Go to DBLP homepageA new definition and generation of discrete 3D lines using stacked 2D matrixes
Abstract: In this paper, we present a new definition and generation of discrete 3D lines using stacked 2D matrixes. The new definition of 3D lines based on vertical projection and polar coordinate representations of two 2D lines will be deduced in theory. Assuming the Cartesian coordinates of a space point on the 3D line are known, the new representation of a 3D line is simplified to two angles: azimuth ϕ and elevation θ, and the known space point. According to the new definition, DDA is used to draw 3D lines on stacked 2D matrixes. Therefore, 3D lines generated by DDA step by step are discrete points in all these 2D matrixes. The new definition coinciding to the 3D digital images will be with promising use.
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