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Multimodal Interaction on Automultiscopic Content with Mobile Surface Haptics

  • Kim, Jin Ryong;Shin, Seunghyup;Choi, Seungho;Yoo, Yeonwoo
    • ETRI Journal
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    • v.38 no.6
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    • pp.1085-1094
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    • 2016
  • In this work, we present interactive automultiscopic content with mobile surface haptics for multimodal interaction. Our system consists of a 40-view automultiscopic display and a tablet supporting surface haptics in an immersive room. Animated graphics are projected onto the walls of the room. The 40-view automultiscopic display is placed at the center of the front wall. The haptic tablet is installed at the mobile station to enable the user to interact with the tablet. The 40-view real-time rendering and multiplexing technology is applied by establishing virtual cameras in the convergence layout. Surface haptics rendering is synchronized with three-dimensional (3D) objects on the display for real-time haptic interaction. We conduct an experiment to evaluate user experiences of the proposed system. The results demonstrate that the system's multimodal interaction provides positive user experiences of immersion, control, user interface intuitiveness, and 3D effects.

Metal pad Discolored Image Classification Algorithm using Geometric Texture Information (기하학적 텍스쳐 정보를 이용한 금속 패드 변색영상 분류 알고리즘)

  • Cui, Xue Nan;Kim, Hak-Il
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.5
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    • pp.469-475
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    • 2010
  • This paper presents a method of classifying discolored defects of metal pads using geometric texture for AFVI (Automated Final Vision Inspection) systems. In PCB manufacturing process, the metal pads on PCB can be oxidized and discolored partly due to various environmental factors. Nowadays the discolored defects are manually detected and rejected from the process. This paper proposes an efficient geometric texture feature, SUTF (Symmetry and Uniformity Texture Feature) based on the symmetric and uniform textural characteristics of the surface of circular metal pads for automating AFVI systems. In practical experiments with real samples acquired from a production line, 30 discolored images and 1232 roughness images are tested. The experimental results demonstrate that the proposed method using SUTFs provides better performance compared to Gabor feature with 0% FNR (False Negative Rate) and 1.46% FPR (False Positive Rate). The performance of the proposed method shows its applicability in the real manufacturing systems.

ON AN ADDITIVE FUNCTIONAL INEQUALITY IN NORMED MODULES OVER A $C^*$-ALGEBRA

  • An, Jong-Su
    • The Pure and Applied Mathematics
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    • v.15 no.4
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    • pp.393-400
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    • 2008
  • In this paper, we investigate the following additive functional inequality (0.1) ||f(x)+f(y)+f(z)+f(w)||${\leq}$||f(x+y)+f(z+w)|| in normed modules over a $C^*$-algebra. This is applied to understand homomor-phisms in $C^*$-algebra. Moreover, we prove the generalized Hyers-Ulam stability of the functional inequality (0.2) ||f(x)+f(y)+f(z)f(w)||${\leq}$||f(x+y+z+w)||+${\theta}||x||^p||y||^p||z||^p||w||^p$ in real Banach spaces, where ${\theta}$, p are positive real numbers with $4p{\neq}1$.

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CERTAIN MAXIMAL OPERATOR AND ITS WEAK TYPE $L^1$($R^n$)-ESTIMATE

  • Kim, Yong-Cheol
    • Communications of the Korean Mathematical Society
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    • v.16 no.4
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    • pp.621-626
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    • 2001
  • Let { $A_{>o}$ t= exp(M log t)} $_{t}$ be a dilation group where M is a real n$\times$n matrix whose eigenvalues has strictly positive real part, and let $\rho$be an $A_{t}$ -homogeneous distance function defined on ( $R^{n}$ ). Suppose that K is a function defined on ( $R^{n}$ ) such that /K(x)/$\leq$ (No Abstract.see full/text) for a decreasing function defined on (t) on R+ satisfying where wo(x)=│log│log (x)ll. For f$\in$ $L_{1}$ ( $R^{n}$ ), define f(x)=sup t>0 Kt*f(x)=t-v K(Al/tx) and v is the trace of M. Then we show that \ulcorner is a bounded operator of $L_{-{1}( $R^{n}$ ) into $L^1$,$\infty$( $R^{n}$).

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THE SEQUENTIAL ATTAINABILITY AND ATTAINABLE ACE

  • Kang, Buhyeon
    • Korean Journal of Mathematics
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    • v.26 no.4
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    • pp.757-775
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    • 2018
  • For any non-negative real number ${\epsilon}_0$, we shall introduce a concept of the ${\epsilon}_0$-dense subset of $R^m$. Applying this concept, for any sequence {${\epsilon}_n$} of positive real numbers, we also introduce the concept of the {${\epsilon}_n$}-attainable sequence and of the points of {${\epsilon}_n$}-attainable ace in the open subset of $R^m$. We also study the characteristics of those sequences and of the points of {${\epsilon}_n$}-dense ace. And we research the conditions that an {${\epsilon}_n$}-attainable sequence has no {${\epsilon}_n$}-attainable ace. We hope to reconsider the social consideration on the ace in social life by referring to these concepts about the aces.

Fast Extraction of Pedestrian Candidate Windows Based on BING Algorithm

  • Zeng, Jiexian;Fang, Qi;Wu, Zhe;Fu, Xiang;Leng, Lu
    • Journal of Multimedia Information System
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    • v.6 no.1
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    • pp.1-6
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    • 2019
  • In the field of industrial applications, the real-time performance of the target detection problem is very important. The most serious time consumption in the pedestrian detection process is the extraction phase of the candidate window. To accelerate the speed, in this paper, a fast extraction of pedestrian candidate window based on the BING (Binarized Normed Gradients) algorithm replaces the traditional sliding window scanning. The BING features are extracted with the positive and negative samples and input into the two-stage SVM (Support Vector Machine) classifier for training. The obtained BING template may include a pedestrian candidate window. The trained template is loaded during detection, and the extracted candidate windows are input into the classifier. The experimental results show that the proposed method can extract fewer candidate window and has a higher recall rate with more rapid speed than the traditional sliding window detection method, so the method improves the detection speed while maintaining the detection accuracy. In addition, the real-time requirement is satisfied.

