• Title/Summary/Keyword: 이동곡면

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Intersection between a Surface of Extrusion and a Free-Form Surface (평행이동곡면과 자유곡면 사이의 교차곡선 계산)

  • Kim, Ku-Jin;Kim, Myung-Soo
    • Journal of the Korea Computer Graphics Society
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    • v.6 no.4
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    • pp.29-34
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    • 2000
  • This paper classifies the structure of the intersection curve between a surface of extrusion and a free-form surface. Our algorithm computes the silhouette curve of the free-form surface with respect to the unique ruling direction of the surface of extrusion. By intersecting the silhouette curve and the base curve of the surface of extrusion, we can classify the topological structure of the intersection curve, and compute all singularities in the intersection curve. Moreover, we can determine which ruling lines of the surface of extrusion intersect the other free-form surface and how many times. This classification provides a robust and efficient method for computing the intersection curve.

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Representation of Sweep Surface in Bicubic Spline surface Form (쌍3차 스플라인곡면 식에 의한 이동곡면의 표현)

  • 전차수;조형래;박세형
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.4
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    • pp.1005-1012
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    • 1995
  • This paper proposes a new approach for modeling sweep surfaces. The overall modeling procedure consists of following steps : (1)remeshing the section curves based on the curve lengths ; (2)remeshing the guide curve and the boundary curves based on a given sweeping rule ; (3)obtaining intermediate section curves at the remeshed points of the guide curve by blending the initial section curves ; (4)compensation of the intermediate section curves ; (5)interpolating the initial and intermediate curves using Hermite interpolant. The resulting sweep surface is expressed in a G$^{2}$ bicubic parametric spline surface.

Reconstruction of Canal Surfaces (캐널곡면의 복원)

  • Lee In-Kwon;Kim Ku-Jin
    • Journal of KIISE:Computer Systems and Theory
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    • v.32 no.8
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    • pp.411-417
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    • 2005
  • We present a method to reconstruct a canal surface from a point cloud (a set of unorganized points). A canal surface is defined as a swept surface of a moving sphere with varying radii. By using the shrinking and moving least-squares methods, we reduce a point cloud to a thin curve-like point set which can be approximated to the spine curve of a canal surface. The distance between a point in the thin point cloud and a corresponding point in the original point set represents the radius of the canal surface.

The Matching of Free-Form surface using Motion-based RMC (이동 기반의 RMC을 이용한 자유형태 곡면 매칭방법)

  • Park, Chul-Ho
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.11
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    • pp.3544-3555
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    • 2000
  • 매칭방법은 기하 및 입체 모델링에서 재단 곡면과 이들에 대한 부울 연산에 사용되는 기초적인 연산이다. 그러나 매칭연산은 부드러움을 정확하게 표현하는데 고 차수의 미분계수 제약조건으로 인하여 많은 계산량이 필요할 뿐만 아니라 곡면상의 여러 점을 동시에 선택하여 이동하였을 때, 곡면표현에 사용되는 복잡한 함수식으로 인하여 일반해를 구하기 어려운 단점을 가진다. 본 논문은 분수식에 의하여 RMC(Rotation-Minimizing Curve)을 정의하고 이를 이용하여 자유 형태 곡면간에 변형 매칭 방법을 제안한다. RMC는 매칭곡선과 곡면의 접선벡터, 회전벡터, 곡률의 변화율과 같은 기하학적 기법을 기반으로 한다. 제안한 방법은 입력으로 주어지는 곡면의 기하학적 복잡도와는 무관하게 매칭을 수행할 수 있으며 수행 성능은 계산된 매칭 곡선의 복잡도에 의해서만 좌우된다. 또한 곡선 표현에 사용된 값들을 정의된 매칭 곡선식에 그대로 적용할 수 있었으므로 최적화 응용 문제에 효율적으로 적용할 수 있다.

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The Parametrization and Structure Analysis for a Perspective Silhouette of a Canal Surface (Canal 곡면의 투시 윤곽곡선의 매개변수화 및 구조 분석)

  • Kim, Ku-Jin;Lee, In-Kwon
    • Journal of the Korea Computer Graphics Society
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    • v.7 no.3
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    • pp.1-7
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    • 2001
  • We present an efficient and robust algorithm to parametrize a perspective silhouette curve of a canal surface. We also detect each connected component of the silhouette. A canal surface is an envelope surface of a moving sphere with varying radii, which is defined by the center trajectory C(t) and radius function r(t) of the moving sphere. A canal surface can be decomposed to a set of characteristic circles. We derive the equations for the silhouette points on each characteristic circle, then parameterize the silhouette curve by using the equation. The sphere $S(t_*)$ with center point $C(t_*)$ and radius $r(t_*)$ intersects with the canal surface at a characteristic circle $K(t_*)$. The perspective silhouette of the sphere $S(t_*)$ from given view point consists of a circle $Q(t_*)$. By finding the values of t at which K(t) and Q(t) tangentially intersect, we detect each connected component of the silhouette curve.

