An algorithm for converting the contour of a 2D workpiece into a rectilinear polygon

Abstract This paper presents an algorithm for converting the contour of a 2D workpiece into a rectilinear polygon. The purpose of providing such a conversion is to model the global shape information of the workpiece. Using an existing algorithm, the rectilinear polygon can further be modeled by a tree structure of line segments, known as the simplified skeleton, which can concisely model the global shape information of a workpiece. That is, workpieces with similar global shape can be classified into the same group by considering the similarity among their simplified skeletons. This algorithm is helpful to enhance the modeling capability of the traditional group technology coding schemes.

[1]  Joseph O'Rourke,et al.  Some NP-hard polygon decomposition problems , 1983, IEEE Trans. Inf. Theory.

[2]  R. Brubaker Models for the perception of speech and visual form: Weiant Wathen-Dunn, ed.: Cambridge, Mass., The M.I.T. Press, I–X, 470 pages , 1968 .

[3]  Muh-Cherng Wu,et al.  A skeleton-retrieving technique for aiding modular-fixtures design , 1993 .

[4]  Muh-Cherng Wu,et al.  Global shape information modelling and classification of 2D workpieces , 1994 .

[5]  Jimmy J. M. Tan,et al.  Minimum rectangular partition problem for simple rectilinear polygons , 1990, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[6]  B. Logar,et al.  Feature-Based Part Database Design and Automatic Forming of Part Families for GT , 1991 .

[7]  Kevin D. Gourley,et al.  A Polygon-to-Rectangle Conversion Algorithm , 1983, IEEE Computer Graphics and Applications.

[8]  András Hegedüs Algorithms for covering polygons by rectangles , 1982 .

[9]  B. Logar,et al.  Design of the database for CAD based on group technology , 1988 .

[10]  Mikell P. Groover,et al.  CAD/CAM: Computer-Aided Design and Manufacturing , 1983 .

[11]  Ibrahim Zeid,et al.  CAD/CAM theory and practice , 1991 .

[12]  Daniel J. Kleitman,et al.  An Algorithm for Covering Polygons with Rectangles , 1986, Inf. Control..

[13]  Muh-Cherng Wu,et al.  A neural network approach to the classification of 3D prismatic parts , 1996 .

[14]  Sartaj Sahni,et al.  Covering rectilinear polygons by rectangles , 1990, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..