基于局部曲面加权的曲面插值方法

Surface interpolation technique based on local surface weighted method

高精度曲面绘制必须经过局部数据控制点,控制每一个数据点在其有效范围内权值的平滑过渡,生成一个光滑的曲面。本文介绍一种新的基于局部曲面加权的曲面插值方法,该方法利用局部数据点生成不规则三角网(TIN),使用骨架法消除三角形的高程相同的点,然后生成多个局部二次曲面,再利用这些二次曲面控制点在其有效范围内加权插值进行曲面平滑过渡,从而生成高精度的光滑曲面。实际应用表明,该方法比传统的曲面插值方法速度快、精度高,可满足石油勘探软件三维可视化曲面生成的要求。

Accurately mapping a surface must be done through local data control points,each control point plays its role in its vicinity and makes the weighted value changes smoothly in the vicinity,all the control points work in this way in their vicinities over the whole area of the surface and at last a smooth surface can be generated.In this paper a new surface interpolation technique which is based on local surface weighted method is introduced.By using local data points Triangulated Irregular Network(TIN) was generated,the skeleton method was used to remove triangle points with same elevation,then the multi local quadrics were generated,al last the quadrics were used to conduct weighted interpolation in their vicinities so that the quadrics can be smoothed and an accurate and smooth surface was obtained.The application of the technique shows that the technique works faster and more accurately than traditional surface interpolation techniques,and it is believed that the technique could meet the need of interpolating the accurate 3-d visualization surface for oil exploration software.