CN110706304B - Visualization algorithm for polar region water vapor transport flux - Google Patents
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Abstract
The invention relates to a visualization algorithm of polar region water vapor transport flux vectors. Reading data of an original global grid by using a program language, converting water vapor transmission flux data of a corresponding hemisphere into an Equal-Area extensible (EASE) grid with the resolution of 100km multiplied by 100km, and performing directional correction on horizontal data and vertical data. Establishing an image display window, firstly determining the coordinates of the starting point of the water vapor transmission flux, then calculating the coordinates of three vertexes of the vector arrow according to the horizontal size and the vertical size of the vector, the angle and the length of the vector arrow, and sequentially connecting the four points to form a line to finish the drawing of the vector arrow. And iterating all grid points, and displaying all water vapor transmission flux vectors in a superposition manner to finish all drawing. The method solves the problems of convergence and error of water vapor transport flux vectors in polar regions in high latitude regions, has higher accuracy and scientificity, can be used for randomly adjusting each parameter drawn by the vectors according to requirements, and has the advantages of simple and convenient operation and beautiful visualization result.
Description
Technical Field
The invention relates to a polar region water vapor transmission flux vector drawing step, in particular to a flow algorithm for polar region water vapor transmission vector visualization.
Background
In the research of climate and meteorology, the mapping of meteorological vector data has wide application in the research mapping of polar regions. The visualization algorithm is realized by adopting an IDL programming language, the IDL function is strong, however, because the longitude and latitude data corresponding to the grids used by the meteorological VECTOR data of the polar region are often non-uniformly distributed, the built-in functions of the existing drawable VECTORs of the IDL, such as VECTOR, IVECTOR, ARROW and the like, require the coordinate symmetry of the data, for example, the longitude or the latitude of adjacent grids are the same or the longitude and latitude difference between grids is the same. Therefore, the existing vector drawing method is easy to generate the condition that the arrows converge in the polar region, and the condition that the arrows point outwards from the north pole and the problem that the arrows in partial regions are reversed often occur, so that the drawing is unclear and even the drawing is wrong (fig. 3). Therefore, the visualization method of the polar water vapor transport vector has strong research value and practical application value.
Disclosure of Invention
Aiming at the technical defects, the invention provides an attractive and accurate polar region water vapor transmission flux visualization algorithm. The algorithm reads water vapor transport flux data by means of an IDL program language, performs iterative processing on each grid after data processing is performed, forms an arrow by drawing a straight line, and visualizes polar water vapor transport flux vectors. The algorithm has the advantages of strong accuracy and scientificity, high flexibility, convenience in implementation and accurate and attractive visual result, and a user can self-define each parameter of vector drawing according to requirements.
The technical scheme adopted by the invention for solving the technical problems is as follows: an algorithm for visualizing polar water vapor transport flux, comprising the steps of:
1) Reading water vapor transmission flux data under a global geographic grid;
2) Converting the data into an equal-area extensible grid with preset resolution;
3) Correcting the direction of the horizontal data and the vertical data;
4) For each grid, determining the coordinates of the starting point of the vapor delivery flux vector;
5) Calculating the vertex coordinates of the arrow according to the horizontal size and the vertical size of the water vapor conveying flux vector and the self-defined angle and length of the arrow;
6) Sequentially connecting four vertexes of the arrow to form a line, and drawing a single arrow;
7) And repeating the steps 4) -6), performing iterative processing on all grids, and performing superposition display on all polar water vapor transmission vectors to finish drawing.
The transformation of the data into the equal-area extensible grid with the preset resolution ratio is as follows:
setting parameters: establishing an extensible target grid coordinate system by using the projection type, the ellipsoid, the central meridian and the unit; setting the resolution of an expandable target grid coordinate system; establishing a geographic lookup table file according to the original geographic grid coordinate system and the target grid coordinate system so as to determine the result position of the initial position in the original geographic grid coordinate system in the expandable target grid coordinate system; the geographic lookup table file is used for storing the mapping relation between the original geographic grid coordinate and the extensible grid coordinate;
carrying out interpolation transformation on the water vapor transmission flux data under an extensible target grid coordinate system according to the initial position and the result position; obtaining water vapor transmission flux data under the equal-area extensible grid; and calculating longitude and latitude data of the result data corresponding to the grid under the original geographic grid coordinate system for drawing.
