Improvement of Algorithm for Applicating Radial Basis Functions on 3 D Reconstruction of Complex Roadways

机译：应用径向基函数的算法改进复杂道路三维重建

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Under the circumstances of insufficient sample data of road topography, in order to generate high-precision road digital models, it is necessary to apply the method of approximation by interpolation to reconstruct road geometrical shape. The radial interpolation functions represented by Multi-Quadric (MQ) are the most commonly used curved surface reconstruction method currently. MQ works satisfactorily when dealing with expressways and first class highways. But serious data divergence occurs for secondary, third and fourth class roadways which are characterized by complex alignment combination. This study found that non-injection of the complex alignment between range and independent variable is the real reason for MQ failure. In addition, if the range is too sensitive to the change in independent variable, ill-conditioned coefficient matrix may occur and consequently calculation instability may rise. Therefore swap of non-injection the range and independent variable range, as well as the method of decomposing complex alignment of bi-directional non-injection into "curve units" were put forward, which ensures injection of each "curve unit"; in addition, swap of the range and independent variable range can also solve the problem of numerical divergence caused by sensitivity of the range to variation of the independent variable range, with the sensitivity after swap changed to 1/k from k, which can effectively eliminate calculation instability.

机译：下的道路地形的不足采样数据的情况下，为了生成高精度的道路的数字模型，有必要通过内插近似适用的方法来重构道路几何形状。由多反流（MQ）表示的径向插值函数是目前最常用的曲面重建方法。在处理高速公路和一流的高速公路时，MQ令人满意地工作。但是，对于具有复杂的对准组合的特征的次级，第三和第四类道路，发生严重的数据发散。本研究发现，非注入范围和独立变量之间的复杂对准是MQ失败的真正原因。另外，如果该范围对独立变量的变化太敏感，则可能发生不良系数矩阵，因此计算不稳定性可能上升。因此，向外交换不注入的范围和独立的可变范围，以及将复杂的双向非注入复合对准的方法进行了向后提出，这确保了每个“曲线单元”的注入;另外，随着独立变量范围的变化范围的灵敏度，交换的范围和独立的可变范围还可以解决由独立变量范围的敏感性引起的数值分歧的问题，随着SWAP改变为1 / k的灵敏度，可以有效地消除计算不稳定。

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《International Conference on Information and Computing》|2010年||共4页
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作者
Shao Yiming; Xu Jin; Peng Qiyuan;
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中图分类 G20-53;
关键词
Route Cad; Road Surface 3d Modeling; Radial Interpolation Functions; Injection;

机译：路线CAD;道路表面3D造型;径向插值功能;注射;

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Improvement of Algorithm for Applicating Radial Basis Functions on 3 D Reconstruction of Complex Roadways

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