A numerical library in C for scientists and engineers
A numerical library in C for scientists and engineers
The NURBS book (2nd ed.)
Proceedings of the conference on Visualization '00
Straightest geodesics on polyhedral surfaces
ACM SIGGRAPH 2006 Courses
Woven model based geometric design of elastic medical braces
Computer-Aided Design
Constant cusp height tool paths as geodesic parallels on an abstract Riemannian manifold
Computer-Aided Design
Freeform surface flattening based on fitting a woven mesh model
Computer-Aided Design
Geodesic-like curves on parametric surfaces
Computer Aided Geometric Design
A note of boundary geodesic problem on regular surfaces
ECC'11 Proceedings of the 5th European conference on European computing conference
The general orthogonal projection on a regular surface
ECC'11 Proceedings of the 5th European conference on European computing conference
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A study on geodesic curves computed directly on NURBS surfaces and discrete geodesics computed on the equivalent tessellated surfaces has been presented. A new approach has been presented for the computation of discrete geodesics on tessellated surfaces. An available approach has been extended for the computation of geodesics on NURBS surfaces. The new approach for the computation of discrete geodesics takes into account the tessellation normal and compares better with the geodesic curves computed directly on the NURBS surface. Many geodesics computed using these approaches on both developable and non-developable surfaces and their equivalent tessellated surfaces have been presented.