Submarine Topography Six-Dimensional Grid Mapping
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Solution Overview
Problem
Current submarine topography three-dimensional grids are inadequate for studying temporal and spatial variations, particularly in estuary regions and continental margins, as they lack the dimensions of time, slope, and second derivative, which are essential for accurate mapping and demarcation.
Innovation Solution
A six-dimensional grid mapping method that incorporates X and Y coordinates, water depth, slope, second derivative, and time, using an inverse distance weighting method and data storage structure to form a rational and efficient data representation, enabling the creation of a submarine topography six-dimensional grid.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of information
If a three-dimensional grid is used for submarine topography mapping, then the basic spatial representation is achieved, but the temporal and spatial variations cannot be studied
Solution Approach 1:
The patent extends the traditional three-dimensional grid (X, Y, Z coordinates) to a six-dimensional grid by adding three dimensions: time (t), slope (α), and second derivative (β). This dimensional expansion enables the representation of temporal variations and morphological characteristics simultaneously, resolving the contradiction between maintaining basic spatial representation and capturing temporal-spatial dynamics.
2Ease of operation
If separate grids are used for water depth, time, slope and second derivative, then each parameter can be stored independently, but the data structure becomes complex and space-consuming
Solution Approach 1:
The patent merges four separate grids (water depth grid, time grid, slope grid, and second derivative grid) into a single integrated six-dimensional grid structure. Each grid point in this unified structure contains all four parameters (water depth, time, slope, and second derivative), eliminating the need for multiple separate data structures and reducing overall complexity while improving operational efficiency.
3Measurement precision
If only three-dimensional grid data is used, then simple spatial mapping is achieved, but accurate marine demarcation and slope analysis cannot be performed
Solution Approach 1:
The patent segments the topographical information into distinct computational components: water depth (Z-coordinate), slope (first derivative α), and second derivative (curvature β). This segmentation allows each parameter to be calculated and stored independently within the six-dimensional grid structure, enabling precise slope analysis and marine demarcation while maintaining systematic organization of the increased parameter quantity.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This method provides accurate and convenient data mapping, suitable for marine mapping, demarcation, and scientific studies, with improved spatial and temporal resolution, reducing the influence of natural weather variations.
Implementation Method 1
calculating a water depth value of each grid point of the square grid on the basis of the discrete water depth data by using an inverse distance weighting method
Implementation Method 2
calculates submarine slope and second derivative of each grid point
Implementation Method 3
calculates submarine slope and second derivative of each grid point
Data Source
AI summary
The present invention discloses a submarine topography six-dimensional grid mapping method, and particularly to a method based on known discrete bathymetric data points. According to the present invention, a submarine topography six-dimensional grid mapping method including X-coordinate, Y-coordinate, water depth, slope, second derivative and measuring time is established, a submarine topography three-dimensional grid on the basis of discrete water depth data and measuring time is formed, and then submarine slope and second derivative of each grid point are calculated and the measuring time is superposed simultaneously, thus forming a submarine topography six-dimensional grid technical method. The present invention comprises a plurality of steps: establishing a submarine topography six-dimensional grid structure and a topography dimension grid, establishing a time dimension grid, establishing a slope dimension grid, and establishing a second derivative dimension grid. The present invention has the advantages of being accurate in mapping data, convenient to operate, wide in application range, little in influence of natural weather and the like in the process of Chinese coastal mapping and marine demarcation.