Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The paper develops a simple and effective method for adaptive smoothing tangential direction fields defined on piecewise smooth surfaces approximated by triangle meshes. The method consists of simultaneous and iterative updating each vertex direction by a ighted sum of the directions at the neighboring vertices. The ights themselves depend on directions: if the direction at a given vertex differs strongly from the direction at a neighboring vertex, then the ight associated with that neighboring direction is chosen small. Choosing such nonlinear ights allows us to preserve important direction field discontinuities during the smoothing process. Applications of the developed smoothing technique to curvature extrema detection and non-photorealistic rendering with curvature lines are given.
['Yutaka Ohtake', 'Masahiro Horikawa', 'Alexander G. Belyaev']
I am writing a research paper on a idea Adaptive smoothing tangential direction fields on polygonal surfaces
[{"from": "human", "value": "I am writing a research paper on a idea Adaptive smoothing tangential direction fields on polygonal surfaces"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The paper develops a simple and effective method for adaptive smoothing tangential direction fields defined on piecewise smooth surfaces approximated by triangle meshes. The method consists of simultaneous and iterative updating each vertex direction by a ighted sum of the directions at the neighboring vertices. The ights themselves depend on directions: if the direction at a given vertex differs strongly from the direction at a neighboring vertex, then the ight associated with that neighboring direction is chosen small. Choosing such nonlinear ights allows us to preserve important direction field discontinuities during the smoothing process. Applications of the developed smoothing technique to curvature extrema detection and non-photorealistic rendering with curvature lines are given."}]