关键词: 三次Bezier曲线, 特征点, 曲率分析, 采样

Abstract: In order to eliminate the shortcomings of large volumes data in three-dimensional modeling process, a fast and efficient sampling method based on curvature analysis of cubic Bezier curve is presented. In the method, the characteristic points and curvature maximum value of cubic Bezier curve are used as the reference standard of the sampling interval and density, the sampling of curve includes contours and single contour. For contours, the correlative factors are characteristic points, curvature minimum value of cubic Bezier curve, the interval between contours, and the length of curve. And for the single contours, the correlative factors are characteristic points, curvature minimum value of cubic Bezier curve and the length of curve. According to these factors, it calculates the number of sampling data. Some typical experimental results show that this method is feasible and effective for the sampling of 3D modeling.

Key words: cubic Bezier curve, characteristic points, curvature analysis, sampling