COMPUTATIONAL PROJECTIVE GEOMETRY

被引:37
作者
KANATANI, K
机构
[1] Department of Computer Science, Gunma University, Kiryu, Gunma
来源
CVGIP-IMAGE UNDERSTANDING | 1991年 / 54卷 / 03期
关键词
D O I
10.1016/1049-9660(91)90034-M
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
A computational formalism is given to computer vision problems involving collinearity and concurrency of points and lines on a 2-D plane from the viewpoint of projective geometry. The image plane is regarded as a 2-D projective space, and points and lines are represented by unit vectors consiting of homogeneous coordinates, called N-vectors. Fundamental notions of projective geometry such as collineations, correlations, polarities, poles, polars, and conis are reformulated as "computational" processes in terms of N-vectors. They are also given 3-D interpretations by regarding 2-D images as perspective projection of 3-D scenes. This N-vector formalism is further extended to infer 3-D translational motions from 2-D motion images. Stereo is also viewed as a special type of translational motion. Three computer vision applications are briefly discussed-interpretation of a rectangle, interpretation of a road, and interpretation of planar surface motion. © 1991.
引用
收藏
页码:333 / 348
页数:16
相关论文
共 32 条
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