• Title/Summary/Keyword: Smooth Fitting

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Implementation of a 3D Mesh Editor for Smooth Surface Fitting (부드러운 곡면 근사를 위한 3차원 메쉬 편집기의 구현)

  • 신복숙;우영운
    • Proceedings of the Korea Multimedia Society Conference
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    • 2001.06a
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    • pp.425-428
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    • 2001
  • 본 논문에서 구현한 메쉬 편집기는 편집할 메쉬의 몇몇 점을 편집할 경우, 편집 정보가 그 점에 이웃한 점들에게도 영향을 미치게 되어, 편집 결과가 근사된 부드러운 곡면으로 표현하도록 하는 데 있다. 그러기 위해서는 3차원의 메쉬를 2차원 평면으로 매핑할 때, 매핑되는 원래의 메쉬의 모양이 크게 변형되지 않도록 하여야 하는데, 여기에 모양 유지 매개 변수화 방법을 사용하고 있다. 편집에 사용된 점의 편집 정보는 2차원 평면 다각형 안에 있는 서로 대응되는 점으로 매핑 되고, B-스플라인 보간으로 편집 정보는 2차 평면 안에 있는 다른 점들에게도 영향을 주게 된다. 이런 결과는 3차원 메쉬로 환원되어 부드럽게 근사된 곡면으로 표현된다.

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Generation of Discrete $G^1$ Continuous B-spline Ship Hullform Surfaces from Curve Network Using Virtual Iso-parametric Curves

  • Rhim, Joong-Hyun;Cho, Doo-Yeoun;Lee, Kyu-Yeul;Kim, Tae-Wan
    • Journal of Ship and Ocean Technology
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    • v.10 no.2
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    • pp.24-36
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    • 2006
  • Ship hullform is usually designed with a curve network, and smooth hullform surfaces are supposed to be generated by filling in (or interpolating) the curve network with appropriate surface patches. Tensor-product surfaces such as B-spline and $B\'{e}zier$ patches are typical representations to this interpolating problem. However, they have difficulties in representing the surfaces of irregular topological type which are frequently appeared in the fore- and after-body of ship hullform curve network. In this paper, we proposed a method that can automatically generate discrete $G^1$ continuous B-spline surfaces interpolating given curve network of ship hullform. This method consists of three steps. In the first step, given curve network is reorganized to be of two types: boundary curves and reference curves of surface patches. Especially, the boundary curves are specified for their surface patches to be rectangular or triangular topological type that can be represented with tensor-product (or degenerate) B-spline surface patches. In the second step, surface fitting points and cross boundary derivatives are estimated by constructing virtual iso-parametric curves at discrete parameters. In the last step, discrete $G^1$ continuous B-spline surfaces are generated by surface fitting algorithm. Finally, several examples of resulting smooth hullform surfaces generated from the curve network data of actual ship hullform are included to demonstrate the quality of the proposed method.

Application of the Polar Parabolic Equation Method for Sound Propagation over a Smooth Sea Mountain in the Ocean (해저구릉 위로의 음의 전파를 설명하기 위한 Polar PE의 적용)

  • You, Chul-Soo;Yoon, Suk-Wang
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.2E
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    • pp.37-42
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    • 1995
  • The polar parabolic equation method (Polar PE) which introduces a series of "cascaded" boundary fitting coordinates into the parabolic equation method has been verified as a good numerical method for atmospheric sound propagation over a curved surface and hills. Polar PE is applied here to underwater sound propagation over a sea mountain assuming locally reacting boundary sea bottom and pressure release water surface for the boundary conditions. Calculations are presented for underwater propagation over a 450 m high sea mountain. Feasibility of Polar PE application for underwater sound propagation over a smooth mountain is discussed.

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Evaluation of Ductile Fracture Characteristics Based on Local Approach (국부접근법에 입각한 연성재료의 파괴특성 평가)

  • Lee, Tae-Rin;Chang, Yoon-Suk;Choi, Jae-Boong;Kim, Young-Jin
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.49-54
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    • 2004
  • Several cell models, so-called local approach, have been proposed as engineering approaches to numerically simulate ductile fracture characteristics. In this paper, two- and three-dimensional finite element analyses incorporating both modified GTN and Rousselier models were carried out. Smooth and notched bars and CT25 specimens were assessed for StE460 and DIN22NiMoCr37 materials which were quoted from previous researches. Micro-mechanical parameters used in the assessment were established by fitting the numerical results with the experiments, and J-R curves derived from the simulations were found to be in good agreement with the corresponding experimental results.

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An Integrated System for Computer-Aided Design and Manufacturing of Sculptured Surface (자유곡면 가공을 위한 CAD/CAM 시스템)

  • Kim, K.S.;Choi, Y.H.
    • Journal of Korean Institute of Industrial Engineers
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    • v.17 no.1
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    • pp.37-49
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    • 1991
  • This report describes an integrated approach to sculptured surface design and manufacture, and a software package for it on a multi-axis NC milling machine. The integrated software consists of four parts : (1) surface fitting procedure for generating the characteristic polyhedron from 3 dimensional CMM data, (2) surface description for generating the mathematical representation of sculptured surfaces. (3) tool path generation for approximating the surface representation into a sequence of linear cutter paths, and (4) tool control for generating the corresponding joint variable values. This integrated approach is generally applicable to sculptured surface manufacturing where multi-axis milling machines are necessary to produce smooth three-dimensional surfaces.

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Surface Fairing with Boundary Continuity Based on the Wavelet Transform

  • Cho, Joo-Hyung;Kim, Tae-Wan;Lee, Kun-Woo
    • ETRI Journal
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    • v.23 no.2
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    • pp.85-95
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    • 2001
  • The surface modeling capability of CAD systems is widely used to design products bounded by free form surfaces and curves. However, the surfaces or curves generated by popular data fitting methods usually have shape imperfections such as wiggles. Thus, fairing operations are required to remove the wiggles, which makes the surfaces or curves smooth. This paper proposes a new method based on the wavelet transform for fairing the surfaces or curves while preserving the continuity with adjacent surfaces or curves. The wavelet transform gives a hierarchical perspective of the surfaces and the curves, which can be decomposed into the overall sweep and details, i.e., local deviations from sweep like the wiggles. The proposed fairing method provides a similar effect on the mathematical surface as that of the grinding operation using sandpaper on the physical surface.

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AN ANALYTICAL DC MODEL FOR HEMTS (헴트 소자의 해석적 직류 모델)

  • Kim, Yeong-Min
    • ETRI Journal
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    • v.11 no.2
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    • pp.109-119
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    • 1989
  • Based on the 2-dimensional charge-control simulation[4], a purely analytical model for MODFET's is proposed. In this model, proper treatment of the diffusion effect in the 2-DEG transport due to the gradual channel opening along the 2-DEG channel was made to explain the enhanced mobility and increased thershold voltage. The channel thickness and gate capacitance are experssed as functions of gate vlotage including subthreshold characteristics of the MODFET's analytically. By introducing the finite channel opening and an effective channel-length modulation, the slope of the saturation region of the I-V curves was modeled. The smooth transition of the I-V curves from linear-to-saturation region of the I-V curves was possible using the continuous Troffimenkoff-type of field-dependent mobility. Furthermore, a correction factor f was introduced to account for the finite transtition section forming between the GCA and the saturated section. This factor removes the large discrepanicies in the saturation region fo the I-V curves presicted by existing 1-dimensional models. The fitting parameters chosen in our model were found to be predictable and vary over relatively small range of values.

