scholarly journals VISIBILITY ANALYSIS OF HUGE OUTDOOR ADVERTISEMENTS ALONG GUADALUPE BRIDGE IN EDSA HIGHWAY FROM STRUCTURE-FROM-MOTION PHOTOGRAMMETRY

2019 ◽  
Vol XLII-4/W16 ◽  
pp. 385-390
Author(s):  
M. N. Manansala ◽  
R. M. Ong ◽  
K. A. Vergara
Keyword(s):  
Structure From Motion ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Product Placement ◽  
Point Of View ◽  
Outdoor Advertising ◽  
Visibility Analysis ◽  
Moving Vehicle ◽  
The Road ◽  
The People

Abstract. When it comes to business and marketing, huge outdoor advertising is considered as one of the best ways by contributing largely in disseminating information about a product, service or even raise awareness. With commuters or the people riding in a moving car as its target audience, the placement of advertising materials is very crucial since it should be visible and must deliver its message in a short span of time. This study tests the methodology of gathering data using action camera and DSLR mounted and situated on a moving vehicle, utilizing structure from motion techniques, to extract the geometry of the billboards from the point cloud generated from structure-from-motion as acquired from camera videos that would be used to represent these billboards in the three-dimensional space. These extracted geometries would be used for visibility analysis from a passenger’s point of view by assessing the percentage of visible content and logos of each billboard from each point of observation along the path of a moving vehicle. The results of this study are nine sets of mean percent visibilities and raster representations that show the mean percent visibility of the billboards as viewed from the road of interest. To assess product placement effectiveness of the billboards, visibility percentage of the product logos contained in the nine billboards was also obtained.

scholarly journals STEREO VISION METHOD APPLICATION TO ROAD INSPECTION

2017 ◽  
Vol 12 (1) ◽  
pp. 38-47 ◽  
Author(s):  
Marcin Staniek
Keyword(s):  
Stereo Vision ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Corner Detection ◽  
Stereo Images ◽  
Processing Technologies ◽  
The Road ◽  
Road Pavement ◽  
Road Inspection ◽  
Set Of Points

The paper presents the stereo vision method for the mapping of road pavement. The mapped road is a set of points in three-dimensional space. The proposed method of measurement and its implementation make it possible to generate a precise mapping of a road surface with a resolution of 1 mm in transverse, longitudinal and vertical dimensions. Such accurate mapping of the road is the effect of application of stereo images based on image processing technologies. The use of matching measure CoVar, at the stage of images matching, help eliminate corner detection and filter stereo images, maintaining the effectiveness of the algorithm mapping. The proper analysis of image-based data and application of mathematical transformations enable to determine many types of distresses such as potholes, patches, bleedings, cracks, ruts and roughness. The paper also aims at comparing the results of proposed solution and reference test-bench. The statistical analysis of the differences permits the judgment of error types.

scholarly journals Platonic solids generate their four-dimensional analogues

2013 ◽  
Vol 69 (6) ◽  
pp. 592-602 ◽  
Author(s):  
Pierre-Philippe Dechant
Keyword(s):  
Coxeter Groups ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Root Systems ◽  
Point Of View ◽  
Platonic Solids ◽  
Four Dimensions ◽  
Potential Applications ◽  
Regular Convex ◽  
Quasi Crystals

This paper shows how regular convex 4-polytopes – the analogues of the Platonic solids in four dimensions – can be constructed from three-dimensional considerations concerning the Platonic solids alone.Viathe Cartan–Dieudonné theorem, the reflective symmetries of the Platonic solids generate rotations. In a Clifford algebra framework, the space of spinors generating such three-dimensional rotations has a natural four-dimensional Euclidean structure. The spinors arising from the Platonic solids can thus in turn be interpreted as vertices in four-dimensional space, giving a simple construction of the four-dimensional polytopes 16-cell, 24-cell, theF4root system and the 600-cell. In particular, these polytopes have `mysterious' symmetries, that are almost trivial when seen from the three-dimensional spinorial point of view. In fact, all these induced polytopes are also known to be root systems and thus generate rank-4 Coxeter groups, which can be shown to be a general property of the spinor construction. These considerations thus also apply to other root systems such as A_{1}\oplus I_{2}(n) which induces I_{2}(n)\oplus I_{2}(n), explaining the existence of the grand antiprism and the snub 24-cell, as well as their symmetries. These results are discussed in the wider mathematical context of Arnold's trinities and the McKay correspondence. These results are thus a novel link between the geometries of three and four dimensions, with interesting potential applications on both sides of the correspondence, to real three-dimensional systems with polyhedral symmetries such as (quasi)crystals and viruses, as well as four-dimensional geometries arising for instance in Grand Unified Theories and string and M-theory.

