Polygon Morphing and Its Application in Orebody Modeling
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-10
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Three different polygon morphing methods are examined.
The first one is based on the utilization of the trimmed skeleton of the symmetric difference of the source and target polygons as an intermediate polygon.
The second one reduces the problem to the problem of morphing compatible planar triangulations and utilizes the representation of planar triangulations as a matrix constructed using barycentric coordinates of the planar triangulation's vertices relative to their neighbors.
The third and last one describes the polygon by the parametric curve representation based on estimated Fourier parameters and thus transfers the morphing process to Fourier parametric space.
The different features and comparative results of these methods are shown by the tests with different examples.
These methods are used for generating a set of polygonal sections from two nonplanar polygonal sections which are nearly planar in 3D before constructing a three-dimensional object from these nonplanar sections.
American Psychological Association (APA)
İlhan, Hacer& Gürçay, Haşmet. 2012. Polygon Morphing and Its Application in Orebody Modeling. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-1001871
Modern Language Association (MLA)
İlhan, Hacer& Gürçay, Haşmet. Polygon Morphing and Its Application in Orebody Modeling. Mathematical Problems in Engineering No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-1001871
American Medical Association (AMA)
İlhan, Hacer& Gürçay, Haşmet. Polygon Morphing and Its Application in Orebody Modeling. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-1001871
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001871