ノ　スンタク   Noh Seungtak    所属   メディア学部 メディア学科    職種   助教
言語種別	英語
発行・発表の年月	2022/10
形態種別	学術論文
査読	査読あり
標題	PPW Curves: a C2 Interpolating Spline with Hyperbolic Blending of Rational Bézier Curves
執筆形態	共著
掲載誌名	Transactions on Information and Systems
掲載区分	国外
出版社・発行元	IEICE
巻・号・頁	E105-D(10),pp.1704-1711
総ページ数	8
担当区分	筆頭著者,責任著者
著者・共著者	Seung-Tak NOH Hiroki HARADA Xi YANG Tsukasa FUKUSATO Takeo IGARASHI
概要	It is important to consider curvature properties around the control points to produce natural-looking results in the vector illustration. C2 interpolating splines satisfy point interpolation with local support. Unfortunately, they cannot control the sharpness of the segment because it utilizes trigonometric function as blending function that has no degree of freedom. In this paper, we alternate the definition of C2 interpolating splines in both interpolation curve and blending function. For the interpolation curve, we adopt a rational Bézier curve that enables the user to tune the shape of curve around the control point. For the blending function, we generalize the weighting scheme of C2 interpolating splines and replace the trigonometric weight to our novel hyperbolic blending function. By extending this basic definition, we can also handle exact non-C2 features, such as cusps and fillets, without losing generality. In our experiment, we provide both quantitative and qualitative comparisons to existing parametric curve models and discuss the difference among them.