Topic
Perspective (geometry)
About: Perspective (geometry) is a research topic. Over the lifetime, 277 publications have been published within this topic receiving 5795 citations. The topic is also known as: perspective (geometry).
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24 Mar 2011
TL;DR: In this paper, an apparatus for detecting an object and method thereof are provided to efficiently detect and trace a moving object using a perspective plane, and the movement of the detected object is traced.
Abstract: PURPOSE: An apparatus for detecting an object and method thereof are provided to efficiently detect and trace a moving object using a perspective plane. CONSTITUTION: A perspective plane is established for a background scene(S100). A filter value corresponding to an object detection minimum size, and the established perspective plane(S120). A moving object in the background scene is detected(S130). In the background scene, the movement of the detected object is traced(S140).
2 citations
TL;DR: In this paper, a consistent method for the calculation of the coordinates of the perspective center of a plotting machine based on colinearity principles is presented, and it is demonstrated that the criteria adopted for the solution can significantly alter the result obtained.
2 citations
TL;DR: A novel optimization approach for reconstruction a planar object from a perspective line drawing based on iterative technique and results show that in addition to the ideal line drawing, the proposed algorithm can be applied to the practical line drawing.
Abstract: Based on iterative technique, a novel optimization approach for reconstruction a planar object from a perspective line drawing is proposed. Some constraint relationships between edges of a planar object are deduced and formulated as a linear system. The planar object can be recovered by solving the linear system. If the line drawing is a practical line drawing, the recovered planar object will be re-projected onto the projective plane. And then the parameters of the projection will be weighed with those of the corresponding line in original line drawing. The new linear system can be achieved by substituting the weighted parameters into the original linear system and solved again. This procedure is iterated until the value of an object function is smaller than the threshold predefined. Experiment results show that in addition to the ideal line drawing, the proposed algorithm can be applied to the practical line drawing.
2 citations
01 Jan 2006
TL;DR: In this paper, the authors give a simple proof using complex numbers and the notion of triangle shape, showing that if two triangles in the Euclidean plane are directly similar and perspective from a point then either their sides are parallel in pairs or their circumcircles pass through the point of perspectivity.
Abstract: An old theorem of F. E. Wood (9) states that if two triangles in the Euclidean plane are directly similar and perspective from a point then either their sides are parallel in pairs or their circumcircles pass through the point of perspectivity. In this note, we give a simple proof using complex numbers and the notion of triangle shape.
2 citations
10 Jan 1993
TL;DR: In this article, a set of constraints is derived on camea parameters in terms of perspective line mapping, and the same perspective transformation matrix as that for point mapping can be computed linearly.
Abstract: The basic idea of calibrating a camera system in previous approaches is to determine camera parmeters by using a set of known 3D points as calibration reference.In this paper,we present a method of camera calibration in whih camera parameters are determined by a set of 3D lines.A set of constraints is derived on camea parameters in terms of perspective line mapping.Form these constraints,the same perspective transformation matrix as that for point mapping can be computed linearly.The minimum number of calibration lines is 6.This result generalizes that of Liu,Huang and Faugeras^[12] for camera location determination in which at least 8 line correspondences are required for linear computation of camera location.Since line segments in an image can be located easily and more accurately than points,the use of lines as calibration reference tends to ease the computation in inage preprocessing and to improve calibration accuracy.Experimental results on the calibration along with stereo reconstruction are reported.
1 citations