• Title/Summary/Keyword: Nurbs surface

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Tool Path Generation of Multi-Patch Sculptured Surface with Reparameterization (여러 개의 패치로 이루어진 곡면에서 재매개변수화를 통한 공구경로 생성)

  • 이성근
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.04a
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    • pp.647-652
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    • 2000
  • Recently, according to the various taste of consumers, the design of a product is changed variously and complicatedly. The complicated product is not usually constructed with one patch but multi-patch. By the way, in machining, higher precision and the reduction of leading and machining time is required. But for the multi-patch sculptured surface, the amount of machining data becomes large. This means the increase of leading and machining time. In this study, the tool path generation method with reparameterization is proposed for multi-patch sculptured surface and variable step size using NURBS is used to satisfy the precision and to reduce leading and machining time.

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Efficient Algorithm for the Real-time Generation of Reflection Lines (자동차 스타일링을 위한 반사선의 실시간 생성 및 표현 알고리듬)

  • Gang, Ju-Yeop;Lee, Geon-U
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.1 s.173
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    • pp.173-181
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    • 2000
  • Depending upon the method of the surface generation and the quality of the boundary curves provided, the resulting surfaces may have global or local irregularities in many cases. Thus it would be necessary for the designer to evaluate the surface quality and to modify the surface. This capability is very important because the defect of the surface requires the rework of the dies that causes a big loss in cost and delivery time. To simulate the reflection line test in the actual production line, a faster generation algorithm is presented. Among., various surface interrogation methods using reflection lines, Blinn-Newell type of reflection mapping is applied to generate reflection lines on the trimmed NURBS surface. The generation of reflection lines is formulated as a surface-plane intersection problem, and solved by surface-contouring techniques. In addition, a modified reflection map is proposed to eliminate the discontinuity of reflection lines due to the configuration of the reflection map. A fast reflection line algorithm is developed utilizing an efficient traced contouring technique, and proved to be well suited for real-time quality-assessment task.

Efficient Algorithm for Real-time Generation of Reflection Lines

  • Kim, Tae-wan;Juyup Kang;Lee, Kunwoo;Park, Sangkun
    • Journal of Mechanical Science and Technology
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    • v.15 no.2
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    • pp.160-171
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    • 2001
  • Depending upon the method of the surface generation and the quality of the designed boundary curves, the resulting surfaces may have global or local irregularities in many cases. Thus, it would be necessary for the designer to evaluate the surface quality and to modify the surface. This is very important because the defect of the surface causes the rework of the dies, increasing cost and delivery time significantly. To simulate the reflection line test in the actual production line, a faster algorithm for generating reflection lines is presented. In this paper, among various surface interrogation methods using reflection lines, Blinn-Newell type of reflection mapping is applied to generate the reflection lines on the trimmed NURBS surfaces. The derivation of reflection lines is formulated as a surface-plane intersection problem (Jung 1994) and is solved by surface-contouring techniques. Also, for eliminating the discontinuity of reflection lines due to the configuration of reflection map, a modified reflection map is proposed. An efficient traced contouring technique is utilized for the computational efficiency and proves to be well suited for the real-time quality-assessment task.

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Paneling of Curved NURBS Surface through Marching Geodesic - Application on Compound Surface - (일방향 지오데식을 활용한 곡면 형상의 패널링 - 복합 곡면을 중심으로 -)

  • Hong, Ji-Hak;Sung, Woo-Jae
    • Journal of KIBIM
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    • v.11 no.4
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    • pp.42-52
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    • 2021
  • Paneling building facades is one of the essential procedures in building construction. Traditionally, it has been an easy task of simply projecting paneling patterns drawn in drawing boards onto 3d building facades. However, as many organic or curved building shapes are designed and constructed in modern architectural practices, the traditional one-to-one projection is becoming obsolete for the building types of the kind. That is primarily because of the geometrical discrepancies between 2d drawing boards and 3d curved building surfaces. In addition, curved compound surfaces are often utilized to accommodate the complicated spatial programs, building codes, and zoning regulations or to achieve harmonious geometrical relationships with neighboring buildings in highly developed urban contexts. The use of the compound surface apparently makes the traditional paneling pattern projection more challenging. Various mapping technics have been introduced to deal with the inabilities of the projection methods for curved facades. The mapping methods translate geometries on a 2d surface into a 3d building façade at the same topological locations rather than relying on Euclidean or Affine projection. However, due to the intrinsic differences of the planar 2d and curved 3d surfaces, the mapping often comes with noticeable distortions of the paneling patterns. Thus, this paper proposes a practical method of drawing paneling patterns directly on a curved compound surface utilizing Geodesic, which is faithful to any curved surface, to minimize unnecessary distortions.

Compensation of Geometric Error by the Correction of Control Surface (제어곡면 수정에 의한 기하오차 보정)

  • Ko, Tae-Jo;Park, Sang-Shin;Kim, Hee-Sool
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.4
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    • pp.97-103
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    • 2001
  • Accuracy of a machined part is determined by the relative motion between the cutting tool and the workpiece. One of the important factors which affects the relative motion is the geometric errors of a machine tool. In this study, firstly, geometric errors are measured by laser interferometer, and the positioning error of each control point selected uniformly on the control surface CAD model can be estimated from th oirm shaping model and geometric error data base. Where a form shaping function is derived from the link of homogeneous transformation matrix. Secondly, control points are shifted to the estimated amount of positioning errors. A new control surface is modeled with NURBS(Non Uniform Rational B-Spline) surface approximation to the shifted control points. By generating tool paths to the redesigned control surface, we reduce the machining error quite.

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NURBS Surface Deformation with 3D Target Curve for Virtual Design (가상 디자인을 위한 3 차원 목표곡선을 이용한 곡면 변형)

  • Lee, Jeong-In;Chai, Young-Ho
    • 한국HCI학회:학술대회논문집
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    • 2006.02a
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    • pp.474-479
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    • 2006
  • 컴퓨터 기술이 발전함에 따라 3 차원 입력시스템을 통한 모델링이 가능하게 되었다. 2 차원 시스템은 평면 입력을 공간상의 데이터로 바꾸기 위한 많은 기능과 메뉴들이 존재하지만 3 차원 시스템에서는 그러한 복잡한 기능 없이 입력 데이터가 곧바로 모델링에 적용될 수 있다. 하지만 아직까지 3 차원 입력시스템에서 모델링을 수행하는 디자이너에게 익숙한 스케치 방법을 고려하지 못하고 있는 실정이다. 디자이너에게 가장 익숙한 모델링 방법은 스케치북에 선으로 그림을 그리는 것이기 때문에, 모델을 변형하는 방법은 이를 벗어나지 않도록 해야 한다. 평면 스케치에서 디자이너가 그리는 선은 모델의 윤곽을 잡아주고 모델의 특징이 되는 부분을 표현하게 된다. 이러한 선의 입력을 통한 스케치를 3 차원 모델링에서 그대로 사용하기 위해서는 공간에서의 점이나 면이 아닌 선의 입력을 모델링에 적용할 수 있어야 한다.

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Grid Generation about Full Aircraft Configuration Using Interactive Grid Generator (상호 대화형 격자생성 환경을 이용한 항공기 전기체 격자계 생성)

  • Kim Y. S.;Kwon J. H.
    • 한국전산유체공학회:학술대회논문집
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    • 1999.11a
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    • pp.145-151
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    • 1999
  • An Interactive grid generation program(KGRID) with graphical user interface(GUI) has been improved. KGRID works on the UNLX environment and GUI has been implemented with OSF/Motif and X Toolkit and the graphics language is Open GL for visualization of the 3D objects. It supports more convenient user environment to generate 2D and 3D multi-block structured grid systems. It provides various useful field grid generation methods, which are the algebraic methods, the elliptic partial differential equations method and the predictor-corrector method. It also supports 3D surface grid generation with NURBS(Non-Uniform Rational B-Spline) and various stretching functions to control grid points distribution on curves and surfaces. And some menus are added to perform flexible management, for the objects. We generated surface and field grid system about full aircraft configuration using KGRID. The performance and stability of the KGRID is verified through the generation of the grid system about a complex shape.

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Review of Reverse Design Process for Freeform Envelope Using 3D Scanning (비정형 건축물의 외장재 제작 시공을 위한 3D 스캐닝에 의한 역 설계 프로세스 검토)

  • Kim, Sung-Jin;Park, Sung-Jin;Ryu, Hanguk
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2015.05a
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    • pp.17-18
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    • 2015
  • In manufacturing industry, image scanning technique has made enormous progress in past decades. 3D models have been also very important to continuously monitor the related spatial information for freeform buildings. The process of shape making of 3D scanning is as follows: mesh surface segmentation, NURBS surface generation, and parametric solid model generation. We will review the process and applying process. Especially in the construction industry, 3D data collection by laser scanning has become an high quality 3D models. Therefore, in this research, we have an effort to review construction of reverse design process for freeform envelope using 3D scanning. The technology enables many 3D shape engineering and design parameterization of reverse engineering in the construction site.

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Surface Rendering using Stereo Images (스테레오 영상을 이용한 Surface Rendering)

  • Lee, S.J.;Yoon, S.W.;Cho, Y.B.;Lee, M.H.
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2818-2820
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    • 2001
  • This paper presents the method of 3D reconstruction of the depth information from the endoscopic stereo scopic images. After camera modeling to find camera parameters, we performed feature-point based stereo matching to find depth information. Acquired some depth information is finally 3D reconstructed using the NURBS(Non Uniform Rational B-Spline) algorithm. The final result image is helpful for the understanding of depth information visually.

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CNC Tool Path Planning for Free-Form Sculptured Surface with a New Tool Path Interval Algorithm (새로운 공구경로간격 알고리듬을 이용한 자유곡면에서의 CNC 공구경로 계획)

  • Lee, Sung-Gun;Yang, Seung-Han
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.6
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    • pp.43-49
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    • 2001
  • A reduced machining time and increased accuracy for the sculptured surface are very important when producing complicated parts. The step-size and tool-path interval are essential components in high speed and high resolution machining. If they are small, the machining time will increase, whereas if they are large, rough surfaces will be caused. In particular, the machining time, which is key in high speed machining, is affected by the tool-path interval more than the step-size. The conventional method for calculating the tool=path interval is to select a small parametric increment of a small increment based on the curvature of the surface. However, this approach also has limitations. The first is that the tool-path interval can not be calculated precisely. The second is that a separate tool-path interval needs to be calculated in each of the three cases. The third is that the conversion from Cartesian domain to parametric domain or vice versa must be necessary. Accordingly, the current study proposes a new tool-path interval algorithm that do not involve a curvature and that is not necessary for any conversion and a variable step-size algorithm for NURBS.

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