정보

연구 과제 주관 기관 : National Research Foundation of Korea(NRF)

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