This paper presents a family of quasi-quartic trigonometric Bézier curves generated using six novel quasiquartic trigonometric Bézier-like functions characterized by two parameters. These functions exhibit properties similar to those of conventional quartic Bernstein basis functions. The proposed curves can fit the control polygon more closely than various other Bézier-like curves and the conventional quartic Bézier curve when the control points are fixed. This is achieved with ideally low algorithmic complexity, making it computationally efficient. Besides, adjustments only to the shape parameters allow for linear control over the configuration of the quasiquartic trigonometric Bézier curve due to the ease of obtaining the curve's derivative. Furthermore, when multiple quasiquartic trigonometric Bézier curves are combined, the resulting composite curve achieves C² n FC³ continuity automatically, provided that the C² continuity condition is satisfied. This ensures smooth transitions between curve segments without additional constraints. [ABSTRACT FROM AUTHOR]

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