Proceedings of the conference on Visualization '00
Geodesic curve computations on surfaces
Computer Aided Geometric Design
Fast exact and approximate geodesics on meshes
ACM SIGGRAPH 2005 Papers
Constrained design of polynomial surfaces from geodesic curves
Computer-Aided Design
Cubic polynomial patches through geodesics
Computer-Aided Design
Surface reconstruction via geodesic interpolation
Computer-Aided Design
Computing geodesics on triangular meshes
Computers and Graphics
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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Finding the geodesic on a surface is an important task in many fields. As the traditional discrete algorithms or numerical approach can only find a list of discrete points, this study aims to propose a new, elegant and accurate method for approximating geodesics on a surface. The proposed geodesic-like curve is a mathematical curve that approaches to the geodesic on surface when the order of the curve reaches to infinity. The geodesic-like curve is also compared to some other well-known methods in this study.