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Role of non-symmetric 3-point relaxed quaternary subdivision schemes in curve modelling
Author(s):
1. Humaira Mustanira Tariq: Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan
Abstract:
Curve and surface representation and shape modification provide designers with a rich geometric modelling interface that is easy to use. Designing the shapes of curves and surfaces interactively is an important area of research in computer-aided geometric design. We introduce a 3-point, relaxed, non-symmetric, approximating stationary quaternary subdivision scheme. This approach generates C3 limiting curves. The impact of the parameters on the creation of the shapes is explored. Some consideration has been given to the development of non-symmetric subdivision systems. Designers may find non-symmetrical schemes attractive since they can modify the shape to suit their needs while maintaining a smooth curve's appearance. The development of the method and its shape-preserving capabilities are covered in detail in this presentation. The method works well for fitting monotone, convex, and nonlinear data that typically emerge in engineering and industrial geometries as well as in digital signal processing. The fitting of essential shapes and functions required in engineering and industry is also covered. According to the findings, this structure is more adaptable when handling data points. The end results are more in accordance with the designer's objective.
Page(s): 27-27
DOI: DOI not available
Published: Journal: Abstract Book on Global Science Technology and Management Conference, Volume: 0, Issue: 0, Year: 2023
Keywords:
Curve modelling , Quaternary subdivision schemes
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