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Abstract A singular vertex cannot always be avoided in constructing networks of boundary curves. When three boundary curves, two tangents of which are collinear, meet at a singular vertex, then the region that is bounded by the curves makes T-shape. We give a necessary condition for interpolation of a 3-valent singular vertex with Bézier surfaces, suggest a subdivision method with three rectangular sub-patches including T-junctions for use when this condition is not met, and give examples of its use.
Publication Date 2018-12-01
Role Coauthor
Category SCI
Impact Factor 1.522

Min-Jae Oh, Taw-Wan Kim, Myung-Il Roh, "G1 Bezier Surface Interpolation with T-junctions at a 3-Valent Singular Vertex", Computer Aided Geometric Design, Vol. 67, pp. 79-95, 2018.12.02


  1. No Image 02Dec
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    in International Journal

    Myung-Il Roh, Kyu-Yeul Lee, "Optimal Scheduling of Block Lifting in Consideration of the Minimization of Traveling Distance While Unloaded and Wire and Shackle Replacement of a Gantry Crane", Journal of Marine Science and Technology, Vol. 15, No. 2, pp. 190-200, 2010.06.01

  2. No Image 02Dec
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    in International Journal

    Myung-Il Roh, Kyu-Yeul Lee, "Generation of the Production Material Information of a Building Block and Simulation of the Block Erection for Computer-Aided Process Planning and Scheduling in Shipbuilding", International Journal of Production Research, Vol. 45, No. 20, pp. 4653-4683, 2007.10.01

  3. No Image 02Dec
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    in International Journal

    Myung-Il Roh, Kyu-Yeul Lee, "Generation of the 3D CAD Model of the Hull Structure at the Initial Ship Design Stage and Its Application", Computers in Industry, Vol. 58, No. 6, pp. 539-557, 2007.08.01

  4. No Image 02Dec
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    in International Journal

    Myung-Il Roh, Kyu-Yeul Lee, "Development of a 3D CAD System for Modeling Hull Structure at the Initial Ship Design Stage", Ships and Offshore Structures, Vol. 1, No. 2, pp. 135-151, 2006.04.01

  5. No Image 02Dec
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    in International Journal

    Myung-Il Roh, Kyu-Yeul Lee, "An Initial Hull Structural Modeling System for Computer-Aided Process Planning in Shipbuilding", Advances In Engineering Software, Vol. 37, No. 7, pp. 457-476, 2006.07.01

  6. No Image 02Dec
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    in International Journal

    Myung-Il Roh, Ju-Hwan Cha, "A Block Transportation Scheduling System Considering a Minimization of Travel Distance without Loading of and Interference between Multiple Transporters", International Journal of Production Research, Vol. 49, No. 11, pp. 3231-3250, 2011.06.01

  7. No Image 02Dec
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    in International Journal

    Myung-Il Roh, "Determination of an Economical Shipping Route Considering the Effects of Sea State for Lower Fuel Consumption", International Journal of Naval Architecture and Ocean Engineering, Vol. 5, No. 2, pp. 246-262, 2013.06.01

  8. No Image 02Dec
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    in International Journal

    Myung-Il Roh, "Block Layout Method in the Block Stockyard Based on the Genetic Algorithm", Ocean Systems Engineering, Vol. 2, No. 4, pp. 271-287, 2012.12.01

  9. No Image 03Oct
    by SyDLab
    in International Journal

    Min-Jae Oh, Taw-Wan Kim, Myung-Il Roh, "G1 Bezier Surface Interpolation with T-junctions at a 3-Valent Singular Vertex", Computer Aided Geometric Design, Vol. 67, pp. 79-95, 2018.12.01

  10. No Image 23Apr
    by
    in International Journal

    Min-Jae Oh, Myung-Il Roh, Tae-Wan Kim, "Local T-spline Surface Skinning with Shape Preservation", Computer-Aided Design, Vol. 104, pp. 15-26, 2018.11.01

  11. No Image 24Jan
    by
    in International Journal

    Min-Jae Oh, Myung-Il Roh, Sung-Woo Park, Do-Hyun Chun, Se-Hyun Myung, "Big Data-based Piping Material Analysis Framework in Offshore Structure for Contract Design", Ocean Systems Engineering, Vol. 9, No. 1, pp. 79-95, 2019.01.01

  12. No Image 15Apr
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    in International Journal

    Min-Jae Oh, Myung-Il Roh, Sung-Woo Park, Do-Hyun Chun, Myeong-Jo Son, Jeong-Youl Lee, “Operational Analysis of Container Ships by Using Maritime Big Data”, Journal of Marine Science and Engineering, Vol. 9, No. 4, pp. 438: 1-21, 2021.04.18

  13. No Image 07Jan
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    in International Journal

    Min-Chul Kong, Myung-Il Roh, Ki-Su Kim, Jeongyoul Lee, Jongoh Kim, Gapheon Lee, "Object Detection Method for Ship Safety Plans Using Deep Learning", Ocean Engineering, 2022.02.15

  14. No Image 15Nov
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    in International Journal

    Min-Chul Kong, Myung-Il Roh, Ki-Su Kim, Ho-Gyun Park, Jong-Oh Kim, "Variable Indexing Method in Rule Documents for Ship Design Using Extraction of PDF Elements", Journal of Computational Design and Engineering, Vol. 9, No. 6, 2022.11.16

  15. No Image 25Jun
    by
    in International Journal

    Min-Chul Kong, Myung-Il Roh, "A Method for Implementing a Ship Navigation Simulator for the Generation and Utilization of Virtual Data", International Journal of Naval Architecture and Ocean Engineering, 2024.06.25

  16. No Image 05Aug
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    in International Journal

    Luman Zhao, Myung-Il Roh, “A Thrust Allocation Method for Efficient Dynamic Positioning of a Semisubmersible Drilling Rig Based on the Hybrid Optimization Algorithm”, Mathematical Problems in Engineering, Vol. 2015, pp. 1-12, 2015.10.01

  17. No Image 20May
    by
    in International Journal

    Luman Zhao, Myung-Il Roh, Sung-Jun Lee, "Control Method for Path Following and Collision Avoidance of Autonomous Ships Based on Deep Reinforcement Learning", Journal of Marine Science and Technology (Taiwan), Vol. 27, No. 4, pp. 293-310, 2019.08.01

  18. No Image 16Aug
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    in International Journal

    Luman Zhao, Myung-Il Roh, Seung-Ho Ham, "Performance Analysis of an Active Heave Compensation System on an Offshore Supply Vessel Using the Hardware-In-The-Loop Simulation", Journal of Marine Science and Technology (Taiwan), Vol. 26, No. 5

  19. No Image 16Dec
    by
    in International Journal

    Luman Zhao, Myung-Il Roh, Seung-Ho Ham, "Anti-Sway Control of the Crane on an Offshore Support Vessel Based on the Hardware-In-The-Loop Simulation", International Journal of Offshore and Polar Engineering, Vol. 28, No. 2, pp. 182-189, 2018.06.01

  20. No Image 22Jun
    by
    in International Journal

    Luman Zhao, Myung-Il Roh, Jeong-Woo Hong, "Optimal Thrust Allocation for Dynamic Positioning of Deep-sea Working Vessel", Journal of Advanced Research in Ocean Engineering, Vol. 1, No. 2, pp. 94-105, 2015.06.01

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