Locus of the Axis of Vibration for a Vibrating System With Variable Location of a Mass Center

2000 ◽  
Author(s):  
Byung Ju Dan ◽  
Yong Je Choi
Keyword(s):  
Vibration Analysis ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Analytical Form ◽  
Point Of View ◽  
Information Storage ◽  
Mode Shapes ◽  
Storage Device ◽  
Geometrical Approach ◽  
Mass Center

Abstract A typical approach to a linear vibration analysis of an elastically supported single rigid body is to rearrange a dynamic model into a corresponding eigenvalue problem. From the geometrical point of view, the eigenvectors in the planar vibration analysis can be interpreted as pure rotations about the vibration center or pure translations. In a three dimensional space, they represent repetitive twisting motions about the axes of vibrations. By taking a geometrical approach to the vibration analysis, the vibration mode shapes may be better understood. In this paper, the influence of variable location of a mass center on the locations of the axes of vibrations and the natural frequencies are investigated by means of the locus of the axis of vibration expressed in analytical form, which represents the geometrical locus of the eigenvector. A numerical example is used to clearly illustrate the vibration phenomena of an optical pick-up used in an information storage device.

Estimate the Size of the Moving Vehicle LWH Based on Machine Vision

2014 ◽  
Vol 716-717 ◽  
pp. 1631-1635
Author(s):  
Jie Wang ◽  
Tong Qiang Li
Keyword(s):  
Machine Vision ◽  
Three Dimensional ◽  
Road Transport ◽  
Test Results ◽  
Projection Model ◽  
Moving Vehicle ◽  
Dimensional Image ◽  
Two Dimensional Image ◽  
The Road ◽  
Length Width

The main content of this paper is based on the estimate of LWH(length width and height) dimensions of a machine vision moving vehicle. The information of a vehicle’s length width and height is an important parameter to monitor Road. To achieve non-contact rapid detection of the parameter of a moving vehicle’s size, can effectively improve the efficiency of the road monitoring and provide effective technical means for China's road transport management department. First get the vehicle in sequences image and extract the vehicle from background. Then, we transform the two-dimensional image to three-dimensional image with a simple projection model for getting the parameters of the length, width and height of the vehicle. Experiments show that the accuracy of the test results of this algorithm is relatively high.

scholarly journals Ideals of Herzog–Northcott type

2011 ◽  
Vol 54 (1) ◽  
pp. 161-186 ◽  
Author(s):  
Liam O'Carroll ◽  
Francesc Planas-Vilanova
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Regular Sequence ◽  
Point Of View ◽  
Prime Ideals ◽  
Monomial Curves ◽  
Definition Of ◽  
Minimal Prime ◽  
Special Case ◽  
Three Dimensional Space

AbstractThis paper takes a new look at ideals generated by 2×2 minors of 2×3 matrices whose entries are powers of three elements not necessarily forming a regular sequence. A special case of this is the ideals determining monomial curves in three-dimensional space, which were studied by Herzog. In the broader context studied here, these ideals are identified as Northcott ideals in the sense of Vasconcelos, and so their liaison properties are displayed. It is shown that they are set-theoretically complete intersections, revisiting the work of Bresinsky and of Valla. Even when the three elements are taken to be variables in a polynomial ring in three variables over a field, this point of view gives a larger class of ideals than just the defining ideals of monomial curves. We then characterize when the ideals in this larger class are prime, we show that they are usually radical and, using the theory of multiplicities, we give upper bounds on the number of their minimal prime ideals, one of these primes being a uniquely determined prime ideal of definition of a monomial curve. Finally, we provide examples of characteristic-dependent minimal prime and primary structures for these ideals.

scholarly journals Perceptually Valid Facial Expressions for Character-Based Applications

2009 ◽  
Vol 2009 ◽  
pp. 1-13 ◽  
Author(s):  
Ali Arya ◽  
Steve DiPaola ◽  
Avi Parush
Keyword(s):  
Facial Expression ◽  
Language Learning ◽  
Facial Expressions ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Point Of View ◽  
Mixed Emotions ◽  
Dynamic Facial Expressions ◽  
Emotion Model ◽  
Three Dimensional Space

