scholarly journals Estimación de la ubicación relativa de una cámara utilizando un sistema de visión monocular

2019 ◽  
pp. 18-23
Author(s):  
Saúl Martínez-Díaz
Keyword(s):  
Real World ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Reference Points ◽  
Reference Object ◽  
Relative Location ◽  
The Real ◽  
Processing Power ◽  
Fixed Reference ◽  
Three Dimensional Space

Objective: Estimate the location of a camera with respect to objects in the real world, using monocular vision. Methodology: In this paper we introduce a method to calculate the relative location of the camera with respect to a group of points located in the three-dimensional space. The method requires only three fixed reference points of which the real distance between each pair of points must be known. With this information it is possible to estimate the relative location of the camera when it is moved, using successive images that contain the same points. Contribution: In recent years, processing power of computers has grown considerably and, with this, the interest of the scientific community in visual odometry has also increased. For this purpose, in many cases, it is convenient to use a single camera (monocular system). Unfortunately, a monocular system allows to estimate the location of the camera with respect to some object in the real world only up to a scale factor. The main contribution of this work is the estimation of the location of the camera in real world coordinates with respect to a reference object.

scholarly journals The Algorithm for Determining the Coordinates of a Point in Three-Dimensional Space by Using the Auxiliary Point

2013 ◽  
Vol 48 (4) ◽  
pp. 141-145 ◽  
Author(s):  
Bartlomiej Oszczak ◽  
Eliza Sitnik
Keyword(s):  
Fixed Point ◽  
Precise Measurement ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Satellite Navigation ◽  
Reference Points ◽  
Two Dimensional ◽  
Approximate Location ◽  
The Many ◽  
Three Dimensional Space

ABSTRACT During the process of satellite navigation, and also in the many tasks of classical positioning, we need to calculate the corrections to the initial (or approximate) location of the point using precise measurement of distances to the permanent points of reference (reference points). In this paper the authors have provided a way of developing Hausbrandt's equations, on the basis of which the exact coordinates of the point in two-dimensional space can be determined by using the computed correction to the coordinates of the auxiliary point. The authors developed generalised equations for threedimensional space introducing additional fixed point and have presented proof of derived formulas.

scholarly journals An overview of augmented visualization: observing the real world as desired

2018 ◽  
Vol 7 ◽  
Author(s):  
Shohei Mori ◽  
Hideo Saito
Keyword(s):  
Real World ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Open Problems ◽  
The Real ◽  
Real Objects ◽  
Point Image ◽  
Set Up ◽  
Background Image

Over 20 years have passed since a free-viewpoint video technology has been proposed with which a user's viewpoint can be freely set up in a reconstructed three-dimensional space of a target scene photographed by multi-view cameras. This technology allows us to capture and reproduce the real world as recorded. Once we capture the world in a digital form, we can modify it as augmented reality (i.e., placing virtual objects in the digitized real world). Unlike this concept, the augmented world allows us to see through real objects by synthesizing the backgrounds that cannot be observed in our raw perspective directly. The key idea is to generate the background image using multi-view cameras, observing the backgrounds at different positions and seamlessly overlaying the recovered image in our digitized perspective. In this paper, we review such desired view-generation techniques from the perspective of free-view point image generation and discuss challenges and open problems through a case study of our implementations.

The Geometry of Interference With Application to Obstacle Avoidance

1993 ◽  
Vol 115 (2) ◽  
pp. 300-305
Author(s):  
Y. J. Choi ◽  
C. D. Crane ◽  
G. K. Matthew ◽  
J. Duffy
Keyword(s):  
Obstacle Avoidance ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Relative Displacement ◽  
Reference Object ◽  
Mathematical Tool ◽  
Inverse Mapping ◽  
Geometrical Condition ◽  
Three Dimensional Space ◽  
Interference Problems

A mapping which transforms the relative displacements of one object with respect to a reference object into image points has been developed by interpreting the relative displacement in terms of affine coordinates. The mapping provides a novel mathematical tool that solves interference problems of objects in three-dimensional space. By use of this mapping, the geometrical condition of interference of objects is represented by simple inequalities. The inverse mapping provides the means of avoiding interference and can be utilized for articulation of robot arms so as to avoid collision with obstacles.

scholarly journals Two-Phase Algorithm for Optimal Camera Placement

2016 ◽  
Vol 2016 ◽  
pp. 1-16 ◽  
Author(s):  
Jun-Woo Ahn ◽  
Tai-Woo Chang ◽  
Sung-Hee Lee ◽  
Yong Won Seo
Keyword(s):  
Real World ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Binary Integer Programming ◽  
Visual Sensor ◽  
Placement Problem ◽  
Camera Placement ◽  
Two Phase ◽  
Real World Problem ◽  
Three Dimensional Space

