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Image and Terrain Modeling using Incremental Delaunay Triangulation

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Image and Terrain Modeling using Incremental Delaunay Triangulation

by Omid Sakhi

 

07 Feb 2010 (Updated 27 Dec 2010)

This program model image/digital elevation data using incremental Delaunay triangulations.

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Description

Digital elevation models can be considered just like an intensity images. Regardless of working with digital evevation models or digital images, they can be considered as a 2.5 dimensional surface, in which the row, column and grey level values represent the x, y and z respectively, using geometrical representations, such as Delaunay triangulation is possible and even attractive because scaling, translation and rotation operations can be simply implemented by applying affine transformations to the coordinates of the vertices.

The algorithm starts with a few points, a minimum of four points covering the entire area of the image. Then it keeps adding more pixels from the image grid to the triangulation domain to obtain an approximation with smaller error.

more:

Omid B.Sakhi, H. Miar Naeimi, "A Hybrid Refinement/Decimation Triangulation Method for Image Approximation", IET, 2008, 351-356.

S. Soommart and K. Paitoonwattanakij, “Incremental Delaunay Triangulation Algorithm for Digital Terrain Modelling”, Thammasat Int. J. Sc. Tech. , Vol. 4, No.2, July 1999.

Required Products Image Processing Toolbox
MATLAB release MATLAB 7.8 (R2009a)
Other requirements This submission depends on DelaunayTri function based on CGAL library which is introduced in MATLAB R2009a.
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Comments and Ratings (1)
18 Mar 2010 sivabalan N

its really helped me lot...

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Updates
27 Dec 2010

Some additional notes on the submission are added.

Tag Activity for this File
Tag Applied By Date/Time
image Omid Sakhi 08 Feb 2010 12:13:53
terrain Omid Sakhi 08 Feb 2010 12:13:53
modeling Omid Sakhi 08 Feb 2010 12:13:53
approximation Omid Sakhi 08 Feb 2010 12:13:53
delaunay Omid Sakhi 08 Feb 2010 12:13:53
triangulation Omid Sakhi 08 Feb 2010 12:13:53
incremental delaunay triangulation Omid Sakhi 08 Feb 2010 12:13:53
image modeling Omid Sakhi 08 Feb 2010 12:13:53
image approximation Omid Sakhi 08 Feb 2010 12:13:53
terrain modeling Omid Sakhi 08 Feb 2010 12:13:53
triangular irrigular networks Omid Sakhi 08 Feb 2010 12:13:53
tin networks Omid Sakhi 27 Dec 2010 07:56:05
image modelling Omid Sakhi 27 Dec 2010 07:56:33
triangular networks Omid Sakhi 27 Dec 2010 07:57:36
height modeling Omid Sakhi 27 Dec 2010 07:58:14
digital terrain models Omid Sakhi 27 Dec 2010 07:58:20
digital elevation models Omid Sakhi 27 Dec 2010 07:59:14
digital elevation modeling Omid Sakhi 27 Dec 2010 07:59:21
digital terrain modeling Omid Sakhi 27 Dec 2010 07:59:41
dem Omid Sakhi 27 Dec 2010 08:00:10

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