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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).


Papers
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Journal ArticleDOI
TL;DR: It is demonstrated by the use of drawings that two-point perspective drawings based on projective geometry possess systematic distortions and that these distortions can be eliminated in Drawings based on hyperbolic geometry.
Abstract: It is demonstrated by the use of drawings: (i) that two-point perspective drawings based on projective geometry possess systematic distortions, and (ii) that these distortions can be eliminated in drawings based on hyperbolic geometry.

9 citations

Journal ArticleDOI
TL;DR: A perspective-preserving warping for image stitching is suggested, which spatially combines local projective transformations and similarity transformation and thus the final warping can smoothly change from projective to similarity.
Abstract: . Image stitching algorithms often adopt the global transform, such as homography, and work well for planar scenes or parallax free camera motions. However, these conditions are easily violated in practice. With casual camera motions, variable taken views, large depth change, or complex structures, it is a challenging task for stitching these images. The global transform model often provides dreadful stitching results, such as misalignments or projective distortions, especially perspective distortion. To this end, we suggest a perspective-preserving warping for image stitching, which spatially combines local projective transforms and similarity transform. By weighted combination scheme, our approach gradually extrapolates the local projective transforms of the overlapping regions into the non-overlapping regions, and thus the final warping can smoothly change from projective to similarity. The proposed method can provide satisfactory alignment accuracy as well as reduce the projective distortions and maintain the multi-perspective view. Experimental analysis on a variety of challenging images confirms the efficiency of the approach.

9 citations

Proceedings Article
21 Feb 2009
TL;DR: In this paper, the authors proposed a dynamical and stochastic method to model the uncertain in the parameters estimation, which is well suited for use without specialized knowledge of 3D geometry or computer vision.
Abstract: This work presents a novel and simplified technique to estimate the perspective projective matrix elements of calibration matrix for pinhole model in Digital Camera Calibration. The "perspective projective matrix parameters" are variables depending of environmental changes and position and/or orientation camera so we propose a dynamical and stochastic method to model the uncertain in the parameters estimation. It is well suited for use without specialized knowledge of 3D geometry or computer vision. Two morphological matrix operations are introduced: Central(Xk, Yk) and Column(Mk) to generalize the process which obtain the estimated parameters based on pseudo-inverse calculus without consider measures errors, this calibration procedure focus only on perspective projective matrix elements. The mean value respect to 3D points and 2D points used as input information. The theoretical results give a good enough approximation result considering the pseudo-inverse matrix calculus method. In the same sense, the experimental results showed a satisfactory advance in the parameters stochastic estimation theory, respect to velocity change gains.

9 citations

Journal ArticleDOI
TL;DR: The work presented in this paper describes a method of reconstruction of a line in 3-D as an intersection of two planes containing the respective projected line images and the parameters of the reconstructed line are obtained from the Parameters of projected images of the line.
Abstract: Objects in nature as well as man made are bound by planar as well as curvilinear surfaces. Hence the reconstruction process of three dimensional objects involves obtaining the geometrical attributes of these planar and curvilinear surfaces, lines, points etc. If a line in 3-D space is viewed from two arbitrary positions, two different images of the same line are obtained. The correspondence between this pair of projections of the line is assumed to be established in this work. The work presented in this paper describes a method of reconstruction of a line in 3-D as an intersection of two planes containing the respective projected line images. The parameters of the line in 3-D space are obtained from the parameters of projected images of the line. Relevant mathematical formulations and analytical solutions for obtaining the parameters of the reconstructed line are given. The effect of noise in the reconstruction and the efficiency of the described reconstruction methodology are studied by simulation studies.

8 citations

Journal ArticleDOI
TL;DR: In this article, the authors generalize Desargues theorem in the direction of dynamical systems and show that the result comprises an infinite family of configurations, having unbounded complexity.
Abstract: The Desargues theorem is a basic theorem in classical projective geometry. In this paper we generalize Desargues theorem in the direction of dynamical systems. Our result comprises an infinite family of configurations, having unbounded complexity. The proof of the result involves constructing special kinds of hyperplane arrangements and then projecting subsets of them into the plane.

8 citations

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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202110
20204
201910
201813
201712
20167