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Beautification of Wireframe Model of Three-Dimensional Objects Based on Parallel and Vertical Linear Relationship

Abstract: In order to solve the problem that errors may exist in the geometrical interpretation#br# of the relationship between the lines and thus result in the inadequacy in visual expression, a#br# method is developed on parallel and vertical linear relationship for beautifying the wireframe#br# model of three-dimensional objects. Firstly, the ridge direction vector of the three-dimensional#br# wireframe models in the face projection space is calculated and a benchmark ridge is chosen; then#br# geometric errors appearing in wireframe model are corrected by the parallel and vertical constraint#br# of the linear relationship, the corrected ridge is reselected as the new benchmark and a repeatition#br# of the operation is conducted. Finally, the new coordinates of the vertices of the three-dimensional#br# wireframe models are calculated according to the new ridge parameter. The numerical example#br# shows that the proposed methods can effectively solve the parallel and vertical geometric#br# problems in the wireframe model to beautify the wireframe model.#br# Key words: line drawing interpretation; wireframe model; geometry structure; beautification   

  • Online:2015-06-30 Published:2015-05-05

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Abstract: In order to solve the problem that errors may exist in the geometrical interpretation
of the relationship between the lines and thus result in the inadequacy in visual expression, a
method is developed on parallel and vertical linear relationship for beautifying the wireframe
model of three-dimensional objects. Firstly, the ridge direction vector of the three-dimensional
wireframe models in the face projection space is calculated and a benchmark ridge is chosen; then
geometric errors appearing in wireframe model are corrected by the parallel and vertical constraint
of the linear relationship, the corrected ridge is reselected as the new benchmark and a repeatition
of the operation is conducted. Finally, the new coordinates of the vertices of the three-dimensional
wireframe models are calculated according to the new ridge parameter. The numerical example
shows that the proposed methods can effectively solve the parallel and vertical geometric
problems in the wireframe model to beautify the wireframe model.

Key words: line drawing interpretation, wireframe model, geometry structure, beautification