The performing direction correction on the horizontal data and the vertical data is as follows: the horizontal component in the data under the original geographic grid coordinate system takes longitude and latitude as reference, the horizontal component is positive to the east and negative to the west, the vertical component is positive to the north and negative to the south;
and after the data are converted into the equal-area extensible grid, adjusting according to the quadrant and the longitude and latitude, and carrying out vector coordinate positioning on the result data under the extensible target grid coordinate system by taking the x axis and the y axis as a horizontal component and a vertical component.
The coordinates of the starting point for determining the vapor transport flux vector are as follows: reading horizontal data and vertical data of a water vapor transport flux vector under an equal-area expandable grid, and taking the abscissa of the central point of the grid where the data point is located as the abscissa x of the vector starting point A 0 With the ordinate of the centre point as the ordinate y of the vector start A 0 。
The step of calculating the coordinates of the three points of the vector arrow according to the horizontal size, the vertical size, the self-defined arrow angle and the self-defined length is specifically as follows: according to the coordinates of the starting point A of the vapor transmission flux vector, the abscissa x of the starting point A of the vapor transmission flux vector is determined 0 Adding the horizontal offset to obtain the abscissa x of the arrow head top end point B 1 The horizontal offset is the vector horizontal size u multiplied by a constant t; the ordinate y of the vertex B can be obtained by the same method 1 (ii) a According to the length 1 and the angle alpha of the vector arrow, the coordinates C (x) of the other two points of the vector arrow can be obtained by derivation of a geometric formula 2 ，x 2 ) And D (x) 3 ，x 3 )。
The step of sequentially connecting the four vertexes of the arrow to form a line to draw a single arrow specifically includes: and connecting according to the sequence of the ABCBD or the ABDBC by using an IDL curve drawing function to obtain a water vapor transmission flux vector at the grid where a vector data point of the polar region is located.
The iterative processing is carried out on all grids, and all polar region water vapor transmission vectors are displayed in a superposition mode, and the drawing is completed as follows: and (4) utilizing a circulation function of the IDL to conduct iterative drawing on all data points in the data frame according to the steps, visualizing all vector arrows, and obtaining a final polar region water vapor transmission flux vector diagram.
The invention has the following beneficial effects and advantages:
1. the invention relates to a polar region water vapor transmission flux vector visualization algorithm, which can provide a whole set of polar region water vapor transmission flux vector visualization flow algorithm from data reading, data processing and iteration to a picture.
2. The algorithm is completed by only adopting an IDL program, is simple and convenient and is easy to operate.
3. The algorithm has high degree of freedom, and a user can customize each parameter drawn by the vector according to the requirement and can quickly obtain an accurate and attractive visual result of the polar region water vapor delivery vector.
4. The algorithm can also be used for drawing other reanalysis vector data of the polar region, such as wind vectors and heat transport flux, and has higher flexibility.
Drawings
FIG. 1 is a flow chart of the present invention;
FIG. 2 is a schematic diagram of the water vapor transport flux vectors over the original northern hemisphere;
FIG. 3 is a VECTOR diagram of the water vapor transport flux of the north pole drawn by using an IDL built-in function VECTOR;
FIG. 4 is a geometric schematic drawn with a single vector arrow;
FIG. 5 is a graph of the arctic water vapor transport flux vector visualization obtained by an example of the method of the present invention.
Detailed Description
The present invention will be described in further detail with reference to examples. The method steps are explained with reference to the attached drawings. The following examples are given by way of illustration of the northern hemisphere for purposes of illustrating the invention, but are not intended to limit the scope of the invention.