This paper addresses the problem of creating facial expression of mixed emotions in a perceptually valid way. The research has been done in the context of a “game-like” health and education applications aimed at studying social competency and facial expression awareness in autistic children as well as native language learning, but the results can be applied to many other applications such as games with need for dynamic facial expressions or tools for automating the creation of facial animations. Most existing methods for creating facial expressions of mixed emotions use operations like averaging to create the combined effect of two universal emotions. Such methods may be mathematically justifiable but are not necessarily valid from a perceptual point of view. The research reported here starts by user experiments aiming at understanding how people combine facial actions to express mixed emotions, and how the viewers perceive a set of facial actions in terms of underlying emotions. Using the results of these experiments and a three-dimensional emotion model, we associate facial actions to dimensions and regions in the emotion space, and create a facial expression based on the location of the mixed emotion in the three-dimensional space. We call these regionalized facial actions “facial expression units.”

scholarly journals THE SANSEVERO CHAPEL, A THREE-DIMENSIONAL POINT OF VIEW

2019 ◽  
Vol XLII-2/W15 ◽  
pp. 299-304
Author(s):  
V. Cera ◽  
D. Marcos González ◽  
L. A. Garcia
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Point Of View ◽  
Two Dimensional ◽  
Dimensional Representation ◽  
Survey Techniques ◽  
Representation Systems ◽  
Representation Of Space ◽  
Special Relevance ◽  
Three Dimensional Space

<p><strong>Abstract.</strong> In this article, the importance of the three-dimensional survey in architectural spaces will be studied, taking special relevance in the study of the perception of perspective, since three-dimensional space would not be understood from a two-dimensional representation of space. The project aims to develop a comparison between the representation systems based on the automatic acquisition of various data by different 3D survey techniques. In particular, the document reports the results of an analysis based on the Sansevero Chapel in Naples.</p>

scholarly journals NONLINEAR MATHEMATICAL MODEL OF PEDAGOGICAL SYSTEM FUNCTIONING

2020 ◽  
Vol 34 (4) ◽  
pp. 93-98
Author(s):  
Irina V. Konopleva ◽  
◽  
Anna R. Sibireva ◽  
Keyword(s):  
Mathematical Model ◽  
Numerical Modeling ◽  
Differential Equations ◽  
Dimensional Space ◽  
Nonlinear Differential Equations ◽  
Three Dimensional ◽  
Stability Limit ◽  
Point Of View ◽  
Social Phenomena ◽  
System Functioning

The purpose of this article is to study the crisis in pedagogical systems from the point of view of an internal observer. The aim of the work is to build and investigate a mathematical model describing the course of crises in pedagogical systems. When building the model, a synergetic methodology, system and process approaches are used. For the mathematical analysis of various social phenomena, systems of differential equations are used to investigate the dynamics of the process. The paper considers a system of nonlinear differential equations in three-dimensional space that describes the functioning of the pedagogical system during the crisis. Numerical and topological methods of nonlinear dynamics, the method of Lyapunov characteristic exponents and the theory of strange attractors by Lorentz were used to study it. Numerical modeling of system solutions for various sets of control parameters (system coefficients) makes it possible to determine the region of stability (asymptotic stability), limit cycles, bifurcation points, and describe possible trajectories of development of the pedagogical system. Mathematical modeling deepens the knowledge about the essence of crises, the peculiarities of their course, makes it possible to study qualitative and numerical modeling, and also allows predicting possible effective measures to combat crisis phenomena and develop new approaches in the management of pedagogical systems.

scholarly journals The interpretation of structure from motion

1979 ◽  
Vol 203 (1153) ◽  
pp. 405-426 ◽  
Keyword(s):  
Structure From Motion ◽  
Three Dimensional ◽  
Point Of View ◽  
Dimensional Structure ◽  
Two Dimensional ◽  
Three Dimensional Structure ◽  
Structure And Motion ◽  
Rigid Objects ◽  
The Individual

The interpretation of structure from motion is examined from a computional point of view. The question addressed is how the three dimen­sional structure and motion of objects can be inferred from the two dimensional transformations of their projected images when no three dimensional information is conveyed by the individual projections. The following scheme is proposed: (i) divide the image into groups of four elements each; (ii) test each group for a rigid interpretation; (iii) combine the results obtained in (ii). It is shown that this scheme will correctly decompose scenes containing arbitrary rigid objects in motion, recovering their three dimensional structure and motion. The analysis is based primarily on the ʻstructure from motion’ theorem which states that the structure of four non-coplanar points is recoverable from three orthographic projections. The interpretation scheme is extended to cover perspective projections, and its psychological relevance is discussed.

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