顾及“保真性”原则的双向滚动球变换DDM多尺度表达算法
发布时间：2019-01-15 08:19
【摘要】：在分析符合"安全性"要求的数字水深模型(DDM)正向滚动球变换应用局限的基础上,根据高保真DDM多尺度表达评价标准中对水深值准确性、严密有序性及地形信息等级嵌套性的要求,从顾及"保真性"原则的DDM多尺度表达需要出发,提出一种基于双向滚动球变换的DDM多尺度表达算法。分析了海底地貌特征点在DDM双向滚动球变换过程中的变化趋势,根据DDM正向滚动球变换的尺度依赖特性,计算出了一定尺度下海底地貌的横向分布范围与纵向分布高度,建立了DDM多尺度表达中细部(骨架)地貌的判定准则。通过保留给定尺度下DDM中的骨架地貌,使海底地形的整体变化趋势得到了保持,满足了DDM多尺度表达对水深值准确性的要求;论证了DDM单值曲面等距离面变换的水深序同构特性,通过对给定尺度下的细部地貌进行DDM双向滚动球变换的等距离面提取,使海底地形的局部起伏形态得到了保持,满足了DDM多尺度表达对水深值严密有序性的要求;从满足DDM多尺度表达对地形信息等级嵌套性的要求出发,分析了DDM双向滚动球变换中尺度因子与地形信息等级单元逻辑包含关系的不相关性,论证了任意尺度因子条件下具有的相应等级地形信息范围的一致性。试验结果表明该算法克服了DDM正向滚动球变换存在的无法保留负向骨架地貌和保持海底局部地形起伏形态等不足,可有效保留DDM中骨架地貌并综合细部地貌,满足顾及"保真性"原则的DDM多尺度表达要求。
[Abstract]:Based on the analysis of the limitation of the application of (DDM) forward rolling sphere transformation, which meets the requirements of "safety", the accuracy of the water depth value in the high fidelity DDM multi-scale expression evaluation standard is analyzed. In order to meet the requirements of strict order and nesting of terrain information level, a DDM multi-scale representation algorithm based on bi-directional rolling sphere transformation is proposed to meet the needs of multi-scale representation of DDM based on the principle of "fidelity". The variation trend of submarine geomorphologic feature points in the process of DDM bidirectional rolling sphere transformation is analyzed. According to the scale dependence characteristics of DDM forward rolling sphere transformation, the horizontal distribution range and longitudinal distribution height of submarine geomorphology are calculated at a certain scale. The criteria for determining the detailed (skeleton) landforms in DDM multi-scale representation are established. By retaining the skeleton geomorphology in DDM on a given scale, the overall variation trend of submarine topography is maintained, which meets the requirements of DDM multi-scale expression for accuracy of water depth. This paper demonstrates the isomorphism of the isometric transformation of the isometric surface of DDM single valued surface. By extracting the isometric surface of the detailed geomorphology of the given scale from the DDM bi-directional rolling sphere transformation, the local undulating shape of the submarine topography is preserved. It satisfies the demand of DDM multi-scale expression for the strict order of water depth value. In order to meet the requirements of DDM multi-scale representation for the nesting of topographic information levels, this paper analyzes the irrelevance between the mesoscale factors of DDM bi-directional rolling sphere transformation and the logical inclusion of topographic information hierarchy units. The consistency of the range of topographic information of the corresponding grade under the condition of arbitrary scale factor is proved. The experimental results show that the algorithm overcomes the shortcomings of DDM forward rolling sphere transformation, such as the negative skeleton landform can not be preserved and the local topographic undulating shape of the seabed can be maintained, and the skeleton geomorphology in DDM can be effectively preserved and the detailed geomorphology can be integrated. Satisfy the requirement of DDM multi-scale expression which takes into account the principle of "fidelity".
【作者单位】： 海军大连舰艇学院海洋测绘系;海军大连舰艇学院海洋测绘工程军队重点实验室;海军出版社;92403部队;
【基金】：国家自然科学基金(41471380;41601498)~~
【分类号】：P208
本文编号：2409036
[Abstract]:Based on the analysis of the limitation of the application of (DDM) forward rolling sphere transformation, which meets the requirements of "safety", the accuracy of the water depth value in the high fidelity DDM multi-scale expression evaluation standard is analyzed. In order to meet the requirements of strict order and nesting of terrain information level, a DDM multi-scale representation algorithm based on bi-directional rolling sphere transformation is proposed to meet the needs of multi-scale representation of DDM based on the principle of "fidelity". The variation trend of submarine geomorphologic feature points in the process of DDM bidirectional rolling sphere transformation is analyzed. According to the scale dependence characteristics of DDM forward rolling sphere transformation, the horizontal distribution range and longitudinal distribution height of submarine geomorphology are calculated at a certain scale. The criteria for determining the detailed (skeleton) landforms in DDM multi-scale representation are established. By retaining the skeleton geomorphology in DDM on a given scale, the overall variation trend of submarine topography is maintained, which meets the requirements of DDM multi-scale expression for accuracy of water depth. This paper demonstrates the isomorphism of the isometric transformation of the isometric surface of DDM single valued surface. By extracting the isometric surface of the detailed geomorphology of the given scale from the DDM bi-directional rolling sphere transformation, the local undulating shape of the submarine topography is preserved. It satisfies the demand of DDM multi-scale expression for the strict order of water depth value. In order to meet the requirements of DDM multi-scale representation for the nesting of topographic information levels, this paper analyzes the irrelevance between the mesoscale factors of DDM bi-directional rolling sphere transformation and the logical inclusion of topographic information hierarchy units. The consistency of the range of topographic information of the corresponding grade under the condition of arbitrary scale factor is proved. The experimental results show that the algorithm overcomes the shortcomings of DDM forward rolling sphere transformation, such as the negative skeleton landform can not be preserved and the local topographic undulating shape of the seabed can be maintained, and the skeleton geomorphology in DDM can be effectively preserved and the detailed geomorphology can be integrated. Satisfy the requirement of DDM multi-scale expression which takes into account the principle of "fidelity".
【作者单位】： 海军大连舰艇学院海洋测绘系;海军大连舰艇学院海洋测绘工程军队重点实验室;海军出版社;92403部队;
【基金】：国家自然科学基金(41471380;41601498)~~
【分类号】：P208
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1 秦忠诚;3D-FSM·DDM间接边界元数值系统及其在矿山工程中的应用研究[D];山东科技大学;2007年
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