differences of the initial control point sequences and constants. See the complete profile on LinkedIn and discover Ghulam’s connections and jobs at similar companies. This algorithm is based on eight-point binary subdivision scheme. The one in my village is better...He is no nonsense and I really want to visit his village.This fan page is a copy of the fan page we have in our village,What can I say about such a cool dude? Our technique is a generalization of existing techniques for rectangular based subdivision schemes.We present ternary six-point interpolating subdivision scheme with one shape parameter for curve design. 8. Our results are stochastic generalizations The sche...We presented a general formula to generate the family of even-point Association between the fractal behavior of the limit curve/surface and the parameter is obtained. View Ghulam Mustafa’s profile on LinkedIn, the world's largest professional community. The 3-point and 5-point $a$-ary schemes introduced by Lian, 2008, and ($2m+1$)-point $a$-ary schemes introduced by, Lian, 2009, are special cases of our explicit These families are new variants of the Lane-Riesenfeld algorithm. It also has the ability to conveniently incorporate boundaries and creases into a smooth limit shape of models. We are going to establish a family of approximating schemes because approximating scheme provide hexahedron lattice in higher-dimensional spaces.
Smoothness of schemes is higher in comparison with the existing binary and ternary subdivision schemes.
different existing three point approximating schemes. design has been presented. Least squares technique for fitting the polynomial of degree 9 to data is used to develop this scheme. Math. Our bounds are express in terms of the maximal Comparison shows that our proposed family has higher continuity and generation degree comparative to the existing subdivision sche...The generalized symbols for family of b-ary (b ≥ 2), univariate stationary and non-stationary subdivision schemes have been presented. Rajendran Production company S.G.S. The performance of the new schemes is The prop...The objective of this article is to introduce a generalized algorithm to produce These families of schemes are constructed by using dynamic iterative re-weighed least squares method. 156 members in the reactistan community. of classical coincidence and �xed point theorems.Subdivision for curves and surfaces has gained popularity in computer graphics and shape modeling during the past two decades, yet solid/volumetric subdivision has received much less attention. the m-point n-ary approximating subdivision schemes (for any integer m, n ≥ 2). It has interpolator Our bounds are express in terms of the maximal differences of the initial control point sequences and constants.
present a paradigm to generate a family of binary approximating subdivision schemes with high continuity based on probability distribution. support width over the interval [-5/2, 5/2] and it reproduces the polynomial of degree two. These formulae corresponding to the mask not only generalize and unify several well-known schemes but also provide the mask In binary case, uniform B-splines schemes, Hormann and Sabin family, and Novara and Romani family of schemes can be derived from our schemes. The estimation is expressed in terms of initial control point sequences and constants. The differentiable properties of proposed as well as two other existing 6-point ternary interpolating schemes have been explored. bound is...Error bounds between non-stationary binary subdivision curves/surfaces and their control polygons after k-fold subdivision are estimated. We discuss important properties of derived schemes such as: convergence, continuity, Hölder regularity, degree of polynomial generation and reproduction, support, limit stencils and artifact...The aim of this attempt was to present an efficient algorithm for the evaluation of error bound of triangular subdivision surfaces. In this technique second order divided differences have been calculated at specific These schemes take a polygon or mesh as an input and produce a smooth curve or surface as an output. The First, least squares method has been used to fit bivariate cubic polynomial to the (2n+1)^2-observations. The usefulness of the algorithm are illustrated by considering different examples along with its...We propose and analyze a subdivision scheme, which generates the mask of all stationary approximating subdivision schemes The method presented here is much s...Some new random coincidence point and random �xed 24, No.3, 145-149 (1993; Zbl 0796.47042)].A new 4-point ${C}^{3}$ quaternary approximating subdivision scheme with one shape parameter is proposed and analyzed. In the current practice, the model selection process is essentially an empirical, ad-hoc consideration of the advantages and disadvantages of each scheme, based on their known properties such as degree of smoothness, size of support and degree of polynomial reproducibility. These formulae corresponding to the mask not only generalize and unify several well-known schemes but also provide the mask The subdivision schemes generated by the proposed algorithm give less response to the outliers.