基于滚动球变换的TIN_DDM地形形态划分及连续尺度表达

针对TIN_DDM地形形态划分及连续尺度表达中存在的应用场景与数据类型特殊、地形形态划分边界不明确和地形尺度认知存在差异等问题,提出了一种基于滚动球变换的TIN_DDM地形形态划分及连续尺度表达算法。该算法在分析滚动球变换构建原理的基础上,通过挖掘滚动球变换在地形形态识别方面的应用潜能,设计了TIN_DDM采样点地形类型判定准则;针对判定准则在地形形态连续尺度表达过程中无法应用的问题,通过对滚动球接触点与滚动球半径之间的数值关联性进行分析,求解出各采样点与滚动球接触状态变换时的临界滚动球半径,构建了面向TIN_DDM地形形态连续尺度表达的滚动球变换。试验结果表明:该算法可快速实现以滚动球半径作为尺度因子的TIN_DDM地形形态自动化分及连续尺度表达。

Division of TIN_DDM topographic forms and continuous scale representation based on rolling ball transformation

Aiming at the problems of special application scenarios, special data type, uncertain boundary of topographic forms and differences in topographic scale cognition which exist in the division of TIN_DDM topographic forms and continuous scale representation, the paper has brought forward the algorithm about division of TIN_DDM topographic forms and continuous scale representation based on rolling ball transformation. Based on the analysis of the principle of rolling ball transformation construction, by excavating the potential of rolling ball transformation in terrain recognition, the algorithm designs the criteria of determining the topographic type of TIN_DDM point. Aiming at the problem that the criteria can’t be applied in the continuous scale representation of topography, by analyzing the numerical correlation between rolling ball contact point and rolling ball radius, the critical rolling ball radius of the contact state between TIN_DDM point and rolling ball changing is calculated, the rolling ball transformation for the continuous scale representation of TIN_DDM topography is built. The experiments show that the algorithm can quickly realize the automatic division and continuous scale representation of topographic forms with rolling ball as scale factor.