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    Flattenable Mesh Surface Fitting on Boundary Curves

    Source: Journal of Computing and Information Science in Engineering:;2008:;volume( 008 ):;issue: 002::page 21006
    Author:
    Charlie C. Wang
    DOI: 10.1115/1.2906695
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper addresses the problem of fitting flattenable mesh surfaces in R3onto piecewise linear boundary curves, where a flattenable mesh surface inherits the isometric mapping to a planar region in R2. The developable surface in differential geometry shows the nice property. However, it is difficult to fit developable surfaces to a boundary with complex shape. The technique presented in this paper can model a piecewise linear flattenable surface that interpolates the given boundary curve and approximates the cross-tangent normal vectors on the boundary. At first, an optimal planar polygonal region is computed from the given boundary curve B∊R3, triangulated into a planar mesh surface, and warped into a mesh surface in R3, satisfying the continuities defined on B. Then, the fitted mesh surface is further optimized into a flattenable Laplacian (FL) mesh, which preserves the positional continuity and minimizes the variation of cross-tangential normals. Assembled set of such FL mesh patches can be employed to model complex products fabricated from sheets without stretching.
    keyword(s): Surface fitting ,
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      Flattenable Mesh Surface Fitting on Boundary Curves

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    http://yetl.yabesh.ir/yetl1/handle/yetl/137618
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    contributor authorCharlie C. Wang
    date accessioned2017-05-09T00:27:17Z
    date available2017-05-09T00:27:17Z
    date copyrightJune, 2008
    date issued2008
    identifier issn1530-9827
    identifier otherJCISB6-25988#021006_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/137618
    description abstractThis paper addresses the problem of fitting flattenable mesh surfaces in R3onto piecewise linear boundary curves, where a flattenable mesh surface inherits the isometric mapping to a planar region in R2. The developable surface in differential geometry shows the nice property. However, it is difficult to fit developable surfaces to a boundary with complex shape. The technique presented in this paper can model a piecewise linear flattenable surface that interpolates the given boundary curve and approximates the cross-tangent normal vectors on the boundary. At first, an optimal planar polygonal region is computed from the given boundary curve B∊R3, triangulated into a planar mesh surface, and warped into a mesh surface in R3, satisfying the continuities defined on B. Then, the fitted mesh surface is further optimized into a flattenable Laplacian (FL) mesh, which preserves the positional continuity and minimizes the variation of cross-tangential normals. Assembled set of such FL mesh patches can be employed to model complex products fabricated from sheets without stretching.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFlattenable Mesh Surface Fitting on Boundary Curves
    typeJournal Paper
    journal volume8
    journal issue2
    journal titleJournal of Computing and Information Science in Engineering
    identifier doi10.1115/1.2906695
    journal fristpage21006
    identifier eissn1530-9827
    keywordsSurface fitting
    treeJournal of Computing and Information Science in Engineering:;2008:;volume( 008 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian