Modified Method for Drawing Geographic Maps by Using Cubic Spline Interpolation
This paper presents suggested modified algorithm to draw the geographic maps. Cubic spline interpolation had been used to draw these maps by generating intermediate points between each two points from a set of given points, where these intermediate points represent the control points which they are...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Unviversity of Technology- Iraq
2016-02-01
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| Series: | Engineering and Technology Journal |
| Subjects: | |
| Online Access: | https://etj.uotechnology.edu.iq/article_112646_0c9f8ac4db19e8863eba28c5f95725e1.pdf |
| _version_ | 1797325979299872768 |
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| author | Abdul-Mohssen J. Abdul-Hossen Imad Issa Fadhala |
| author_facet | Abdul-Mohssen J. Abdul-Hossen Imad Issa Fadhala |
| author_sort | Abdul-Mohssen J. Abdul-Hossen |
| collection | DOAJ |
| description | This paper presents suggested modified algorithm to draw the geographic maps. Cubic spline interpolation had been used to draw these maps by generating intermediate points between each two points from a set of given points, where these intermediate points represent the control points which they are used to constrain the curvature of cubic spline depending on a value named divisor value that representsthe distance between any two adjacent points at spline knots, and specified by the user. Intermediate points have a great effect on curve shape, through dividing the interval between two adjacent points into equal subintervals. This makes the results of the weights ai, bi and ci in spline function will be equal to zero and di has already been determined to be di = yi , according the equations determining the weights,. So we can draw lines and polygons that are necessary in drawinggeographic maps. |
| first_indexed | 2024-03-08T06:17:01Z |
| format | Article |
| id | doaj.art-e9501f8159524b8294324283e475d104 |
| institution | Directory Open Access Journal |
| issn | 1681-6900 2412-0758 |
| language | English |
| last_indexed | 2024-03-08T06:17:01Z |
| publishDate | 2016-02-01 |
| publisher | Unviversity of Technology- Iraq |
| record_format | Article |
| series | Engineering and Technology Journal |
| spelling | doaj.art-e9501f8159524b8294324283e475d1042024-02-04T17:27:23ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582016-02-01342B21622610.30684/etj.34.2B.4112646Modified Method for Drawing Geographic Maps by Using Cubic Spline InterpolationAbdul-Mohssen J. Abdul-HossenImad Issa FadhalaThis paper presents suggested modified algorithm to draw the geographic maps. Cubic spline interpolation had been used to draw these maps by generating intermediate points between each two points from a set of given points, where these intermediate points represent the control points which they are used to constrain the curvature of cubic spline depending on a value named divisor value that representsthe distance between any two adjacent points at spline knots, and specified by the user. Intermediate points have a great effect on curve shape, through dividing the interval between two adjacent points into equal subintervals. This makes the results of the weights ai, bi and ci in spline function will be equal to zero and di has already been determined to be di = yi , according the equations determining the weights,. So we can draw lines and polygons that are necessary in drawinggeographic maps.https://etj.uotechnology.edu.iq/article_112646_0c9f8ac4db19e8863eba28c5f95725e1.pdfcubic spline interpolationintermediate pointsdivisor value |
| spellingShingle | Abdul-Mohssen J. Abdul-Hossen Imad Issa Fadhala Modified Method for Drawing Geographic Maps by Using Cubic Spline Interpolation Engineering and Technology Journal cubic spline interpolation intermediate points divisor value |
| title | Modified Method for Drawing Geographic Maps by Using Cubic Spline Interpolation |
| title_full | Modified Method for Drawing Geographic Maps by Using Cubic Spline Interpolation |
| title_fullStr | Modified Method for Drawing Geographic Maps by Using Cubic Spline Interpolation |
| title_full_unstemmed | Modified Method for Drawing Geographic Maps by Using Cubic Spline Interpolation |
| title_short | Modified Method for Drawing Geographic Maps by Using Cubic Spline Interpolation |
| title_sort | modified method for drawing geographic maps by using cubic spline interpolation |
| topic | cubic spline interpolation intermediate points divisor value |
| url | https://etj.uotechnology.edu.iq/article_112646_0c9f8ac4db19e8863eba28c5f95725e1.pdf |
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