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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).


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Proceedings Article
01 Jan 2011
TL;DR: An object-based and a camera-based computer graphics procedure to prevent projective distortions and misalignments are introduced to provide humancentered interfaces for an efficient and coherent communication of spatial information in virtual worlds.
Abstract: Projection of three-dimensional space onto a two-dimensional surface relies on the computer graphics camera based in design on the camera obscura. Geometrical limitations of this model lead to perspective distortions in wide-angle projections. Including the camera model, our approach is to involve the human perception in order to create a realistic spatial impression by a two-dimensional image. The aim is to provide humancentered interfaces for an efficient and coherent communication of spatial information in virtual worlds to support avatar-mediated interaction with its need for correct depiction of human figures concerning proportion and orientation. To this end, we explain an object-based and introduce a camera-based computer graphics procedure to prevent projective distortions and misalignments.

2 citations

Book
22 May 2006
TL;DR: In this paper, one point, two point and three point perspective with objects inclined to the ground plane (from the worm'seye to the bird's-eye point of view) is presented.
Abstract: Part I: One point, two point and three-point perspective with objects inclined to the ground plane (from the worm's-eye to the bird's-eye point of view) * Part II: Developing the basic principles into a set of valuable creative tools, using step-by-step processes.

2 citations

29 Dec 2011
TL;DR: In this paper, a special attention is given to the conditions which basic elements of perspective collineation have to fulfill in order to obtain the touch or osculation of two conics.
Abstract: All perspective collineations in a real affine plane are classified according to a constant cross-ratio and the position of the center and axis. A special attention will be given to the conditions which basic elements of perspective collineation have to fulfill in order to obtain the touch or osculation or hyperosculation of two conics. On the affine models of an isotropic and pseudo Euclidean plane the osculating circle of a conic is constructed by using perspective collineations.

2 citations

Patent
02 Feb 2018
TL;DR: In this article, the authors proposed an automatic perspective correction method for X-ray image of a BGA welding point, and the method comprises the steps: S1, detecting all welding points in the Xray image; S2, constructing a triangular mesh for the welding points detected at step S1 according to a triangulation algorithm, wherein the intersection points of the lines in the mesh are gathered at the circle center of the welding point; S3, calculating the side lengths of the formed mesh and the mean value of the side length, removing a redundant circle centers according
Abstract: The invention proposes an automatic perspective correction method for X-ray image of a BGA welding point, and the method comprises the steps: S1, detecting all welding points in the X-ray image; S2, constructing a triangular mesh for the welding points detected at step S1 according to a triangulation algorithm, wherein the intersection points of the lines in the mesh are gathered at the circle center of the welding points; S3, calculating the side lengths of the formed mesh and the mean value of the side lengths, removing a redundant circle centers according to a set threshold value till the remaining circle centers meet a specific condition, and extracting four special top points; S4, solving a perspective transformation matrix, carrying out the perspective transformation of an original image through an inverse matrix of the perspective transformation matrix, and forming a front view after perspective correction.

2 citations

Journal ArticleDOI
10 Dec 2019-Sensors
TL;DR: This article presents a method to obtain the overall positioning of the focus of a camera from an image that includes a rectangle in a fixed reference with known position and dimension through the inverse perspective transformation.
Abstract: This article presents a method to obtain the overall positioning of the focus of a camera from an image that includes a rectangle in a fixed reference with known position and dimension. This technique uses basic principles of descriptive geometry introduced in engineering courses. The document will first show how to obtain the dihedral projections of a rectangle after three turns and one translation. Secondly, we will proceed to obtain the image of the rectangle rotated in a conical perspective, taking the elevation plane as the drawing plane and a specific point in space as the view point, and represented in the dihedral system. Thirdly, we proceed with the inverse perspective transformation; we will expose a method to obtain the coordinates in the space of a rectangle obtained from an image. Finally, we check the method experimentally by taking an image of the rectangle with a camera in which the coordinates in the drawing plane (center of the image) are the only available position information. Then, the positioning and orientation of the camera in 3D will be obtained.

2 citations

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