Regression Modelling of Shape Through Triangulation

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Moghim beygi Meysam; GOLALIZADEH MOUSA

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Journal: JOURNAL OF STATISTICAL SCIENCES Year:2019 | Volume:13 | Issue:1 Page(s): 185-196

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Title

Regression Modelling of Shape Through Triangulation

Author(s)

Moghim beygi Meysam | GOLALIZADEH MOUSA | Issue Writer Certificate

Keywords

Pherical RegressionQ1

Shape AnalysisQ1

TriangulationQ1

Procrustes MatchingQ1

Non-Euclidean SpaceQ1

Abstract

Recalling the definition of shape as a point on hyper-sphere, proposed by Kendall, the regression model is studied in this paper. In order to simplify the modeling, the Triangulation via two landmarks is proposed. The Triangulation not only simplifies the regression modelling of the shapes but also provides straightforward computation procedure to reconstruct geometrical structure of the objects. Novelty of the proposed method in this paper is on using the predictor variable, based upon the shape, which suitably describes the geometrical variability of the response. The comparison and evaluation of the proposed methods with the full Procrustes Matching through the mean square error criteria are done. Application of two models for the configurations of rat skulls is investigated.

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APA: Copy

Moghim beygi, Meysam, & GOLALIZADEH, MOUSA. (2019). Regression Modelling of Shape Through Triangulation. JOURNAL OF STATISTICAL SCIENCES, 13(1 ), 185-196. SID. https://sid.ir/paper/124125/en

Vancouver: Copy

Moghim beygi Meysam, GOLALIZADEH MOUSA. Regression Modelling of Shape Through Triangulation. JOURNAL OF STATISTICAL SCIENCES[Internet]. 2019;13(1 ):185-196. Available from: https://sid.ir/paper/124125/en

IEEE: Copy

Meysam Moghim beygi, and MOUSA GOLALIZADEH, “Regression Modelling of Shape Through Triangulation,” JOURNAL OF STATISTICAL SCIENCES, vol. 13, no. 1 , pp. 185–196, 2019, [Online]. Available: https://sid.ir/paper/124125/en

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