【摘 要】
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Fueled by the intertwining interests in approximation theory,data compression,statistical estimation,and computer-aided geometric design,linear subdivision
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Fueled by the intertwining interests in approximation theory,data compression,statistical estimation,and computer-aided geometric design,linear subdivision algorithms have been studied extensively since the 80's.Modern technologies such as diffusion tensor imagining,motion capturing,or reduced order modeling in scientific computing motivate the study of approximation theory for manifold-valued data and,more specifically,the use of subdivision schemes as a constructive approximation method for such nonlinear data.
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