کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4952894 1442763 2016 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A framework for modeling high quality tension-determined surfaces
ترجمه فارسی عنوان
چارچوب برای مدل سازی سطوح تعیین شده با کشش با کیفیت بالا
کلمات کلیدی
سطح تعیین شده تنش، سطوح متوسط ​​انحنای ثابت، طرح ریزی گرادیان، نگهداری دوره، بهینه سازی مش،
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
چکیده انگلیسی
Many surfaces in nature are determined by the equilibrium of surface tension and external forces, such as air pressure or gravity. Such surfaces, to be called tension-determined surfaces (TDS), are widely used in architectural design and industrial design. A well-known example is the minimal surface which has a zero mean curvature. Existing methods for modeling general TDS, which are normally represented as triangle mesh surfaces, have difficulty in achieving both uniform curvature distribution and high mesh quality. In this paper, we present a novel framework for generating high quality triangular meshes that accurately approximate TDS. While the simultaneous optimization of both surface tension energy and mesh quality is generally infeasible due to conflict, the proposed method resolves the conflict by constraining the two energies into the orthogonal normal and tangent subspaces respectively; to optimize the energies in constrained subspaces, we first project the energy gradients into the subspaces and then combine the projections to drive a stable and convergent optimization process. Experiments show that our method produces better results than previous works in terms of both accuracy of curvature approximation and the mesh quality of the output TDS.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Graphics - Volume 61, December 2016, Pages 50-59
نویسندگان
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