Hang Houjun, Li Wanggen. Investigation of inner properties of the standard-form cubic rational Bézier representation of circular arcs[J]. Journal of Image and Graphics, 2011, 16(12): 2191-2198. DOI: 10.11834/jig.20111214.
Investigation of inner properties of the standard-form cubic rational Bézier representation of circular arcs
A practical way of representing circular arcs with standard-form cubic rational Bézier curves containing a parameter is presented. The parameter affecting the control points
weights and shoulder points is discussed. The inner relation between the parameter and the weights of representing circular arcs with nonstandard-form quadratic rational Bézier curves is analyzed in detail. Modifing the parameter value corresponds to a rational linear parameter transformation. Finally
we discuss the inverse calculation of the standard-form cubic rational Bézier representation of circular arcs.