• Title/Summary/Keyword: volume-preserving

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Monotonicity Preserving Spectral Volume Method (Monotonicity Preserving Spectral Volume 기법)

  • Kim, Sung-Soo;Yoon, Sung-Hwan;Kim, Chong-Am
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.10
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    • pp.1-9
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    • 2005
  • Based on the monotonicity preserving concept, a new limiter, which is applicable to an arbitrary grid system, is developed. This new limiter preserves accuracy and monotonicity on an arbitrary grid system and it is also applicable to spectral volume concept. Numerical experiments for 1-D and 2-D flow show the characteristics of the new limiter.

Chain Recurrences on Conservative Dynamics

  • Choy, Jaeyoo;Chu, Hahng-Yun
    • Kyungpook Mathematical Journal
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    • v.54 no.2
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    • pp.165-171
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    • 2014
  • Let M be a manifold with a volume form ${\omega}$ and $f:M{\rightarrow}M$ be a diffeomorphism of class 𝒞$^1$ that preserves ${\omega}$. We prove that if M is almost bounded for the diffeomorphism f, then M is chain recurrent. Moreover, we get that Lagrange stable volume-preserving manifolds are also chain recurrent.

Privacy-Preserving Traffic Volume Estimation by Leveraging Local Differential Privacy

  • Oh, Yang-Taek;Kim, Jong Wook
    • Journal of the Korea Society of Computer and Information
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    • v.26 no.12
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    • pp.19-27
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    • 2021
  • In this paper, we present a method for effectively predicting traffic volume based on vehicle location data that are collected by using LDP (Local Differential Privacy). The proposed solution in this paper consists of two phases: the process of collecting vehicle location data in a privacy-presering manner and the process of predicting traffic volume using the collected location data. In the first phase, the vehicle's location data is collected by using LDP to prevent privacy issues that may arise during the data collection process. LDP adds random noise to the original data when collecting data to prevent the data owner's sensitive information from being exposed to the outside. This allows the collection of vehicle location data, while preserving the driver's privacy. In the second phase, the traffic volume is predicted by applying deep learning techniques to the data collected in the first stage. Experimental results with real data sets demonstrate that the method proposed in this paper can effectively predict the traffic volume using the location data that are collected in a privacy-preserving manner.

VOLUME PRESERVING DYNAMICS WITHOUT GENERICITY AND RELATED TOPICS

  • Choy, Jae-Yoo;Chu, Hahng-Yun;Kim, Min-Kyu
    • Communications of the Korean Mathematical Society
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    • v.27 no.2
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    • pp.369-375
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    • 2012
  • In this article, we focus on certain dynamic phenomena in volume-preserving manifolds. Let $M$ be a compact manifold with a volume form ${\omega}$ and $f:M{\rightarrow}M$ be a diffeomorphism of class $\mathcal{C}^1$ that preserves ${\omega}$. In this paper, we do not assume $f$ is $\mathcal{C}^1$-generic. We prove that $f$ satisfies the chain transitivity and we also show that, on $M$, the $\mathcal{C}^1$-stable shadowability is equivalent to the hyperbolicity.

The Rolling Earlobe Flap for Dilated Ear Holes Following Ear Gauging: A Novel Approach to Aesthetically Preserving Earlobe Soft Tissue Volume

  • Pek, Wan-Sze;Goh, Lin Hon Terence;Pek, Chong Han
    • Archives of Plastic Surgery
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    • v.44 no.5
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    • pp.453-456
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    • 2017
  • Patients are increasingly seeking repair of their earlobes following ear gauging. Research has shown that current repair techniques either excessively reduce the lobular volume or leave an obvious scar along the free edge of the earlobe. In our case series, we describe the use of a novel technique for repairing earlobes following ear gauging using a rolling earlobe flap that preserves the lobular volume and avoids leaving a scar on the free edge of the lobule. The procedure was performed on 3 patients (6 earlobes) who had defects from ear gauging that ranged from 3.0 to 6.5 cm. There were no postoperative complications of infection, wound dehiscence, flap necrosis, hypertrophic scars, or keloids, and all patients were highly satisfied with the postoperative results. This versatile technique allows for an aesthetically pleasing reconstruction of the lobule with the advantages of: the absence of a surgical scar on the free edge of the lobule, preserving the lobule volume, and presenting a highly customizable technique that allows lobules to be created with various shapes and volumes.