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DETECTION AND COUNTING OF FLOWERS BASED ON DIGITAL IMAGES USING COMPUTER VISION AND A CONCAVE POINT DETECTION TECHNIQUE

  • PAN ZHAO;BYEONG-CHUN SHIN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.27 no.1
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    • pp.37-55
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    • 2023
  • In this paper we propose a new algorithm for detecting and counting flowers in a complex background based on digital images. The algorithm mainly includes the following parts: edge contour extraction of flowers, edge contour determination of overlapped flowers and flower counting. We use a contour detection technique in Computer Vision (CV) to extract the edge contours of flowers and propose an improved algorithm with a concave point detection technique to find accurate segmentation for overlapped flowers. In this process, we first use the polygon approximation to smooth edge contours and then adopt the second-order central moments to fit ellipse contours to determine whether edge contours overlap. To obtain accurate segmentation points, we calculate the curvature of each pixel point on the edge contours with an improved Curvature Scale Space (CSS) corner detector. Finally, we successively give three adaptive judgment criteria to detect and count flowers accurately and automatically. Both experimental results and the proposed evaluation indicators reveal that the proposed algorithm is more efficient for flower counting.

Curve Reconstruction from Oriented Points Using Hierarchical ZP-Splines (계층적 ZP-스플라인을 이용한 곡선 복구 기법)

  • Kim, Hyunjun;Kim, Minho
    • Journal of the Korea Computer Graphics Society
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    • v.22 no.5
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    • pp.1-16
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    • 2016
  • In this paper, we propose and efficient curve reconstruction method based on the classical least-square fitting scheme. Specifically, given planar sample points equipped with normals, we reconstruct the objective curve as the zero set of a hierarchical implicit ZP(Zwart-Powell)-spline that can recover large holes of dataset without loosing the fine details. As regularizers, we adopted two: a Tikhonov regularizer to reduce the singularity of the linear system and a discrete Laplacian operator to smooth out the isocurves. Benchmark tests with quantitative measurements are done and our method shows much better quality than polynomial methods. Compared with the hierarchical bi-quadratic spline for datasets with holes, our method results in compatible quality but with less than 90% computational overhead.

A Study on Minimal Expression Techniques Depicted in Modern Fashion Design (현대패션에 나타난 최소표현기법에 관한 연구)

  • 김은덕;김민자
    • Journal of the Korean Society of Costume
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    • v.24
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    • pp.157-176
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    • 1995
  • The purpose of this treatise is to study external form and internal meaning of minimal expression fashion which appeared as a major stream in modern fashion trends to understand one aspect of modernism in fashion and also to gain insight into internal value of human beings through fashion. The results can be summarized as follows : Firstly , minimalism is a trend in art attempting to seek essence of the object by presenting simple and disciplined expressions by minimal formative means and minimal production process. Secondly, minimal expression in fashion means seeking simplicity an dpurity by using minimum design elements and minimal productive process. Thirdly, external from of minimal expression fashion can be created through application of following minimal expression techniques. 1. Minimal expression techniques in terms of line mean smooth curve flowing along body contours, straight lines of diagonal lines into desciplined silhouette or rendering internal contour lines. 2. Minimum expression techniques in terms of forms mean forms of smooth curves flowing along boyd or forms with simple geometric forms from qualitative aspects, In terms of volume it means quest for essence of pure body itself by revealing body as it is by minimizing the size of dress or its area and herein is contained using simple geometric pattern or utilizing textiles without any patterns.3. Minimal expression techniques by colors mean simple colors such as primary colors, colors without clear distinctions or natural colors and in terms of quantity it means quest for one color within one item of dress or combination of each items when getting dressed. 4. Minimal expression techniques in terms of fabrics mean fabrics with simple surfaced. In terms of quantity it means quest for essence of tight fitting thin textiles to human body or using transparent materials to human body thus exposing body contours as it is. 5. Minimal expression techniques in terms of productive process mean minimizing process of tailoring , sewing or ornamenting and seeking for simplicity and purity. 6. Minimal expression techniques in terms of manufacturing process mean selection of technique conveying simple image with disciplined simple image. Fourthly, minimal expression fashion with external expression as mentioned in the above lay body-priority style and its internal meaning can be asummed as quest for essence and purity of human body.

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