Geometric continuity of blending surfaces

Geometric continuity of blending surfaces

In this paper, we study the C 1 G 2 continuity of surfaces by a shape-blending process. Furthermore, we study the continuity of the ruled surfaces constructed by linear interpolation between two pairs of C 1 G 2 continuous curves. We give some conditions for the C 1 G 2 continuity of composite surfa...

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Veröffentlicht in:Computer aided design 2013-03, Vol.45 (3), p.733-738
Hauptverfasser: Kouibia, A., Pasadas, M., Sbibih, D., Zidna, A., Belkhatir, B.
Format: Artikel
Sprache:eng
Schlagworte:
Bezier
Blending
Boundaries
Computer aided design
Computer Science
Construction
Continuity
Finishes
Interpolation
Mathematics
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container_end_page 738
container_issue 3
container_start_page 733
container_title Computer aided design
container_volume 45
creator Kouibia, A.
Pasadas, M.
Sbibih, D.
Zidna, A.
Belkhatir, B.
description In this paper, we study the C 1 G 2 continuity of surfaces by a shape-blending process. Furthermore, we study the continuity of the ruled surfaces constructed by linear interpolation between two pairs of C 1 G 2 continuous curves. We give some conditions for the C 1 G 2 continuity of composite surfaces in a shape-blending process. A practical approach is proposed to maintain the C 1 G 2 continuity of Bezier surfaces pairs in a shape-blending process by adjusting the control points along the common boundary of the resulting surface-pair. We finish by proving and justifying the efficiency of the approaching method with some graphical examples.
doi_str_mv 10.1016/j.cad.2012.12.004
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source Elsevier ScienceDirect Journals
subjects Bezier
Blending
Boundaries
Computer aided design
Computer Science
Construction
Continuity
Finishes
Interpolation
Mathematics
title Geometric continuity of blending surfaces
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