• Title/Summary/Keyword: Quadric Surface Modeling

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Integration of Geometrically Exact Shell Finite Element With Trimmed Surface Modeling base on the NURBS (기하학적으로 정확한 셀 유한요소와 NURBS기반의 Trimmed Surface 모델링과의 연동)

  • Choi Jin-Bork;Roh Hee-Yuel;Cho Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.794-801
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    • 2006
  • The linkage framework of geometric modeling and analysis based on the NURBS technology is developed in this study. The NURBS surfaces are generated by interpolating the given set of data points or by extracting the necessary information to construct the NURBS surface from the IGES format file which is generated by the commercial CAD systems in the present study. Numerical examples shows the rate of displacement convergence according to the paramterization methods of the NURBS surface. NURBS can generate quadric surfaces in an exact manner. It is the one of the advantages of the NURBS. A trimmed NURBS surface that is often encountered in the modeling process of the CAD systems is also presented in the present study. The performance of the developed geometrically exact shell element integrated with the exact geometric representations by the NURBS equation is compared to those of the previous reported FE shell elements in the selected benchmark problems.

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Intra Prediction Method by Quadric Surface Modeling for Depth Video (깊이 영상의 이차 곡면 모델링을 통한 화면 내 예측 방법)

  • Lee, Dong-seok;Kwon, Soon-kak
    • Journal of Korea Society of Industrial Information Systems
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    • v.27 no.2
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    • pp.35-44
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    • 2022
  • In this paper, we propose an intra-picture prediction method by a quadratic surface modeling method for depth video coding. The pixels of depth video are transformed to 3D coordinates using distance information. A quadratic surface with the smallest error is found by least square method for reference pixels. The reference pixel can be either the upper pixels or the left pixels. In the intra prediction using the quadratic surface, two predcition values are computed for one pixel. Two errors are computed as the square sums of differences between each prediction values and the pixel values of the reference pixels. The pixel sof the block are predicted by the reference pixels and prediction method that they have the lowest error. Comparing with the-state-of-art video coding method, simulation results show that the distortion and the bit rate are improved by up to 5.16% and 5.12%, respectively.