Adaptive B-spline volume representation of measured BRDF data for photorealistic rendering

  • Park, Hyungjun;Lee, Joo-Haeng
    • Journal of Computational Design and Engineering
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    • v.2 no.1
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    • pp.1-15
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    • 2015
  • Measured bidirectional reflectance distribution function (BRDF) data have been used to represent complex interaction between lights and surface materials for photorealistic rendering. However, their massive size makes it hard to adopt them in practical rendering applications. In this paper, we propose an adaptive method for B-spline volume representation of measured BRDF data. It basically performs approximate B-spline volume lofting, which decomposes the problem into three sub-problems of multiple B-spline curve fitting along u-, v-, and w-parametric directions. Especially, it makes the efficient use of knots in the multiple B-spline curve fitting and thereby accomplishes adaptive knot placement along each parametric direction of a resulting B-spline volume. The proposed method is quite useful to realize efficient data reduction while smoothing out the noises and keeping the overall features of BRDF data well. By applying the B-spline volume models of real materials for rendering, we show that the B-spline volume models are effective in preserving the features of material appearance and are suitable for representing BRDF data.

Compression of time-varying volume data using Daubechies D4 filter (Daubechies D4 필터를 사용한 시간가변(time-varying) 볼륨 데이터의 압축)

  • Hur, Young-Ju;Lee, Joong-Youn;Koo, Gee-Bum
    • 한국HCI학회:학술대회논문집
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    • 2007.02a
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    • pp.982-987
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    • 2007
  • The necessity of data compression scheme for volume data has been increased because of the increase of data capacity and the amount of network uses. Now we have various kinds of compression schemes, and we can choose one of them depending on the data types, application fields, the preferences, etc. However, the capacity of data which is produced by application scientists has been excessively increased, and the format of most scientific data is 3D volume. For 2D image or 3D moving pictures, many kinds of standards are established and widely used, but for 3D volume data, specially time-varying volume data, it is very difficult to find any applicable compression schemes. In this paper, we present a compression scheme for encoding time-varying volume data. This scheme is aimed to encoding time-varying volume data for visualization. This scheme uses MPEG's I- and P-frame concept for raising compression ratio. Also, it transforms volume data using Daubechies D4 filter before encoding, so that the image quality is better than other wavelet-based compression schemes. This encoding scheme encodes time-varying volume data composed of single precision floating-point data. In addition, this scheme provides the random reconstruction accessibility for an unit, and can be used for compressing large time-varying volume data using correlation between frames while preserving image qualities.

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Chaotic Synchronization of Using HVPM Model (HVPM 모델을 이용한 카오스 동기화)

  • 여지환;이익수
    • Journal of Korea Society of Industrial Information Systems
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    • v.6 no.4
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    • pp.75-80
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    • 2001
  • In this paper, we propose a new chaotic synchronization algorithm of using HVPM(Hyperchaotic Volume Preserving Maps) model. The proposed chaotic equation, that is, HVPM model which consists of three dimensional discrete-time simultaneous difference equations and shows uniquely random chaotic attractor using nonlinear maps and modulus function. Pecora and Carrol have recently shown that it is possible to synchronize a chaotic system by sending a signal from the drive chaotic system to the response subsystem. We proposed coupled synchronization algorithm in order to accomplish discrete time hyperchaotic HVPM signals. In the numerical results, two hyperchaotic signals are coupled and driven for accomplishing to the chaotic synchronization systems. And it is demonstrated that HVPM signals have shown the chaotic behavior and chaotic coupled synchronization.

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A Study of Neutronics Effects of the Spacer Grids in a Typical PWR via Monte Carlo Calculation

  • Tran, Xuan Bach;Cho, Nam Zin
    • Nuclear Engineering and Technology
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    • v.48 no.1
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    • pp.33-42
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    • 2016
  • Spacer grids play an important role in maintaining the proper form of the fuel assembly structure and ensuring the safety of reactor core design. This study applies the Monte Carlo method to the analysis of the neutronics effects of spacer grids in a typical pressurized water reactor (PWR). The core problem used to analyze the neutronics effects of spacer grids is a modified version of Korea Advanced Institute of Science and Technology benchmark problem 1B, based on an Advanced Power Reactor 1400 (APR1400) core model. The spacer grids are modeled and added to this test problem in various ways. Then, by running MCNP5 for all cases of spacer grid modeling, some important numerical results, such as the effective multiplication factor, the spatial distributions of neutron flux, and its energy spectrum are obtained. The numerical results of each case of spacer grid modeling are analyzed and compared to assess which type has more advantages in accuracy of numerical results and effectiveness in terms of geometry building. The conclusion is that the most realistic modeling for Monte Carlo calculation is the "volume-preserving" streamlined heterogeneous spacer grids, but the "banded" dissolution spacer grids modeling is a more practical yet accurate model for routine (deterministic) analysis.