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

Hideki Aoyama, Takeshi Kishinami

Research output: Contribution to journalArticle

2 Citations (Scopus)


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 languageEnglish
Pages (from-to)239-241
Number of pages3
JournalBulletin of the Japan Society of Precision Engineering
Issue number3
Publication statusPublished - 1991 Sep
Externally publishedYes


ASJC Scopus subject areas

  • Engineering(all)

Cite this