here a fast computational technique to compute the normal vector field of a. The algorithm of estimating geometric information in 3D curves which is proposed in this paper can be utilized to extract new information in the sketch-based modeling process. components of discrete surfaces, called surfeis, contain some geometric. The proposed algorithm is demonstrated with surface model creation of various curve networks. In 2D, the local coordinate system is defined by (t1, n, to), representing the tangential and normal direction of the boundary. Bending energy is defined by utilizing RMF(Rotation-Minimizing Frame) of 3D curve, and we estimated this minimal energy frame as the one that accords design intent. I am imaging a falling cube and want to know the normal vector of the top of a cube (painted), I have a 2d image of the tilted cube’s top with the coordinates (x and y) of all the corners and the a.
In this paper, we propose a new algorithm for estimating the normal vectors of the 3D curves which accord closely with user intent. Because the equation of a plane requires a point and a normal vector to the plane, finding the equation of a tangent plane to a surface at a given point. However, surfacing a 3D curve network remains an ambiguous problem due to the lack of geometric information. Recently, along with the improvements of geometry modeling methods using sketch-based interface, there have been a lot of developments in research about generating surface model from 3D curves.
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