As shown in fig. 1, the programming language reads the data of the original global grid, converts the water vapor transport flux data of the corresponding hemisphere into an equal-area scalable grid (the water vapor transport flux data is vector data of speed and direction) with the resolution of 100km × 100km, and performs direction correction on the horizontal data and the vertical data. Establishing an image display window, firstly determining the coordinates of the starting point of the water vapor transmission flux, then calculating the coordinates of three vertexes of a vector arrow according to the horizontal size and the vertical size of the vector and the angle and the length of the vector arrow, and sequentially connecting the four vertexes to form a line to finish the drawing of the vector arrow. And (5) iterating the grid points, and displaying all the water vapor transmission flux vectors in a superposition manner to finish all the drawings. The method comprises the following steps:
reading horizontal data and vertical data of the vapor transport flux vector under the original global grid, as shown in fig. 2, and converting the data into an equal-area scalable grid with a preset resolution, as shown in fig. 3. In the conversion process, firstly, a coordinate system corresponding to a target grid needs to be established, and parameters such as a projection type, an ellipsoid, a central meridian, a unit and the like are set; and establishing a geographic lookup table file according to the initial coordinate system and the target coordinate system so as to determine the result position of the initial position in the original geographic grid in the target coordinate system. And then, carrying out transformation and interpolation on the water vapor transmission flux according to the initial position and the result position, setting the resolution of the target result, and obtaining water vapor transmission flux data under the equal-area extensible grid. Since the direction of the vector in the original data is based on latitude and longitude, as shown in the upper left coordinate system of fig. 2, and the horizontal component and the vertical component of the resultant data are based on the x-axis and the y-axis, as shown in the upper left coordinate system of fig. 5. Therefore, after the data is converted into the equal-area extensible grid, direction correction is needed, and adjustment is performed according to the quadrants and the longitudes and latitudes:
the correction method for longitude 0-90 ° is as follows:
equation 1: u = -vv × sin (lon) + uu × sin (90-lon)
Equation 2: v = vv × cos (lon) + uu × cos (90-lon)
The correction method for longitude 90-180 ° is as follows:
equation 3: u = -vv × sin (180-lon) -uu × sin (lon-90)
Equation 4: v = -vv × cos (180-lon) + uu × cos (lon-90)
The correction method for the longitude 180-270 ° is as follows:
equation 5: u = vv × sin (lon-180) -uu × sin (lon-180)
Equation 6: v = -vv × cos (lon-180) -uu × cos (lon-180)
The longitude 270-360 ° correction method is as follows:
equation 7: u = vv × sin (360-lon) + uu × sin (360-lon)
Equation 8: v = vv × cos (360-lon) -uu × cos (360-lon)
Uu and vv are horizontal components and vertical components of the global grid in which the northern hemisphere area is converted into the equal-area extensible grid, u and v are horizontal components and vertical components after direction correction, and lon is grid longitude.
Determining the coordinates of the starting point of the vapor delivery vector at a grid, and taking the abscissa of the central point in the grid where the data point is as the abscissa x of the vector starting point A 0 With the ordinate of the centre point as the ordinate y of the origin of the vector 0 。
And calculating the coordinates of three points of the vector arrow according to the horizontal size and the vertical size, and the self-defined angle and length of the arrow, as shown in FIG. 4.
Equation 9:
equation 10: x is the number of 1 ＝x 0 +tu
Wherein 1 is the length of one side line of the arrow, w is a weight constant, and a user can determine the size of w (in the patent example, w is 0.3) according to the aesthetic sense of the user, so as to determine the proportion of the length of the arrow line in the size of the vector. u is the vector horizontal size and v is the vector vertical size. The user customizes the length 1 and angle α of the vector arrow (α is 22.5 ° in this patent example) depending on the application and preference. Then, the coordinates C (x) of the other two points of the vector arrow can be obtained by derivation of a geometric formula 2 ，x 2 ) And D (x) 3 ，x 3 )。
Equation 11:
wherein x is 2 Is the abscissa of the point C, γ is the angle between the right side line of the vector arrow and the horizontal line, α is the angle of the vector arrow, and β is the angle between the vector and the horizontal line.
Equation 12: x is the number of 3 ＝x 0 +u-(wu cosα+wvsinα)
x 3 Is the abscissa of the point D.
Equation 13: y is 1 ＝y 0 +tv
y 0 Is the ordinate, Y, of the vector starting point A 1 Is the ordinate of the vector end point B.
Equation 14: y is 2 ＝y 0 +v-(wv cosα+wusinα)
y 2 Is the ordinate of the vector start point C.
Equation 15: y is 3 ＝y 0 +v-(wv cosα-wusinα)
y 3 Is the ordinate of the vector starting point C.
According to equation 10, the abscissa x of the starting point of the flux vector delivered by the vapor 0 And the horizontal size u of the vector and a constant t are summed, so that the abscissa x of the arrow top end point B can be obtained 1 . Similarly, according to the formula 13, the vector ordinate y is obtained 1 . Then, according to the formulas 11, 12, 14 and 15, the coordinates C (x) of the other two points of the vector arrow can be obtained 2 ，y 2 ) And D (x) 3 ，y 3 ). The derivation principles of equations 12, 14 and 15 are the same as equation 11.
And (3) performing straight line drawing on four vertexes forming the water vapor transport flux vector arrow according to the sequence of ABCBD or ABDBC by using the plot function of the IDL, and obtaining the water vapor transport flux vector at one data point of the polar region.