As markers for visual sensor networks have become larger, interest in the optimal camera placement problem has continued to increase. The most featured solution for the optimal camera placement problem is based on binary integer programming (BIP). Due to the NP-hard characteristic of the optimal camera placement problem, however, it is difficult to find a solution for a complex, real-world problem using BIP. Many approximation algorithms have been developed to solve this problem. In this paper, a two-phase algorithm is proposed as an approximation algorithm based on BIP that can solve the optimal camera placement problem for a placement space larger than in current studies. This study solves the problem in three-dimensional space for a real-world structure.

scholarly journals Powers of Elliptic Scator Numbers

2021 ◽  
Author(s):  
Manuel Fernandez-Guasti
Keyword(s):  
Rational Number ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Geometric Interpretation ◽  
Two Dimensional ◽  
Closed Curves ◽  
Complex Algebra ◽  
The Real ◽  
Polar Representation ◽  
Three Dimensional Space

Elliptic scator algebra is possible in 1+n dimensions, n∈N. It is isomorphic to complex algebra in 1+1 dimensions, when the real part and any one hypercomplex component are considered. It is endowed with two representations: an additive one, where the scator components are represented as a sum; and a polar representation, where the scator components are represented as products of exponentials. Within the scator framework, De Moivre’s formula is generalized to 1+n dimensions in the so called victoria equation. This novel formula is then used to obtain compact expressions for the integer powers of scator elements. A scator in S1+n can be factored into a product of n scators that are geometrically represented as its projections onto n two dimensional planes. A geometric interpretation of scator multiplication in terms of rotations with respect to the scalar axis is expounded. The powers of scators, when the ratio of their director components is a rational number, lie on closed curves. For 1+2 dimensional scators, twisted curves in a three dimensional space are obtained. Collecting previous results, it is possible to evaluate the exponential of a scator element in 1+2 dimensions.

scholarly journals Visual Hyper Reality of Teenagers in Social Media With Photographs as Communication Media

2017 ◽  
Vol 2 (4) ◽  
pp. 329
Author(s):  
Adita Miranti
Keyword(s):  
Social Media ◽  
Virtual Reality ◽  
New Media ◽  
Real World ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Virtual Communication ◽  
The Real ◽  
Digital World ◽  
The People

In postmodern era, technology has evolved so rapidly that brings the people into the digital world (cyberspace), a new space to present the virtual reality and to provide free space for every individual to take any action that ends the simulation of reality. The development of digital technology has been brought through human fantasy boundaries, creating a three-dimensional space of the following items inside, going to the stage where virtual reality has exceeded manipulation and visual imagery so we step from the real world into a fantasy world. By reviewing the virtual communication through social media in cyberspace and how the virtual communication through new media (internet), and the formation of identity, the identity of both the real and virtual identities. Freedom and comfort of a virtual entered into a structured system, then to minimize misperceptions, prejudices and miss understanding should be built communications balanced relationship between the real world and the virtual world.

Extension of the Spatial PDI Model to Three Dimensions

1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien
Keyword(s):  
Population Density ◽  
Dimensional Space ◽  
Finite Lattice ◽  
Three Dimensional ◽  
Upper Bounds ◽  
Three Dimensions ◽  
Lower And Upper Bounds ◽  
Density Index ◽  
Three Dimensional Space

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.

A Peptoid with Extended Shape in Water

2019 ◽  
Author(s):  
Jumpei Morimoto ◽  
Yasuhiro Fukuda ◽  
Takumu Watanabe ◽  
Daisuke Kuroda ◽  
Kouhei Tsumoto ◽  
...  
Keyword(s):  
Spectroscopic Analysis ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Biomolecular Recognition ◽  
Biological Application ◽  
New Class ◽  
Proteolytic Resistance ◽  
Pharmacokinetic Properties ◽  
Optically Pure ◽  
Three Dimensional Space

<div> <div> <div> <p>“Peptoids” was proposed, over decades ago, as a term describing analogs of peptides that exhibit better physicochemical and pharmacokinetic properties than peptides. Oligo-(N-substituted glycines) (oligo-NSG) was previously proposed as a peptoid due to its high proteolytic resistance and membrane permeability. However, oligo-NSG is conformationally flexible and is difficult to achieve a defined shape in water. This conformational flexibility is severely limiting biological application of oligo-NSG. Here, we propose oligo-(N-substituted alanines) (oligo-NSA) as a new peptoid that forms a defined shape in water. A synthetic method established in this study enabled the first isolation and conformational study of optically pure oligo-NSA. Computational simulations, crystallographic studies and spectroscopic analysis demonstrated the well-defined extended shape of oligo-NSA realized by backbone steric effects. The new class of peptoid achieves the constrained conformation without any assistance of N-substituents and serves as an ideal scaffold for displaying functional groups in well-defined three-dimensional space, which leads to effective biomolecular recognition. </p> </div> </div> </div>

Sign in / Sign up

Export Citation Format

Share Document