A UNIQUE COMBINATION OF MASK IN BINARY FOUR-POINT SUBDIVISION SCHEME
نویسندگان
چکیده
A unique binary four-point approximating subdivision scheme has been developed in which one part of formula have stationary mask and other the non-stationary mask. The resulting curves smoothness C3 continuous for wider range shape control parameter. role parameter depicted using square form discrete points.
منابع مشابه
A Circle-Preserving Variant of the Four-Point Subdivision Scheme
The four-point curve subdivision scheme is one of the classic reference points of subdivision theory. It has effective C2 continuity, although the curvature at the data points actually diverges slowly to infinity as very large numbers of subdivision steps are taken. However, it has rather large longitudinal artifacts, so that points interpolated around a curve of almost constant curvature are f...
متن کاملA Five-Point Subdivision Scheme with Two Parameters and a Four-Point Shape-Preserving Scheme
In order to improve the flexibility of curves, a new five-point binary approximating subdivision scheme with two parameters is presented. The generating polynomial method is used to investigate the uniform convergence and Ck-continuity of this scheme. In a special case, the five-point scheme changes into a four-point scheme, which can generate C3 limit curves. The shape-preserving properties of...
متن کاملConvexity preservation of the four-point interpolatory subdivision scheme
In this note we examine the convexity preserving properties of the (linear) fourpoint interpolatory subdivision scheme of Dyn, Gregory and Levin when applied to functional univariate strictly convex data. Conditions on the tension parameter guaranteeing preservation of convexity are derived. These conditions depend on the initial data. The resulting scheme is the four-point scheme with tension ...
متن کاملA ternary 4-point approximating subdivision scheme
In the implementation of subdivision scheme, three of the most important issues are smoothness, size of support, and approximation order. Our objective is to introduce an improved ternary 4-point approximating subdivision scheme derived from cubic polynomial interpolation, which has smaller support and higher smoothness, comparing to binary 4-point and 6-point schemes, ternary 3-point and 4-poi...
متن کاملConvexity preservation of five-point binary subdivision scheme with a parameter
A five-point binary subdivision scheme with a parameter u is presented. The generating polynomial method and the Hölder exponent are used to investigate the uniform convergence and C continuity of this subdivision scheme, where k depends on the choice of the parameter u. Moreover, the conditions on the initial points are discussed for the given limit curve to be convexity preserving and an exam...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of mountain area research
سال: 2023
ISSN: ['2518-850X', '2518-8496']
DOI: https://doi.org/10.53874/jmar.v8i0.168