We review the theory of homogeneous splines and their relationship to special rational splines considered by J. Sánchez-Reyes and independently by P. de Casteljau who called them focal splines. Applying an appropriate duality, we transform focal splines into a remarkable class of rational curves with rational offsets. We investigate geometric properties of these dual focal splines and discuss applications to curve design problems.
|Original language||English (US)|
|Number of pages||16|
|Journal||Mathematical Engineering in Industry|
|State||Published - 1999|
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