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Analytical C2 smooth blending surfaces
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DOI：10.1016/j.future.2004.05.023.png)
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Two factors are important in the generation of blending surfaces for interactive graphical and CAD applications, computational speed and the degree of smoothness. Most surface-blending methods blend surfaces with tangent continuity. However, curvature continuity has recently become increasingly important in various applications. In this paper, we present a method that is able to achieve curvature continuity based on the use of partial differential equations (PDE). The blending surfaces are generated as the solution to a sixth-order PDE with one vector-valued parameter. To achieve interactive performance, we propose an effective analytical method for the resolution of this sixth-order PDE. (C) 2004 Elsevier B.V. All rights reserved.
Keyword:
surface blending
curvature continuity
sixth-order partial differential equation
analytical solution
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F
IF:
6.1
论文数:
6.9K
被引数:
2.3W
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