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Curvature continuity of cubic Bezier curves in the solid modeling aerospace research tools design softwarePreliminary results are presented of an investigation into the development of a procedure to provide curvature continuity between biparametric cubic Bezier surface patches in the computer-aided design package known as SMART (Solid Modeling Aerospace Research Tools). This initial effort was aimed at providing the designer with the ability to locally impose curvature continuity at the intersection of two Bezier curves without disrupting either the curvature or slope continuity that may exist at the ends of these curves. Such a method was found if the original Bezier control points are all coplanar. If they are not, then it is possible to find a minimum deviation from exact curvature continuity. In cases where this is not sufficient, then an entire piecewise curve must be made curvature continuous simultaneously. A method was developed based on cubic splines which is very fast. The procedure returns new Bezier control points which have both slope and curvature continuity.
Document ID
19900012238
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Roach, Robert L.
(Georgia Inst. of Tech. Atlanta, GA, United States)
Forrest, John R.
(Georgia Inst. of Tech. Atlanta, GA, United States)
Date Acquired
September 6, 2013
Publication Date
January 1, 1990
Subject Category
Computer Programming And Software
Report/Patent Number
NAS 1.26:186583
NASA-CR-186583
Accession Number
90N21554
Funding Number(s)
CONTRACT_GRANT: NAG1-1039
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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