Abstract | ||
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This paper discusses how a fine segment and segment pair in a 3-dimensional space are constrained by an image obtained by their perspective projection. Also, it introduces the concept of polarity in the interpretation of a line-segment image obtained under perspective projection and gives a definition of a spherical PAT curve. In addition, the relationship is explained between a PAT constraint 151, which is of an angle formed by two line segments on a plane, and the spherical PAT curve [7], which is a constraint of two line segments at an arbitrary position in a 3-dimensional space (an extended idea of the former). Although the spherical PAT curve an be obtained formally by projecting a plane PAT curve onto a sphere, and this is justified for a semisphere, the meaning of this on the opposite semisphere has not been clarified with a justification. This paper justifies the sphere PAT curve by discussing the polarity of the segment interpretation, and explains its accurate meaning. This paper also describes the characteristics of a spherical PAT curve. The idea will have many applications to image understanding. |
Year | DOI | Venue |
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1994 | 10.1002/scj.4690250403 | SYSTEMS AND COMPUTERS IN JAPAN |
Keywords | Field | DocType |
PERSPECTIVE PROJECTION,SINGLE IMAGE,PAT CONSTRAINT,LINE SEGMENT PAIR | Line segment,Computer vision,Inverse,Computer science,Image processing,Algorithm,Perspective (graphical),Artificial intelligence,Geometry | Journal |
Volume | Issue | ISSN |
25 | 4 | 0882-1666 |
Citations | PageRank | References |
1 | 0.39 | 4 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Takeshi Shakunaga | 1 | 192 | 43.46 |