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Blending using ODE swept surfaces with shape control and C1 continuity.

You, L.H., Ugail, H., Tang, B.P., Jin, X., You, X.Y. and Zhang, J. J., 2014. Blending using ODE swept surfaces with shape control and C1 continuity. The Visual Computer, 30 (6-8), 625 - 636 .

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Paper_32_Camera_Ready_Version.pdf - Accepted Version


DOI: 10.1007/s00371-014-0950-5


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.

Item Type:Article
Uncontrolled Keywords:Keywords: surface blending, 1C continuity, shape control, fourth order ordinary differential equations, analytical solution, swept surfaces
Group:Faculty of Media & Communication
ID Code:22756
Deposited By: Symplectic RT2
Deposited On:26 Oct 2015 11:54
Last Modified:14 Mar 2022 13:53


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