SPECTRAL ANALYSIS FOR THE CLASS OF INTEGRAL OPERATORS ARISING FROM WELL-POSED BOUNDARY VALUE PROBLEMS OF FINITE BEAM DEFLECTION ON ELASTIC FOUNDATION: CHARACTERISTIC EQUATION

  • Choi, Sung Woo
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.1
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    • pp.71-111
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    • 2021
  • We consider the boundary value problem for the deflection of a finite beam on an elastic foundation subject to vertical loading. We construct a one-to-one correspondence �� from the set of equivalent well-posed two-point boundary conditions to gl(4, ℂ). Using ��, we derive eigenconditions for the integral operator ��M for each well-posed two-point boundary condition represented by M ∈ gl(4, 8, ℂ). Special features of our eigenconditions include; (1) they isolate the effect of the boundary condition M on Spec ��M, (2) they connect Spec ��M to Spec ����,α,k whose structure has been well understood. Using our eigenconditions, we show that, for each nonzero real λ ∉ Spec ����,α,k, there exists a real well-posed boundary condition M such that λ ∈ Spec ��M. This in particular shows that the integral operators ��M, arising from well-posed boundary conditions, may not be positive nor contractive in general, as opposed to ����,α,k.

ON FUNCTIONS STARLIKE WITH RESPECT TO n-PLY SYMMETRIC, CONJUGATE AND SYMMETRIC CONJUGATE POINTS

  • Malik, Somya;Ravichandran, Vaithiyanathan
    • Communications of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.1025-1039
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    • 2022
  • For given non-negative real numbers 𝛼k with ∑mk=1 𝛼k = 1 and normalized analytic functions fk, k = 1, …, m, defined on the open unit disc, let the functions F and Fn be defined by F(z) := ∑mk=1 𝛼kfk(z), and Fn(z) := n-1n-1j=0 e-2j𝜋i/nF(e2j𝜋i/nz). This paper studies the functions fk satisfying the subordination zf'k(z)/Fn(z) ≺ h(z), where the function h is a convex univalent function with positive real part. We also consider the analogues of the classes of starlike functions with respect to symmetric, conjugate, and symmetric conjugate points. Inclusion and convolution results are proved for these and related classes. Our classes generalize several well-known classes and the connections with the previous works are indicated.

MULTIPLICITY RESULTS OF CRITICAL LOCAL EQUATION RELATED TO THE GENUS THEORY

  • Mohsen Alimohammady;Asieh Rezvani;Cemil Tunc
    • Communications of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.1045-1061
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    • 2023
  • Using variational methods, Krasnoselskii's genus theory and symmetric mountain pass theorem, we introduce the existence and multiplicity of solutions of a parameteric local equation. At first, we consider the following equation $$\{-div[a(x,{\mid}{\nabla}u{\mid}){\nabla}u]\,=\,{\mu}(b(x){\mid}u{\mid}^{s(x)-2}-{\mid}u{\mid}^{r(x)-2})u\;in\;{\Omega},\\u\,=0\,on\;{\partial}{\Omega},$$ where Ω⊆ ℝN is a bounded domain, µ is a positive real parameter, p, r and s are continuous real functions on ${\bar{\Omega}}$ and a(x, ξ) is of type |ξ|p(x)-2. Next, we study boundedness and simplicity of eigenfunction for the case a(x, |∇u|)∇u = g(x)|∇u|p(x)-2∇u, where g ∈ L(Ω) and g(x) ≥ 0 and the case $a(x,\,{\mid}{\nabla}u{\mid}){{\nabla}u}\,=\,(1\,+\,{\nabla}u{\mid}^2)^{\frac{p(x)-2}{2}}{\nabla}u$ such that p(x) ≡ p.

A Study on the Relation between the Single-track Subway and Housing Price - Focused on Row and Multi-family House around Eungam Loop Line of Seoul Subway Line 6 - (단선 일방통행 방식의 지하철과 주택가격의 관계 분석 - 서울 지하철 6호선 응암순환선 구간 주변 연립다세대를 중심으로 -)

  • So, Soung-Kue;Oh, Sae-Joon;Lee, Kyu-Tai
    • Journal of Cadastre & Land InformatiX
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    • v.49 no.2
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    • pp.39-56
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    • 2019
  • In this study, we analyzed the effect of the Eungam Loop Line of Seoul Subway Line 6 on the sale price of adjacent row and multi-family houses on the accessibility and structural characteristics of subway stations. This study empirically analyzed a total of 17,938 cases from 2006 to 2017 based on data on the sale price of row and multi-family houses. In summary, the results of this study using the Hedonic Price Model are as follows. First, this study confirms that the Eungam Loop Line characteristics have a positive effect on the sale price as it is adjacent to the subway station. It is noteworthy that the sale price of 100-200m segment has a positive effect, and the sale price of Bulgwang station, which has excellent mobility and connectivity with CBD, YBD and GBD, has a positive effect. Second, this study shows the locational characteristics such as distance to bus stop, distance to mart, and distance to school have influence on the sale price. Third, this study finds the land characteristics such as land area, land shape, land facing, and road width, have significant effects on the sale price. Fourth, this study discovers the sale price is also is also affected by building and floor characteristics such as the type of housing, building area, the number of households, building age, elevator, and floor level.