Blending using ODE swept surfaces with shape control and C<sup>1</sup> continuity

Authors: You, L.H., Ugail, H., Tang, B.P., Jin, X., You, X.Y. and Zhang, J.J.

Journal: Visual Computer

Volume: 30

Issue: 6-8

Pages: 625-636

ISSN: 0178-2789

DOI: 10.1007/s00371-014-0950-5

Abstract:

Surface blending with tangential continuity is most widely applied in computer-aided design, manufacturing systems, and geometric modeling. In this paper, we propose a new blending method to effectively control the shape of blending surfaces, which can also satisfy the blending constraints of tangent continuity exactly. This new blending method is based on the concept of swept surfaces controlled by a vector-valued fourth order ordinary differential equation (ODE). It creates blending surfaces by sweeping a generator along two trimlines and making the generator exactly satisfy the tangential constraints at the trimlines. The shape of blending surfaces is controlled by manipulating the generator with the solution to a vector-valued fourth order ODE. This new blending methods have the following advantages: (1) exact satisfaction of C 1 continuous blending boundary constraints, (2) effective shape control of blending surfaces, (3) high computing efficiency due to explicit mathematical representation of blending surfaces, and (4) ability to blend multiple (more than two) primary surfaces. © 2014 Springer-Verlag Berlin Heidelberg.

http://eprints.bournemouth.ac.uk/22756/

Source: Scopus

Blending using ODE swept surfaces with shape control and C-1 continuity

Authors: You, L.H., Ugail, H., Tang, B.P., Jin, X., You, X.Y. and Zhang, J.J.

Journal: VISUAL COMPUTER

Volume: 30

Issue: 6-8

Pages: 625-636

eISSN: 1432-2315

ISSN: 0178-2789

DOI: 10.1007/s00371-014-0950-5

http://eprints.bournemouth.ac.uk/22756/

Source: Web of Science (Lite)

Blending using ODE swept surfaces with shape control and C1 continuity

Authors: You, L.H., Ugail, H., Tang, B.P., Jin, X., You, X.Y. and Zhang, J.J.

Journal: The Visual Computer

Volume: 30

Pages: 625-636

ISSN: 0178-2789

http://eprints.bournemouth.ac.uk/22756/

Source: Manual

Preferred by: Jian Jun Zhang and Lihua You

Blending using ODE swept surfaces with shape control and C1 continuity

Authors: You, L.H., Ugail, H., Tang, B.P., Jin, X., You, X.Y. and Zhang, J.J.

Journal: The Visual Computer

Volume: 30

Issue: 6-8

Pages: 625-636

ISSN: 0178-2789

Abstract:

Surface blending with tangential continuity is most widely applied in computer aided design, manufacturing systems, and geometric modeling. In this paper, we propose a new blending method to effectively control the shape of blending surfaces, which can also satisfy the blending constraints of tangent continuity exactly. This new blending method is based on the concept of swept surfaces controlled by a vector-valued fourth order ordinary differential equation (ODE). It creates blending surfaces by sweeping a generator along two trimlines and making the generator exactly satisfy the tangential constraints at the trimlines. The shape of blending surfaces is controlled by manipulating the generator with the solution to a vector-valued fourth order ODE. This new blending methods have the following advantages: 1). exact satisfaction of 1C continuous blending boundary constraints, 2). effective shape control of blending surfaces, 3). high computing efficiency due to explicit mathematical representation of blending surfaces, and 4). ability to blend multiple (more than two) primary surfaces.

http://eprints.bournemouth.ac.uk/22756/

Source: BURO EPrints