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Feature Extraction in 3-Dimensional Object with Closed-surface using Fourier Transform (Fourier Transform을 이용한 3차원 폐곡면 객체의 특징 벡터 추출)

  • 이준복;김문화;장동식
    • Journal of the Institute of Convergence Signal Processing
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    • v.4 no.3
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    • pp.21-26
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    • 2003
  • A new method to realize 3-dimensional object pattern recognition system using Fourier-based feature extractor has been proposed. The procedure to obtain the invariant feature vector is as follows ; A closed surface is generated by tracing the surface of object using the 3-dimensional polar coordinate. The centroidal distances between object's geometrical center and each closed surface points are calculated. The distance vector is translation invariant. The distance vector is normalized, so the result is scale invariant. The Fourier spectrum of each normalized distance vector is calculated, and the spectrum is rotation invariant. The Fourier-based feature generating from above procedure completely eliminates the effect of variations in translation, scale, and rotation of 3-dimensional object with closed-surface. The experimental results show that the proposed method has a high accuracy.

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Generation of Lens surface by moving mask lithography (가변 속도 이동식 마스크를 이용한 렌즈 곡면 형성)

  • Lee Joon-Sub;Park Woo-Jae;Song Seok-Ho;Oh Cha-Hwan;Kim Pill-Soo
    • Korean Journal of Optics and Photonics
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    • v.16 no.6
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    • pp.508-515
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    • 2005
  • We propose a fabrication method for refractive lens by variable velocity moving mask lithography and slit pattern. Distribution of exposure dose should be controlled for the curved photoresist surface that works as a refractive surface. We analyze theoretically the distribution of exposure dose by change of moving velocity, moving direction of mask and the shape of mask pattern, and confirm for the curved surface experimentally. The lens could have sag height of a few of hundreds ${\mu}m$, by using thick photoresist or Deep RIE process.

Hourly Rainfall Surface Prediction with Meteorological Radar Data (기상레이더 자료를 이용한 시우량곡면 예측)

  • 정재성;이재형
    • Water for future
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    • v.29 no.3
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    • pp.187-195
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    • 1996
  • In this study, a methodology for the hourly prediction of rainfall surfaces was applied to the Pyungchang river basin at the upstream of South Han river with meteorological radar and ground rainfall data. The methods for the exclusion of abnormal echoes, and suppression of ground clutter, and the augmentation of attenuation effects associated with rainfall phenomena were reviewed, and the relationship between radar reflectivity (Z) and rainfall rate (R) was analyzed. The transformation of augmented radar reflectivities into the rdar rainfall surfaces was carried out, and afterward they were synthesized with the ground rainfall data generating the hourly rainfall surfaces. For the prediction of hourly rainfall surface, the moving factors of rainfall field estimated by the cross correlation coefficient method and the temporal variation of radar rainfall intensities were considered. The synthesized hourly rainfall surfaces were used to predict the hourly rainfall surfaces up to 3 hours in advance and subsequently the results were compared with the measured and the synthesized. It seems that the prediction method need to be verified with more data and be complemented further to consider the physical characteristics of rainfall field and the topography of the basin.

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A Study on Shifted Multi-Z-Buffers Anti-Aliasing for 3D Implicit Surface Rendering (3차원 임플리시트 곡면 렌더링을 위한 시프트(shifted) 멀티 Z-버퍼 앤티 앨리어싱 연구)

  • Park Hwa Jin;Kim Hak Ran
    • Journal of Korea Multimedia Society
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    • v.8 no.2
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    • pp.249-257
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    • 2005
  • This paper aims at reducing aliasing in pixel-based rendering for 3D implicit surfaces by shifted multi Z-buffers. The voxelized implicit surfaces with high resolution take so much time in generating high Quality image without aliasing. So in rendering a voxelized implicit surfaces, a new antialiasing method which can generate a high quality image at a lower resolution is required. Therefore, this paper suggests that a method which get various sampling values by shifting several z-buffers in each voxel and average them, The advantages are effective memory, simple calculation and easy convergence with various filters. But, the increase of number of z-buffer also increase the consuming time rapidly. Therefore, the research for representing the relation the degree of image quality with the consumption of time as a number is required.

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Modeling of Free Surface in Spillways (여수로에서 자유수면 모의)

  • Lee, Hae-Gyun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.228-232
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    • 2010
  • 두 가지 어류 이동용 여수로 설계안에 대하여 유한요소법 기반의 레블�V 기법을 이용하여 흐름을 모의하고 적용성을 검토하였다. 첫 번째 설계안은 저수지에서 여수로로 직각 형태의 유입부를 가지고 있으며, 두 번째 설계안은 부드러운 곡면 형태의 유입부를 가지고 있다. 수치해석 결과를 자유수면의 위치, 압력분포 등의 특성을 중심으로 여수로 수리모형 실험 결과와 비교하였다. 그 결과, 직각 형태의 유입부를 갖는 설계안의 경우, 유입부의 응력분포의 영향으로, 평탄하지 않은 자유수면형과 압력분포를 보이는 것을 관찰할 수 있었다. 반면에 곡선형태의 유입부를 갖는 여수로의 경우에는 수면형과 압력분포에서 완만한 변화를 보이는 것이 관측되었다. 여수로 정상부에서 대기압보다 작은 부압의 분포는 두 가지 설계안 모두 비슷한 분포를 보였다. 여수로의 출구부에서는 측면부에서는 와류의 영향으로 인하여 수면의 상승을 관찰할 수 있었다. 결론으로서 곡면 유입부 형태의 여수로가 완만한 천이역을 갖고 있으며, 어류이동측면에서 유리함을 확인할 수 있었다.

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