• 제목/요약/키워드: Surface Fitting

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Visualization of Trivariate Scattered Data Interpolation (트라이 베리에이트 산포된 자료 보간의 가시화)

  • Lee, Kun
    • Journal of the Korea Computer Graphics Society
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    • v.2 no.2
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    • pp.11-20
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    • 1996
  • The numerous application of scattered data include the modeling and visualization of physical phenomena. A tetrahedrization is one of pre-processing steps for 4-D surface interpolation. In this paper, various tetrahedrization methods are discussed including, Delaunay, least squares fitting, gradient difference, and jump in normal direction derivatives. This paper discriminates the characteristics of tetrahedrization through visualizing tetrahedral domain. This paper also, provides the tool that can compare and analyze the quality of 4-D space approximation over tetrahedral domain numerically, as well as graphically.

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Adaptive B-spline volume representation of measured BRDF data for photorealistic rendering

  • Park, Hyungjun;Lee, Joo-Haeng
    • Journal of Computational Design and Engineering
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    • v.2 no.1
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    • pp.1-15
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    • 2015
  • Measured bidirectional reflectance distribution function (BRDF) data have been used to represent complex interaction between lights and surface materials for photorealistic rendering. However, their massive size makes it hard to adopt them in practical rendering applications. In this paper, we propose an adaptive method for B-spline volume representation of measured BRDF data. It basically performs approximate B-spline volume lofting, which decomposes the problem into three sub-problems of multiple B-spline curve fitting along u-, v-, and w-parametric directions. Especially, it makes the efficient use of knots in the multiple B-spline curve fitting and thereby accomplishes adaptive knot placement along each parametric direction of a resulting B-spline volume. The proposed method is quite useful to realize efficient data reduction while smoothing out the noises and keeping the overall features of BRDF data well. By applying the B-spline volume models of real materials for rendering, we show that the B-spline volume models are effective in preserving the features of material appearance and are suitable for representing BRDF data.

Observation on Neck Form of Young Japanese Women for Clothing Design I - A Method for Approximate Development of 3-D Measure Valuses - (의복설계를 위한 성인여성의 경부형태의 관찰 I - 도형의 자동제도를 위한 3차원 계측지의 처리방법 -)

  • 최영옥
    • Journal of the Korean Society of Costume
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    • v.31
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    • pp.89-99
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    • 1997
  • In order to know what sorts of features of neck fore may be required to make plans for tight fitting collars the neck form of young japanese women were measured three deme-nsionally using. GRASP(Grating projection System for Profiling) and plaster torso. The following results were obtained: 1. We could be known the features of neck form for tight fitting collars by using both plaster torso method and GRASP method. 2. By the BASIC language in NEC computer and EXCEL package program in macin-TOSHI computer it became possible to draft a numble of neck surface automatically there-fore we got analysis of a mass of subjects.

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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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A Design Study of Aerodynamic Noise Reduction In Centrifugal Compressor Part II . Low-noise Optimization Design (원심압축기의 공력소음 저감에 관한 설계연구 Part II : 저소음 최적설계)

  • 선효성;이수갑
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.10
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    • pp.939-944
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    • 2004
  • The numerical methods including the performance analysis and the noise prediction of the centrifugal compressor impeller are coupled with the optimization design skill, which consists of response surface method, statistical approach, and genetic algorithm. The flow-field Inside of a centrifugal compressor is obtained numerically by solving Wavier-Stokes equations. and then the propagating noise is estimated from the distributed surface pressure by using Ffowcs Williams-Hawkings formulation. The quadratic response surface model with D-optimal 3-level factorial experimental design points is constructed to optimize the impeller geometry for the advanced centrifugal compressor. The statistical analysis shows that the quadratic model exhibits a reasonable fitting quality resulting in the impeller blade design with high performance and low far-field noise level. The influences of selected design variables, objective functions, and constraints on the impeller performance and the impeller noise are also examined as a result of the optimization process.

An Optimization-based Computational Method for Surface Fitting to Update the Geometric Information of An Existing B-Rep CAD Model

  • Louhichi, Borhen;Aifaoui, Nizar;Hamdi, Mounir;BenAmara, Abdelmajid;Francois, Vincent
    • International Journal of CAD/CAM
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    • v.9 no.1
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    • pp.17-24
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    • 2010
  • For several years, researchers have focused on improving the integration of the CAD, CAM and Analysis through a better communication between the various analysis tools. This tendency to integrate the CAD/Analysis and automation of the corresponding processes requires data sharing between the various tasks using an integrated product model. We are interested in this research orientation to CAD/CAM/Analysis integration by rebuilding the CAD model (BREP), starting from the Analysis results (deformed mesh). Because this problem is complex, it requires to be split into several complementary parts. This paper presents an original interoperability process between the CAD and CAE. This approach is based on a new technique of rebuilding the CAD surface model (Nurbs, Bezier, etc.) starting from triangulation (meshed surface) as a main step of the BREP solid model. In our work, the advantages of this approach are identified using a centrifugal pump example.

