Subdivision Algorithm of Quartic Q-Ball Curves with Shape Parameters

With the aim to tackle the problems of the local shape adjustment and shape control of quartic Q-Ball curves, we propose two direct subdivision algorithms for quartic Q-Ball curves, which include coefficient subdivision and tangent subdivision. According to the two subdivision algorithms, the corresponding modeling examples are respectively given. Studies show that the sub-curves are independent and have no influence on other sub-curves in shape adjustment, which realize the local shape adjustment of the quartic Q-Ball curves and maintain the geometric meaning of shape parameters. The modeling examples show that the proposed subdivision algorithms are effective and easy to implement, which greatly improve the abilities to express complex curves in shape design by adjusting the position and shape of quartic Q-Ball curves.