Classification and properties of space biarcs

Wenping Wang; Barry Joe

doi:10.1117/12.131745

1 November 1992 Classification and properties of space biarcs

Wenping Wang, Barry Joe

Proceedings Volume 1830, Curves and Surfaces in Computer Vision and Graphics III; (1992) https://doi.org/10.1117/12.131745
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

Space biarcs are curves in E^d, d>= 2, composed of two smoothly joining circular arcs. The existence and properties of space biarcs as Hermite interpolants are studied, i.e. two distinct points in E^d and two target directions specified at the two points are interpolated at the two ends of a space biarc. Our approach makes use of some recent results on spherical biarcs [Wan92], which are special space biarcs lying on the unit sphere S^d is contained in E^d+1, and the one-to-one correspondence between space biarcs in E^d and spherical biarcs on S^d given by the stereographic projection from S^d to E^d.

Citation Download Citation

Wenping Wang and Barry Joe "Classification and properties of space biarcs", Proc. SPIE 1830, Curves and Surfaces in Computer Vision and Graphics III, (1 November 1992); https://doi.org/10.1117/12.131745

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