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Modeling of 3-dimensional objects by subdivision schemes

In this paper, we model the different objects with the help of one of the optimize subdivision algorithm. First, least squares method has been used to fit bivariate cubic polynomial to the (2n+1)2-observations. Then from this polynomial the construction of (2n + 1)2-point approximating subdivision schemes are presented for n ≥ 2. The proposed schemes can be used for the modeling of different objects in three dimensional spaces. Applications and visual performances of the proposed schemes have also been presented to show the performance of proposed work.