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0111 · Jun 201319922001200920172026
3 results for Pythagorean-hodograph

Characterizes mappings preserving Pythagorean-hodograph curves.

problem Preserving Pythagorean-hodograph curves in various dimensions.
method Proves conformal functions with square rational dilation are PH-preserving.
result Conformal functions with square rational dilation are the only PH-preserving mappings.

This paper constructs PH spline curves with prescribed arc lengths.

problem Interpolating points, tangent directions, and curvatures with prescribed arc-length.
method Local construction of G2G^2 planar PH biarc curves of degree 7.
result Prescribed arc-length can be satisfied for any data and any chosen ratio between boundary tangents.

The present paper attempts to show an alternative approach with regards to rational Pythagorean-hodograph (PH) curves and especially more natural approach for rational PH helices (i.e. rational helices). It exploits geometric features of rational helices to obtain a simpler construction of these curves and apply this t…

2013-06-16abs ↗pdf ↗