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Role Model of Graph Coloring Application in Labeled 2D Line Drawing Object

A. A. Samah, M. Z. Matondang, H. Haron, H. A. Majid, N. K. Ibrahim

Pages - 82 - 91 | Revised - 01-11-2011 | Published - 15-12-2011

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KEYWORDS

Engineering Sketch, Line Labeling, Graph Coloring

ABSTRACT

Several researches had worked on the development of sketch interpreters. However, very few of them gave a complete cycle of the sketch interpreter which can be used to transform an engineering sketch to a valid solid object. In this paper, a framework of the complete cycle of the sketch interpreter is presented. The discussion in this paper will stress on the usage of line labeling and graph coloring application in the validation of two dimensional (2D) line drawing phase. Both applications are needed to determine whether the given 2D line drawing represent possible or impossible object. In 2008, previous work by Matondang et al., has used line labeling algorithm to validate several 2D line drawings. However, the result shows that line labeling algorithm is not sufficient, as the algorithm does not have a validation technique for the result. Therefore, in this research study, it is going to be shown that if a 2D line drawing is valid as a possible object by using the line labeling algorithm, then it can be colored using graph coloring concept with a determine-able minimum numbers of color needed. This is equal in vice versa. The expected output from this phase is a valid-labeled of 2D line drawing with different colors at each edge and ready for the reconstruction phase. As a preliminary result, a high programming language MATLAB R2009a and several primitive 2D line drawings has been used and presented in this paper to test the graph coloring concept in labeled 2D line drawing.

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Dr. A. A. Samah

- Malaysia

Mr. M. Z. Matondang

- Malaysia

muhammadzaini@gmail.com

Associate Professor H. Haron

- Malaysia

Mr. H. A. Majid

- Malaysia

Miss N. K. Ibrahim

- Malaysia