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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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C~1-continuous triangular Coons patches with shape parameter
带形状参数的C~1连续的三角Coons曲面片
WU Xiao-qin, HAN Xu-li, LUO Shan-ming School of Mathematics, Computation Science, Hunan University of Science, Technology, Xiangtan Hunan, China, School of Mathematical Science, Computing Technology, Central South University, Changsha Hunan, School of Mechanical Engineering, china,
吴晓勤, 韩旭里, 罗善明
Keywords: triangular patche,transfinte interpolation,Hermite polynomial,shape parameter,side-side scheme,side-vertex scheme
三角曲面片,超限插值,Hermite多项式,形状参数,边一边格式,边一点格式
Abstract:
针对三角形域上超限插值的曲面缺乏形变的特点,利用两类带形状参数的Hermite多项式构造C1连续的两种格式的带形状参数的Coons曲面片.构造的三角曲面片均含有形状参数λ,调整λ的值,可改变曲面的内部形状,而不影响曲面的边界形状;当λ=0时,可退化为通常的边-边与边-点格式插值的曲面片.最后,实例验证了该方法的有效性. Full-Text
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