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Visualization of Graphical Data in a User-Specified 2D Space using a Weighted Isomap Method

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Citation:
Jong-Chul Yoon, and In-Kwon Lee, "Visualization of Graphical Data in a User-Specified 2D Space using a Weighted Isomap Method", Vol. 76, No. 2, pp. 103-114. Graphical Models (SCI), 2014, March 2014
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Abstract:
Most methods of reducing the dimensionality of a data-set try to maximize the variance of the data in the lower-dimensional space; but the axes that achieve this may have no relation to the meaning of the data. We introduce a new semi-supervised method of dimensionality reduction which can embed data of high dimension in a user-defined coordinate system of lower dimension with axes that are meaningful in terms of the properties of the data. We allow the user to specify the lower-dimensional axes, and embed the data in these axes using a modification of the Isomap method, together with curve-based space warping. Using our method, high-dimensional database, such as image or 3D model list, can be visualized two dimensional space based on the user defined properties.