TY - JOUR
T1 - Differential geometry of intersection curves of two surfaces
AU - Ye, Xiuzi
AU - Maekawa, Takashi
N1 - Funding Information:
Funding for this work was obtained, in part, from the Office of Naval Research under grant number N00014-96-1-0857. The authors would like to thank the reviewers for their comments and Mr. S.L. Abrams for his assistance.
PY - 1999/9
Y1 - 1999/9
N2 - We present algorithms for computing the differential geometry properties of intersection curves of two surfaces where the combination of two surfaces can be parametric-parametric, implicit-implicit and parametric-implicit. We derive unit tangent vector, curvature vector, binormal vector, curvature, torsion, and algorithms to evaluate the higher-order derivatives for transversal as well as tangential intersections for all three types of intersection problems.
AB - We present algorithms for computing the differential geometry properties of intersection curves of two surfaces where the combination of two surfaces can be parametric-parametric, implicit-implicit and parametric-implicit. We derive unit tangent vector, curvature vector, binormal vector, curvature, torsion, and algorithms to evaluate the higher-order derivatives for transversal as well as tangential intersections for all three types of intersection problems.
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U2 - 10.1016/S0167-8396(99)00018-7
DO - 10.1016/S0167-8396(99)00018-7
M3 - Article
AN - SCOPUS:0033189868
SN - 0167-8396
VL - 16
SP - 767
EP - 788
JO - Computer Aided Geometric Design
JF - Computer Aided Geometric Design
IS - 8
ER -