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B-Spline Surface Fitting on Scattered Points |
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PP: 273-281 |
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doi:10.18576/amis/100128
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Author(s) |
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Khang Jie Liew,
Ahmad Ramli,
Ahmad Abd. Majid,
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Abstract |
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| This paper looks into the effectiveness of B-spline approximation algorithm in approximating the bicubic B-spline surface
from the set of scattered data points which are taken from the scanned 3D object in the form of point sets. Using the B-spline
approximation algorithm, the unknown B-spline control points are determined, followed by the reconstruction of the bicubic B-spline
surface. Using a set of neighbourhood of data points, a B-spline surface patch may be constructed, which can be pieced together to
form the final surface. Modification of the B-spline approximation algorithm is carried out before the reconstruction in order to fit the
scattered data points closely. Here, the density of the data points is scaled down due to the sparseness of the points that may affect the
smoothness. The sample of scattered data points is chosen from a specific region in the point set model by using k-nearest neighbour
search method. Furthermore, to fit the sample set of scattered data points accurately, they are reoriented in the normal direction. We
also observe the effect of noise in the reconstruction of bicubic B-spline surface. Experimental results demonstrate that the scattered
data points are better fitted after the modification of the algorithm and the accuracy of the approximated bicubic B-spline surface is
easily influenced by the presence of noise. |
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