A combined approximating and interpolating ternary 4-point subdivision scheme

作者：Zhang, Li^*; Ma, Huanhuan; Tang, Shuo; Tan, Jieqing

来源：Journal of Computational and Applied Mathematics, 2019, 349: 563-578.

DOI：10.1016/j.cam.2018.09.014

• Combined subdivision
• Continuity
• Polynomial generation
• Polynomial reproduction
• Fractals

In this paper, a new combined approximating and interpolating ternary 4-point subdivision scheme with multiple parameters is proposed. A set of nice properties, such as support, continuity and polynomial generation, are briefly discussed. The new combined scheme not only contains a lot of classical ternary schemes as special cases, but also generates brand-new ternary schemes. Compared to other approximating subdivision schemes, limit curves generated by the new scheme are more consistent with the corresponding control polygons and keep detail features better. Examples are given to show the effectiveness of the scheme. Furthermore, fractal property is analyzed and fractal curves are also given.

• 出版日期2019-3-15
• 单位合肥工业大学