• 제목/요약/키워드: NURBS Curve

검색결과 60건 처리시간 0.027초

곡면 모델링 커널 개발 (Development of a Surface Modeling Kernel)

  • 전차수;구미정;박세형
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 추계학술대회 논문집
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    • pp.774-778
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    • 1996
  • Developed in this research is a surface modeling kernel for various CAD/CAM applications. Its internal surface representations are rational parametric polynomials, which are generalizations of nonrational Bezier, Ferguson, Coons and NURBS surface, and are very fast in evaluation. The kernel is designed under the OOP concepts and coded in C++ on PCs. The present implementation of the kernel supports surface construction methods, such as point data interpolation, skinning, sweeping and blending. It also has NURBS conversion routines and offers the IGES and ZES format for geometric information exchange. It includes some geometric processing routines, such as surface/surface intersection, curve/surface intersection, curve projection and so forth. We are continuing to work with the kernel and eventually develop a B-Rep based solid modeler.

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The NURBS Human Body Modeling Using Local Knot Removal

  • Jo, Joon-Woo;Han, Sung-Soo
    • Fibers and Polymers
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    • 제6권4호
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    • pp.348-354
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    • 2005
  • These days consumers' various demands are accelerating research on apparel manufacturing system including automatic measurement, pattern generation, and clothing simulation. Accordingly, methods of reconstructing human body from point-clouds measured using a three dimensional scanning device are required for apparel CAD system to support these functions. In particular, we present in this study a human body reconstruction method focused on two issues, which are the decision of the number of control point for each sectional curve with error bound and the local knot removal for reducing the unusual concentration of control points. The approximation of sectional curves with error bounds as an approximation criterion leads all sectional curves to their own particular shapes apart from the number of control points. In addition, the application of the local knot removal to construction of human body sectional curves reduces the unusual concentration of control points effectively. The results may be used to produce an apparel CAD system as an automatic pattern generation system and a clothing simulation system through the low level control of NUBS or NURBS.

곡면을 포함하는 형상의 영상을 이용한 모델링 (Image-Based Approach for Modeling 3D Shapes with Curved Surfaces)

  • 이만희;박인규
    • 한국정보과학회논문지:시스템및이론
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    • 제34권1호
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    • pp.38-48
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    • 2007
  • 본 논문에서는 NURBS(Non-Uniform Rational B-Splines)로 표현된 3차원 곡면을 복원하기 위한 영상 기반 곡면 모델링 기법을 제안한다. 카메라 보정이 수행된 복수의 영상으로부터 사용자가 대응곡선을 지정하면 카메라의 정보를 이용하여 대응 곡선의 3차원 복원을 수행한다. 사용자 인터페이스에 의해 각 영상에서 곡선을 지정하기 위하여 본 논문에서는 NURBS 곡선을 이용하였으며 bilinear surface, ruled surface, generalized cylinder, surface of revolution등의 기본 곡면뿐 아니라 skinned surface, swept surface, boundary patch등의 고급 곡면 생성을 지원하여 다양한 모양의 곡면 물체를 모델링 할 수 있다. 또한 영상을 기반으로 view-dependent 텍스처 생성방법을 지원하여 좀더 사실적인 곡면의 복원을 수행한다. 생성된 3차원 곡선 또는 곡면은 VRML과 같은 표준 형식으로 출력하여 재사용할 수 있다.

사각형상 종동캠을 갖는 Inverse Cam Mechanism의 운동해석과 형상설계에 관한 연구 (A Study on Motion Analysis and Shape Design of Inverse Cam Mechanism with Square Shaped follower)

  • 신중호;권순만;김종찬;김봉주
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.1299-1302
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    • 2005
  • Current mechanical devices are trending toward being a small size, high speedy, automation. For performing these functions, machinery elements organizing a machine should be designed exactly. Cams have high confidence and economics in ablility to transmit a motion. Accordingly, A cam mechanism is very important for processing the machine automatically. This paper introduce an inverse cam mechanism. A square shaped cam which cannot be commonly analyzed is designed and manufactured by using the NURBS interpolation algorithm. The objective of this paper is to develop a computer-aided design program. In this paper, a displacement curve of oscillating motion inverse cam mechanism with square shaped follower is analyzed. The data is redistibuted by the NURBS algorithm. A cam shape is designed by the instant velocity center method, and simulated to verify the validity of the operation state.

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형상모델 기반 선박계산 전산프로그램 개발 (Development of a Ship Calculation Program Based On the Geometric Model)

  • 박상수;이규열
    • 대한조선학회논문집
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    • 제36권2호
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    • pp.121-134
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    • 1999
  • 본 논문에서는 유체 정역학적 계산, 용적 계산, 비손상 및 손상시 복원성 그리고, 선형 변환을 수행할 수 있는 객체 지향적 선박계산 전산프로그램을 개발하였다. 선박 계산을 위한 선형과 구획 형상을 NURBS(Non-Uniform Rational B-Spline) curve wire-frame model로 표현하고, 선형과 구획 단면 형상을 직접 3차원 평면과의 교차 계산을 통해 유체 정역학적 계산과 용적 계산을 수행하였다. 선박의 3차원 정역학적 평형 상태 방정식을 정식화하고, 순차적으로 선형화하여 힘과 모멘트 평형상태의 자세를 구하였다. 상용 선박 계산 프로그램의 결과와 비교하여, 개발 프로그램을 쉽고, 편리하게 사용할 수 있고, 계산의 정확도가 높음을 확인할 수 있었다.

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자동차 프레스 패널 성형을 위한 드로 금형의 어덴덤 곡면 모델링 (Addendum Surface Modeling in Draw Die Design for Stamping Automotive Panels)

  • 정연찬
    • 한국생산제조학회지
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    • 제22권6호
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    • pp.1018-1024
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    • 2013
  • In the process of draw die design for stamping automotive press panels, the addendum surfaces generated in metal forming simulation software cannot be used in downstream processes such as machining and making draw dies because simulation tools use simple discrete models for the surface geometry. The downstream processes require more precise and continuous geometric models such as NURBS surfaces. Generally, automotive die engineers manually regenerate the addendum surface geometry using the discrete model. This paper presents an automated geometric modeling process for generating addendum surfaces using draft surface models. The design parameters of the section curve for the addendum surfaces are extracted automatically from the draft geometry. Using the extracted design parameters, smooth addendum surfaces are generated automatically as NURBS surfaces. The generated surfaces are $G^1$ continuous with the part surface and the binder surface, and can be used in downstream processes.

윤곽 가공을 위한 삼각 스플라인을 이용한 오프셋 곡선의 생성 (Offsetting Curves Using Trigonometric Splines for Contour Cutting)

  • 고구용;윤재득;정융호
    • 한국CDE학회논문집
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    • 제15권4호
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    • pp.253-260
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    • 2010
  • This paper presents algorithms for computing offsets of freeform curves. The approach first divides the original curve into several segments at the inflexion points. Based on the obtained new control polygon and its offsets, quadratic trigonometric splines are constructed to approximate the offset curves. Finally, the shape parameter value of trigonometric spline is determined to satisfy the required tolerance. The degree of the output curve is two, independent of the original curve's degree. Because of the great controllability, the proposed method can generate a completely overestimating offset curve by adjusting the value of the shape parameter, which guarantees no overcutting in NC machining. Furthermore, it also produces the lowest number of control points compared with other works.

B-스플라인 노트백터 값 변화에 의한 곡선 형상 변화 예측 (The forecast of curve shape reforming by variation of B-spline knot vector values)

  • 김희중;정재현
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1994년도 추계학술대회 논문집
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    • pp.866-871
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    • 1994
  • B-spline curves and surfaces are effective solutions for design and modelling of the freeform models. The control methods of these are using with control points, knot vectors and weight of NURBS. Using control point is easy and resonable for representation of general models. But the movement of control points bring out the reformation of original convex hull. The B-splines with nonuniform knot vector provide good result of the shape modification without convex hull reforming. B-splines are constructed with control points and basis functions. Nonuniform knot vectors effect on the basis functions. And the blending curves describe the prorities of knot vectors. Applying of these, users will forecast of the reformed curves after modifying controllabler primitives.

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T-스플라인 유한요소해석을 이용한 트림 곡면 해석 (Trimmed surface analysis based on T-spline FEM)

  • 김현중;서유덕;윤성기
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.612-617
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    • 2008
  • In this present work, trimmed surface analysis for the 2D elasticity problem is presented. The main benefit of the proposed method is that no additional modeling for analysis of a trimmed surface is necessary. As the first attempt to deal with a trimmed surface in spline FEM, the information of the trimming curve and trimmed surface exported from CAD system is directly utilized for analysis. For this, trimmed elements are searched through employing projection scheme. For the integration of the trimmed elements, NURBSenhanced integration scheme which is used in NEFEM is adopted. The quadtree refinement of integration cell is performed for the complicated trimmed cases. The information of trimming curve is used for obtaining integration points as well as constructing stiffness matrix. The robustness and effectiveness of the proposed method are investigated by presenting various numerical examples.

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진공성형시 발생하는 ABS 시트의 두께 변화량에 관한 연구 (A Study on Thickness Variation of ABS Sheet in Vacuum Forming Process)

  • 양화준;최재원;이석희;장태식;이일엽
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 추계학술대회 논문집
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    • pp.663-666
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    • 2002
  • Originally, the thermoforming method has been developed to produce the plastic parts which have simple geometric characteristics such as door trims and wrapping materials within the short time. But the thermoformed parts have non-uniform thickness distributions over the surface according to the material characteristics, set-up angle and geometry of the parts. But, only few analysis methods have been developed so far, due to the difficulties of the selection of important factors, and contribution of each factor in the simulation. So, to guarantee the dimensional accuracy and mechanical properties of crucial points in the thermoformed parts, it is necessary to develop the thickness prediction method. This research suggests a new approaching methodology to predict the thermoformed parts by modulating the control points of the NURBS curve. The newly developed method makes it possible not only to choose the suitable thickness of polymer sheets but also to induce data modification for vacuum forming.

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