Analytical Simulation of Non-planar B-Spline Surfaces Deformation

机译：非平面B样条曲面变形的解析模拟

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摘要

A method to deform non-planar parametric surfaces based on B-splines is presented. To develop this method, an energy functional and its variational formulation are introduced. The deformation of the non-planar surface is made moving the control points of the surface. In order to do that, the space will be discretized and a ordinary differential equation has to be solved. To do it, an analytical solution will be used taking into account the features of B-splines as a finite elements. Our method will be fast because only a reduced number of control points will be moved instead of all the surface points. So, our method can be used to make simulations.

机译：提出了一种基于B样条使非平面参数曲面变形的方法。为了开发这种方法，引入了一个能量函数及其变分公式。使非平面表面的变形移动表面的控制点。为此，将空间离散化，必须求解一个常微分方程。为此，将考虑B样条曲线的特征作为有限元，使用分析解决方案。我们的方法将很快，因为仅移动了较少数量的控制点而不是所有表面点。因此，我们的方法可用于进行仿真。

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来源
《Articulated motion and deformable objects》|2010年|p.213-223|共11页
会议地点 Port dAndratx(ES);Port dAndratx(ES)
作者
Manuel Gonzalez-Hidalgo; Antoni Jaume-i-Capo; Arnau Mir; Gabriel Nicolau-Bestard;
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作者单位

Computer Graphics, Vision and Artificial Intelligence Group. Maths, and Computer Science Dept. University of the Balearic Islands, Spain;

Computer Graphics, Vision and Artificial Intelligence Group. Maths, and Computer Science Dept. University of the Balearic Islands, Spain;

Computer Graphics, Vision and Artificial Intelligence Group. Maths, and Computer Science Dept. University of the Balearic Islands, Spain;

Computer Graphics, Vision and Artificial Intelligence Group. Maths, and Computer Science Dept. University of the Balearic Islands, Spain;

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会议组织
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
computer graphics; surface deformation; finite elements; b-splines;

机译：计算机图形学;表面变形有限元b样条;

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1. A tool for analytical simulation of B-splines surface deformation [J] . Manuel Gonzalez-Hidalgo, Antoni Jaume-i-Capo, Arnau Mir, Computer-Aided Design . 2013,第2期

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2. Modelling the deformations during the manufacturing of nanostructures on non-planar surfaces for injection moulding tool inserts [J] . Sonne M. R., Cech J., Pranov H., Journal of Micromechanics and Microengineering . 2016,第3期

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3. DESIGN AND FEM STATIC ANALYSIS OF AN INSTRUMENT FOR SURFACE PLASTIC DEFORMATION OF NON-PLANAR FUNCTIONAL SURFACES OF MACHINE PARTS [J] . STOYAN SLAVOV, ILIYAN ILIEV Fiability and Durability . 2016,第2期

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4. Analytical Simulation of Non-planar B-Spline Surfaces Deformation [C] . Manuel Gonzalez-Hidalgo, Antoni Jaume-i-Capo, Arnau Mir, International Conference on Articulated Motion and Deformable Objects . 2010

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Analytical Simulation of Non-planar B-Spline Surfaces Deformation

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