• Title/Summary/Keyword: Inscribed polygon

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A Study on RP Part Production Using Intersecting Circle Approximation Method (교차다각형법에 의한 원 근사 방법을 적용한 RP Part 제작에 관한 연구)

  • 신근하
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.9 no.1
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    • pp.68-74
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    • 2000
  • The STL file format is an approximation of 3-D model with triangular facets. STL is a standard input file format of Rapid Prototyping(RP) equipment In computer graphics a circle has been approximated with an inscribed polygon which causes an error between the real and approximated circles. In this study an intersecting polygon has been used to approximate the circle and applied to produce more accurate RP part. The newly proposed method shows it's excellence in part accuracy.

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A Study on RP Part Production Using New Circle Approximation Method (새로운 원 근사방법을 적용한 RP Part 제작에 관한 연구)

  • 홍민성;신근하;박시준;최상련;오철호
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • pp.81-86
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    • 1999
  • The STL file format is an approximation of 3-D model with triangular facets. STL is a standard input file format of Rapid Prototyping(RP) equipment. In computer graphics, a circle has been approximated with an inscribed polygon, which causes an error between the real and approximated circles. In this study, an intersecting polygon has been used to approximate the circle and applied to produce more accurate RP part. The newly proposed method shows it's excellence in part accuracy.

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ON THE EXISTENCE OF INSCRIBED POLYGONS

  • Lim, So Yeon;Jin, Hong Sung;Lee, Kwang Seuk;Park, Myeongsoo;Kim, Dong-Soo
    • Honam Mathematical Journal
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    • v.40 no.1
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    • pp.83-91
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    • 2018
  • We consider the existence problem of inscribed n-gons ($n{\geq}5$) in a circle and find a necessary condition on exterior angles $a_1,\;{\cdots},\;a_n$ of an inscribed n-gon. Conversely, we show that this condition is sufficient for an inscribed polygon with exterior angles $a_1,\;{\cdots},\;a_n$ in this cyclic order to exist.