Computer modeling of surfaces with arbitrary shapes

Author

Sarraga, Ramon F.

Author_Institution

Gen. Motors Res. Lab., Warren, MI, USA

Volume

10

Issue

2

fYear

1990

fDate

3/1/1990 12:00:00 AM

Firstpage

67

Lastpage

77

Abstract

A detailed description is given of a local mathematical procedure for constructing a geometrically C/sup 1/ surface by interpolating a grid of cubic Bezier curves that meet in a quite general fashion (for example, they need not meet rectangularly). The constructed surface is a composite mosaic of independently parameterized tensor-product Bezier patches of different degrees (maximum of 6*6). Adjacent patches can be made either C/sup 1/ or C/sup 0/ continuous, as desired. The overall surface can have almost any shape that arises in practice, including the closed surfaces used in solid modeling. Because of its locality, the procedure can be applied at different times in different locations of a surface-to-be; for example, it can be used to combine preexisting smaller surfaces.<>

Keywords

curve fitting; solid modelling; arbitrary shapes; composite mosaic; computer modelling of surfaces; cubic Bezier curves; independently parameterized tensor-product Bezier patches; local mathematical procedure; solid modeling; CADCAM; Computer aided manufacturing; Ice surface; Laboratories; Machining; Mathematical model; Polynomials; Shape; Solid modeling;

fLanguage

English

Journal_Title

Computer Graphics and Applications, IEEE

Publisher

ieee

ISSN

0272-1716

Type

jour

DOI

10.1109/38.50675

Filename

50675