And (4) carrying out iterative processing on the vector data of all grids according to the steps by using the For cycle of the IDL, and carrying out visual superposition display.
An algorithm for visualizing polar water vapor delivery flux vectors is realized by an IDL program.
Claims (6)
1. An algorithm for visualizing polar water vapor transport flux, which is characterized by comprising the following steps:
1) Reading water vapor transmission flux data under a global geographic grid;
2) Converting the data into an equal-area extensible grid with preset resolution; the method comprises the following steps:
setting parameters: establishing an extensible target grid coordinate system by using the projection type, the ellipsoid, the central meridian and the unit; setting the resolution of an expandable target grid coordinate system; establishing a geographic lookup table file according to the original geographic grid coordinate system and the target grid coordinate system so as to determine the result position of the initial position in the original geographic grid coordinate system in the expandable target grid coordinate system; the geographic lookup table file is used for storing the mapping relation between the original geographic grid coordinate and the extensible grid coordinate;
carrying out interpolation transformation on the water vapor transmission flux data under an extensible target grid coordinate system according to the initial position and the result position; obtaining water vapor transmission flux data under the equal-area extensible grid; calculating longitude and latitude data of the result data corresponding to the grid under the original geographic grid coordinate system for drawing;
3) Correcting the direction of the horizontal data and the vertical data;
4) For each grid, determining the coordinates of the starting point of the vapor delivery flux vector;
5) Calculating the vertex coordinates of the arrow according to the horizontal size and the vertical size of the water vapor conveying flux vector and the self-defined arrow angle and length;
6) Sequentially connecting four vertexes of the arrow to form a line, and drawing a single arrow;
7) And repeating the steps 4) -6), performing iterative processing on all grids, and performing superposition display on all polar water vapor transmission vectors to finish drawing.
2. The algorithm for visualizing polar water vapor transport flux as claimed in claim 1, wherein said performing directional corrections on the horizontal data and the vertical data comprises: the horizontal component in the data under the original geographic grid coordinate system takes longitude and latitude as reference, the horizontal component is positive to the east and negative to the west, the vertical component is positive to the north and negative to the south;
and after the data are converted into the equal-area extensible grid, adjusting according to the quadrant and the longitude and latitude, so that the result data under the extensible target grid coordinate system are subjected to vector coordinate positioning by taking the x axis and the y axis as a horizontal component and a vertical component.
3. The algorithm for visualizing polar water vapor transport flux as claimed in claim 1, wherein the coordinates of the starting point of the water vapor transport flux vector are determined as follows: reading horizontal data and vertical data of a water vapor transport flux vector under an equal-area expandable grid, and taking the abscissa of the central point of the grid where the data point is located as the abscissa x of the vector starting point A 0 The ordinate of the central point is taken as the ordinate y of the vector starting point A 0 。
4. The visualization algorithm for polar water vapor transport flux according to claim 1, wherein the coordinates of three points of the vector arrow are calculated according to the horizontal size, the vertical size, the customized arrow angle and the customized arrow length, specifically: according to the coordinates of the starting point A of the vapor transmission flux vector, the abscissa x of the starting point A of the vapor transmission flux vector is determined 0 Adding the horizontal offset to obtain the abscissa x of the arrow head top end point B 1 The horizontal offset is the vector horizontal size u multiplied by a constant t; the ordinate y of the vertex B can be obtained by the same method 1 (ii) a According to the length l and the angle alpha of the vector arrow, the coordinates C (x) of the other two points of the vector arrow can be obtained by derivation of a geometric formula 2 ，x 2 ) And D (x) 3 ，x 3 )。
5. The polar water vapor transport flux visualization algorithm according to claim 4, wherein the step of sequentially connecting the four vertices of the arrow to form a line to draw a single arrow is specifically: and connecting according to the sequence of the ABCBD or the ABDBC by using an IDL curve drawing function to obtain a water vapor transmission flux vector at the grid where a vector data point of the polar region is located.
6. The algorithm for visualizing polar water vapor transport flux as claimed in claim 1, wherein the iterative processing is performed on all grids, and all polar water vapor transport vectors are displayed in an overlapping manner, and the algorithm is completed by drawing: and (4) performing iterative drawing on all data points in the data frame according to the steps by using a circulation function of the IDL, and visualizing all vector arrows to obtain a final polar water vapor transport flux vector diagram.
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