@article{oai:ipsj.ixsq.nii.ac.jp:00009779,
 author = {沼田宗敏 and 輿水, 大和 and 秦野, やす世 and 神谷, 和秀 and 野村, 俊 and 二宮, 市三 and Munetoshi, Numada and Hiroyasu, Koshimizu and Yasuyo, Hatano and Kazuhide, Kamiya and Takashi, Nomura and Ichizo, Ninomiya},
 issue = {12},
 journal = {情報処理学会論文誌},
 month = {Dec},
 note = {従来，直線，円，楕円などの幾何学図形の生成法が多数報告され，傾斜楕円についても若干の研究業績がある．本論文では，1 点あたり2 回の乗算で傾斜楕円を生成する画期的な三項漸化算法を提案する．三角関数の間に成り立つ一対の漸化式が同型であることが，その秘訣である．初期設定や楕円弧描画は従来法と比較して簡単であり，それを従来の高速生成法と同等以上の計算速度で実現する．また，実験によって新算法の有効性を検証する．, Although many useful methods for generating lines, circles, ellipses including oblique ellipses, etc. have been reported so far, there still remain more problems to be solved. Thus this paper proposes an epoch-making three-term recurrence algorithm for generating oblique ellipses with only two multiplications per point. The key of the method consists in the fact that a pair of the three-term recurrences of trigonometric functions are of the same form. Since the proposed method is simpler than the traditional methods both in setting initial conditions and in generating ellipse arc, this method can be superior or equivalent with respect also to computation cost. Numerical experiments have shown its high quality both in speed and accuracy.},
 pages = {4051--4058},
 title = {三角関数の三項漸化式による傾斜楕円の高速生成法},
 volume = {48},
 year = {2007}
}