A Molecular Dynamics Simulation for the Moving Water Droplet on Atomistically Smooth Solid Surface (원자적으로 균일한 평판 위에서 움직이는 물 액적에 대한 분자동역학 시뮬레이션)

  • Hong, Seung-Do;Ha, Man-Yeong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.8
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    • pp.559-564
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    • 2009
  • The variation in the shape of water droplet moving on atomistically smooth solid surface in the presence of a constant body force is simulated using molecular dynamics simulation. We investigated how the advancing and receding contact angle of the moving water droplet changes on a solid surface having various characteristic energies. From the MD simulation results, we obtained the density profile defined as the number of water molecules at a given position. Then, assuming the water droplet periphery to be a circle, we calculated the contact angles by using a nonlinear fitting of the half-density contour line. The present simulation clearly shows the different profile of the advancing and receding contact angle for these three different interaction potential between the water droplet and the solid surface.

Determination of Optical Constants and Thickness of Thin Metal Films by Measurement of Surface Plasmon Resonance (표면 플라즈몬 공명 측정에 의한 금속 박막의 광학 상수와 두께 결정)

  • 황보창권;최철재;최동철
    • Korean Journal of Optics and Photonics
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    • v.2 no.2
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    • pp.59-66
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    • 1991
  • Resonance angle and optimum thinckness of various thin metal films for surface plasmon resonance were calculated using an admittance diagram and optical constants and thickness of thin Ag films and Al films were determined by fitting the measured reflectance of surface plasmon resonance. Two wavelengths of an Ar ion laser were employed to select the unique optical constants which have the same thickness at two wavelengths. Also, when these films were exposed to the air, the shift of surface plasmon resonance was measured and the optical constants of modified thin films were determined.

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Complete 3D Surface Reconstruction from Unstructured Point Cloud (조직화되지 않은 점군으로부터의 3차원 완전 형상 복원)

  • Li Rixie;Kim Seokil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.4 s.235
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    • pp.570-577
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    • 2005
  • In this study a complete 3D surface reconstruction method is proposed based on the concept that the vertices of surface model can be completely matched to the unstructured point cloud. In order to generate the initial mesh model from the point cloud, the mesh subdivision of bounding box and shrink-wrapping algorithm are introduced. The control mesh model for well representing the topology of point cloud is derived from the initial mesh model by using the mesh simplification technique based on the original QEM algorithm, and the parametric surface model for approximately representing the geometry of point cloud is derived by applying the local subdivision surface fitting scheme on the control mesh model. And, to reconstruct the complete matching surface model, the insertion of isolated points on the parametric surface model and the mesh optimization are carried out Especially, the fast 3D surface reconstruction is realized by introducing the voxel-based nearest-point search algorithm, and the simulation results reveal the availability of the proposed surface reconstruction method.

Background Surface Estimation for Reverse Engineering of Reliefs

  • Liu, Shenglan;Martin, Ralph R.;Langbein, Frank C.;Rosin, Paul L.
    • International Journal of CAD/CAM
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    • v.7 no.1
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    • pp.31-40
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    • 2007
  • Reverse engineering of reliefs aims to turn an existing relief superimposed on an underlying surface into a geometric model which may be applied to a different base surface. Steps in this process include segmenting the relief from the background, and describing it as an offset height field relative to the underlying surface. We have previously considered relief segmentation using a geometric snake. Here, we show how to use this initial segmentation to estimate the background surface lying under the relief, which can be used (i) to refine the segmentation and (ii) to express the relief as an offset field. Our approach fits a B-spline surface patch to the measured background data surrounding the relief, while tension terms ensure this background surface smoothly continues underneath the relief where there are no measured background data points to fit. After making an initial estimate of relief offset height everywhere within the patch, we use a support vector machine to refine the segmentation. Tests demonstrate that this approach can accurately model the background surface where it underlies the relief, providing more accurate segmentation, as well as relief height field estimation. In particular, this approach provides significant improvements for relief concavities with narrow mouths and can segment reliefs with small internal holes.