円弧による曲線の近似表現

概要

論文の詳細を見る
This paper discusses a smooth representation of a curve by concatenating circular arcs. Hosaka gave a method to connect given points succeedingly with circular arcs each of which has the same tangents at both ends as the adjacent ones. The weak point of this method is the oscillatory phenomena seen in the obtained curve, as pointed by Hosaka himself. The processing of general curves is divided into two aspects; encoding process and decoding process. In the encoding procedure the prevention of the oscillation is considered.Namely, the whole process consists of following steps; (1)encoding an original curve as a chain ofprimary sampling points which approxlInate the curve and of secondary sanipling points Which damp the oscillation, (2)restoring the curve by connecting total sampling points according to Hosaka's Inethod. Thus, any smooth curve can be represented as a sequence of points on the curve without the loss of smoothness.
一般社団法人情報処理学会の論文
1971-12-15