著者

三浦 憲二郎

出版者

公益社団法人精密工学会

雑誌

精密工学会誌 (ISSN:09120289)

巻号頁・発行日

vol.58, no.12, pp.2001-2006, 1992-12-05

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This paper introduces a new type of free-form patches named rational boundary C^2 Gregory patch. It can be said an extension of C^2 Gregory patch developed by Miura and Wang, which gives users the capability of designing curvature-continuous surfaces (G^2 continous surfaces) with reasonable flexibilities, and also that of rational boundary Gregory patch proposed by Chiyokura et al., which is surrounded by rational Bezier curves and can be interpolated with the continuity of tangent planes (G^1 continuity). As the name of the patch implies, its boundary consists of rational Bezier curves. Its derivation is explained and methods for G^2 continuity are proposed to connect it with a rational Bezier patch and with another RBC^2G patch. Finally, a G^2 continuous interpolation method based upon such patches is discussed.