### Abstract

The bi-cubically blended Coons patch and the cubic Bezier patch are the most typical interpolation form for construction a free-form surface. In order to define the Coons patch, four position vectors, eight tangent vectors and four twist vectors must be given, and also sixteen control points which are equivalent to the sixteen vectors on the Coons patch must be given to define the Bezier patch. In this paper, a new interpolation form; that is the P-N patch is proposed. This is defined by position vectors and unit normal vectors, which can be detected by measuring a physical model by using a system based on a probe which detects a normal vector and can easily be decided by a drawing.

Original language | English |
---|---|

Pages (from-to) | 239-241 |

Number of pages | 3 |

Journal | Bulletin of the Japan Society of Precision Engineering |

Volume | 25 |

Issue number | 3 |

Publication status | Published - 1991 Sep |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Bulletin of the Japan Society of Precision Engineering*,

*25*(3), 239-241.

**Proposition of an interpolation form defined by position vectors and unit normal vectors.** / Aoyama, Hideki; Kishinami, Takeshi.

Research output: Contribution to journal › Article

*Bulletin of the Japan Society of Precision Engineering*, vol. 25, no. 3, pp. 239-241.

}

TY - JOUR

T1 - Proposition of an interpolation form defined by position vectors and unit normal vectors

AU - Aoyama, Hideki

AU - Kishinami, Takeshi

PY - 1991/9

Y1 - 1991/9

N2 - The bi-cubically blended Coons patch and the cubic Bezier patch are the most typical interpolation form for construction a free-form surface. In order to define the Coons patch, four position vectors, eight tangent vectors and four twist vectors must be given, and also sixteen control points which are equivalent to the sixteen vectors on the Coons patch must be given to define the Bezier patch. In this paper, a new interpolation form; that is the P-N patch is proposed. This is defined by position vectors and unit normal vectors, which can be detected by measuring a physical model by using a system based on a probe which detects a normal vector and can easily be decided by a drawing.

AB - The bi-cubically blended Coons patch and the cubic Bezier patch are the most typical interpolation form for construction a free-form surface. In order to define the Coons patch, four position vectors, eight tangent vectors and four twist vectors must be given, and also sixteen control points which are equivalent to the sixteen vectors on the Coons patch must be given to define the Bezier patch. In this paper, a new interpolation form; that is the P-N patch is proposed. This is defined by position vectors and unit normal vectors, which can be detected by measuring a physical model by using a system based on a probe which detects a normal vector and can easily be decided by a drawing.

UR - http://www.scopus.com/inward/record.url?scp=0026226875&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026226875&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0026226875

VL - 25

SP - 239

EP - 241

JO - Bulletin of the Japan Society of Precision Engineering

JF - Bulletin of the Japan Society of Precision Engineering

SN - 0582-4206

IS - 3

ER -