Hermite Surface Fitting Base on Normal Vector Constrained

Zhanli Li; Zhang Yongjun
November 2013
Journal of Applied Sciences;2013, Vol. 13 Issue 22, p5398
Academic Journal
Given a polyhedron mesh, the methods and theories to problems related to normal controlled surface fitting are still not enough and suffer from similar defects. We propose a new technique for fitting surfaces from 3D data points and their associated normal vectors. Given vertices of surface and their normal vectors constraints, this study presents some schemes to construct G² continuous Hermite interpolation surfaces. Firstly, combined three tangent vector equation, methods to calculate tangent vector are presented. Secondly, due to the length of two endpoint tangent vectors in Hermite interpolation directly affects the shape of curve, even may produce sharp points and focal points, this study adjusted the curve surface shape by controlling the input coefficient and obtained the scope of coefficient by experiment. This study also presents a method to reconstruct some common surfaces accurately, such as spheres, columns and cones. In the end the error grid was analyzed between the experimental results and the original surfaces.


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