Shape error evaluation method of free-form surfaces

Local and global evaluation methods for shape errors of free-form surfaces are presented. The local evaluation methods use the changes of principal curvatures between the original CAD data and actual surfaces. The global evaluation methods use the aggregate normal vectors for the characterization of portions of surfaces. Both methods are applied for the evaluation of sheet metal formed by using numerical simulation data and coordinate measurement data.

[1]  Gerald Farin,et al.  Curves and surfaces for computer aided geometric design , 1990 .

[2]  Fumihiko Kimura,et al.  Geometrical evaluation models in sheet metal forming: A classification method for shape errors of free-form surfaces , 1998 .

[3]  Rida T. Farouki,et al.  Surface Analysis Methods , 1986, IEEE Computer Graphics and Applications.

[4]  Utpal Roy,et al.  Representation and interpretation of geometric tolerances for polyhedral objects. II.: Size, orientation and position tolerances , 1999, Comput. Aided Des..

[5]  Hans Hagen,et al.  Visualization and computation of curvature behaviour of freeform curves and surfaces , 1995, Comput. Aided Des..

[6]  Utpal Roy,et al.  Representation and interpretation of geometric tolerances for polyhedral objects - I. Form tolerances , 1998, Comput. Aided Des..

[7]  Rajit Gadh,et al.  Geometric shape abstractions for internet-based virtual prototyping , 1998, Comput. Aided Des..

[8]  Hans Hagen,et al.  Surface interrogation algorithms , 1992, IEEE Computer Graphics and Applications.

[9]  van der Erik Giessen,et al.  SIMULATION OF MATERIALS PROCESSING: THEORY, METHODS AND APPLICATIONS , 1998 .

[10]  Peihua Gu,et al.  Localization and comparison of two free-form surfaces , 1996, Comput. Aided Des..

[11]  R. Klass.  Correction of local surface irregularities using reflection lines , 1980 .

[12]  Thomas Poeschl,et al.  Detecting surface irregularities using isophotes , 1984, Comput. Aided Geom. Des..

[13]  Les A. Piegl,et al.  Tessellating trimmed surfaces , 1995, Comput. Aided Des..

[14]  John Dill,et al.  An application of color graphics to the display of surface curvature , 1981, SIGGRAPH '81.

[15]  Waguih ElMaraghy,et al.  Tolerancing of Free Form Surfaces , 1998 .

[16]  Hoda A. ElMaraghy,et al.  Geometric design tolerancing : theories, standards and applications , 1998 .