• International Journal of Internet, Broadcasting and Communication
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• 제11권1호
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• pp.54-59
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• 2019

The parametrization of the surface plays an important role in the 3D computer graphics and computer vision. Especially, it is essential in 3D mesh editing that manipulates the position of 3D objects on a computer monitor. Because computer monitors are two-dimensional, while vertices of objects that actually want to change are in a three-dimensional virtual space. In this study, we propose a new type of parametrization method that takes advantage of the special properties of circles that are common to local parameterization. Experimental results show that our parameterization method is more efficient in terms of time and space than the standard parameterization method that was designed by Floater et al.

• 대기
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• 제18권2호
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• pp.121-136
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• 2008

We investigate effects of vertical resolution on a parameterization of convective gravity waves (SGWDC) developed in Song and Chun (2005) through offline and online tests of the SGWDC parameterization. For offline tests, numerical simulations of the SGWDC parameterization with different number of vertical levels (L66, L117, L168, L219 and L270) from the surface to 120 km are performed for two different saturation methods. It is found that the wave momentum forcing is overestimated or underestimated in the SGWDC parameterization with different vertical resolutions, depending on the saturation methods. The increase of the vertical resolution modifies the magnitude and distribution of the wave momentum forcing in the parameterization, and this is mainly due to modification of wave saturation levels in the wave saturation processes. However the wave momentum forcing converges in the parameterizations with vertical resolutions higher than L168. For online test, the SGWDC parameterizations with vertical resolutions of L66 and L164 are implemented into a climate model with vertical resolution of L66, separately. In the L164 experiment, the wave momentum forcing decreases in the mid-latitude winter mesosphere in July and zonal mean flows are more realistically reproduced in the tropical regions compared with those in the L66 experiment. These results demonstrate that the wave momentum forcing calculated in the parameterization is sensitive to the vertical resolution, and the implementation of the SGWDC parameterization into high resolution models is required for realistic representation of the gravity wave momentum forcing in large-scale numerical models.

• 한국정보과학회논문지:시스템및이론
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• 제34권12호
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• pp.641-655
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• 2007

컴퓨터 그래픽스를 비롯한 여러 응용 분야에서 3차원 다면체 모델에 대한 매개 변수화(parameterization) 기법이 중요하게 연구되어왔다. 매개 변수화에 대한 연구는 주로 3차원 다면체 모델을 2차원 평면으로 매핑 시켜주는 문제를 고려하는데, 이러한 매핑 과정에서 종종 다각형의 세밀한 형태를 제대로 표현하지 못하거나, 텍스처 매핑 등의 기법을 적용할 때 일부 왜곡이 발생하는 문제가 발생하고는 한다. 이러한 문제점을 해결하기 위해서 여러 가지 왜곡 처리 방법이 연구되었지만, 3차원 물체의 임의 영역에 대한 사각형 형태의 부분 매개 변수화(local parameterization)를 수행하기에는 종종 한계점을 가지고 있었다. 본 논문에서는 투영 등위 집합이라고 하는 수학적 도구를 사용하여 3차원 다면체 모델의 특정 지역을 효과적으로 매개 변수화 해주는 기법을 제안한다. 이 방법에서는 사용자가 지정한 임의의 영역에 대해 등간격의 곡선을 생성한 후, 이를 이용하여 사각형 형태의 영역에 대한 부분 매개 변수화 정보를 추출하는 방식을 취한다. 본 논문에서는 새로운 부분 매개 변수화 기법에 대하여 자세히 설명한 후 실험 결과를 기술하도록 한다.

• 한국콘텐츠학회논문지
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• 제10권4호
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• pp.106-114
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• 2010

메쉬 파라메터화는 입력으로 들어온 메쉬와 파라메터 영역 사이의 부드러운 일대일 대응함수를 구하는 것으로, 삼차원 스캐너를 통해 획득한 디지털 형상을 여러 가지 응용문제에 활용하기 위해 필요한 디지털 형상 처리의 핵심기반기술이다. 본 논문에서는 구형 위상구조를 가지는 삼차원 물체에 대해, 표면뿐만 아니라 내부를 포함한 물체 전체를 단일 입방정육면체로 하모닉 매핑하는 새로운 삼차원 볼륨파라메터화 방법을 제안한다. 제안하는 방법은 입력으로 들어온 볼륨메쉬의 표면을 정육면체와 동일한 위상구조를 가지는 여섯 개의 영역으로 나누고, 이를 이용하여 볼륨 파라메터화의 경계조건을 계산한다. 이후 경계조건을 만족하며 볼륨 내부의 하모닉 에너지를 최소화하는 하모닉 매핑을 계산하여 물체 내부까지 왜곡이 적은 삼차원 파라메터화 결과를 얻어낸다. 실험결과를 통해, 본 논문에서 제안하는 방법을 통해 다양한 구형 삼차원 모델에 대해 삼차원 볼륨파라메터화 결과를 효과적으로 얻을 수 있음을 확인하였다.

