A Study on the Class of Non-Symmetric 3-Point Relaxed Quaternary Subdivision Schemes

Tariq, Humaira Mustanira; Hameed, Rabia; Mustafa, Ghulam

doi:10.1109/access.2022.3230281

Cited by 1 publication

(1 citation statement)

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“…They utilized the Cox-De Boor recursion formula for constructing these quaternary schemes. Nawaz et al [9] and Tariq et al [10] presented 7-point quaternary and 3-point quaternary schemes respectively. This paper introduces a family of m-point quaternary schemes based on polynomials with two parameters.…”

Section: Introductionmentioning

confidence: 99%

Advancing Curve and Surface Images Modeling with Two-Parameters Polynomial-Based Quaternary Subdivision Schemes

Mustafa,

Iqbal,

Mustafa

et al. 2024

ITM Web Conf.

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In the context of this paper, we introduce a novel polynomial function that relies on two parameters. This polynomial enables the creation of a family of quaternary subdivision schemes for curve and surface modeling. One of these parameters is responsible for determining the specific member of the family while the other parameter provides the means to finely control the shape of the resulting curve or the regular surface images. This two-parameter approach adds significant versatility to the subdivision schemes to meet specific requirements and preferences. The exploration of various family members within this class of quaternary schemes is a focal point of our research. By adjusting the parameters, we investigate and delineate the distinctive characteristics of specific family members. This provides valuable insights into how these schemes can be harnessed to achieve various modeling goals. This insight empowers users to select the most suitable family members in accordance with their specific needs and design objectives.

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Section: Introductionmentioning

confidence: 99%