• International Journal of CAD/CAM
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• 제6권1호
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• pp.59-64
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• 2006

A new method to obtain explicit re-parameterization that preserves the curve degree and parametric domain is presented in this paper. The re-parameterization brings a curve very close to the arc length parameterization under $L_2$ norm but with less segmentation. The re-parameterization functions we used are $C^1$ continuous piecewise rational linear functions, which provide more flexibility and can be easily identified by solving a quadratic equation. Based on the outstanding performance of Mobius transformation on modifying pieces with monotonic parametric speed, we first create a partition of the original curve, in which the parametric speed of each segment is of monotonic variation. The values of new parameters corresponding to the subdivision points are specified a priori as the ratio of its cumulative arc length and its total arc length. $C^1$ continuity conditions are imposed to each segment, thus, with respect to the new parameters, the objective function is linear and admits a closed-form optimization. Illustrative examples are also given to assess the performance of our new method.

• Nuclear Engineering and Technology
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• 제49권4호
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• pp.692-699
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• 2017

The determination of the shape and rising velocity of gas bubbles in a liquid pool is of great importance in analyzing the radioactive aerosol emissions from nuclear power plant accidents in terms of the fission product release rate and the pool scrubbing efficiency of radioactive aerosols. This article suggests a simple parameterization for the gas bubble rising velocity as a function of the volume-equivalent bubble diameter; this parameterization does not require prior knowledge of bubble shape. This is more convenient than previously suggested parameterizations because it is given as a single explicit formula. It is also shown that a bubble shape diagram, which is very similar to the Grace's diagram, can be easily generated using the parameterization suggested in this article. Furthermore, the boundaries among the three bubble shape regimes in the $E_o-R_e$ plane and the condition for the bypass of the spheroidal regime can be delineated directly from the parameterization formula. Therefore, the parameterization suggested in this article appears to be useful not only in easily determining the bubble rising velocity (e.g., in postulated severe accident analysis codes) but also in understanding the trend of bubble shape change due to bubble growth.

• 대기
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• 제23권1호
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• pp.39-45
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• 2013

A parameterization for the scattering of longwave radiation by ice clouds has been developed based on spectral scattering property calculations with shapes and sizes of ice crystals. For this parameterization, the size distribution data by Fu (1996) and by Michell and Arnott (1994) are used. The shapes of ice crystal considered in this study are plate, solid column, hollow column, bullet-rosette, droxtal, aggregate, and spheroid. The properties of longwave scattering by ice crystals are presented as a function of the extinction coefficient, single-scattering albedo, and asymmetry factor. The heating rate and flux by the radiative parameterization model are calculated for wide range of ice crystal sizes, shapes, and optical thickness. The results are compared with the calculated results using a six-stream discrete ordinate scattering algorithm and Chou's method. The new method (with various habits and size distributions) provides a good simulation of the scattering properties and cooling rate in optically thin clouds (optical thickness < 5). Depending on the inclusion of scattering by ice clouds, the errors in the calculation of the cooling rates are significantly different.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제25권4호
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• pp.196-220
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• 2021

This study formulates a new geometric parameterization scheme to effectively address numerical analysis subject to the variation of the fiber radius of a square unit cell. In particular, the proposed mesh-morphing approach may lead to a parameterized weak form whose bilinear and linear forms are affine in the geometric parameter of interest, i.e. the fiber radius. As a result, we may certify the reduced basis analysis of a square unit cell model for any parameters in a predetermined parameter domain with a rigorous a posteriori error bound. To demonstrate the utility of the proposed geometric parameterization, we consider a two-dimensional, steady-state heat conduction analysis dependent on two parameters: a fiber radius and a thermal conductivity. For rapid yet rigorous a posteriori error evaluation, we estimate a lower bound of a coercivity constant via the min-θ method as well as the successive constraint method. Compared to the corresponding finite element analysis, the constructed reduced basis analysis may yield nearly the same solution at a computational speed about 29 times faster on average. In conclusion, the proposed geometric parameterization scheme is conducive for accurate yet efficient reduced basis analysis.

• 한국농림기상학회:학술대회논문집
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• 한국농림기상학회 2003년도 춘계 학술발표논문집
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• pp.58-61
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• 2003

A land surface parameterization has been used to simulate influences of the terrestrial surface on the atmosphere. A simple biosphere model (SiB2), one of land surface parameterization, calculates exchange of radiation, sensible heat, latent heat, and momentum between the surface and the atmosphere (Sellers, et al., 1996).(omitted)

• 한국해양공학회지
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• 제16권2호
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• pp.10-20
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• 2002

본 논문에서는 바다의 자유표면에서 생성되는 항력에 대한 물리적 특성에 대한 연구가 기술되었다. 2차원 파장(Wave Field) 매개변수해석기법(Parametric Analyzing Technique)을 근거로 한 파경계층(Wave Boundary Layer : WBL)의 1차원 모델로서 항력계산과 파경계층의 특성을 추정하였으며 이론의 간략화(Simplifying)에 대한 연구에 주력하였다.