کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
441893 692007 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stretch-minimising stream surfaces
ترجمه فارسی عنوان
سطوح جریان به حداقل رساندن کشش
کلمات کلیدی
سطح جریان، رشته بردار آزاد، حفاظت از طول قوس، تجسم جریان
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
چکیده انگلیسی

We study the problem of finding stretch-minimising stream surfaces in a divergence-free vector field. These surfaces are generated by motions of seed curves that propagate through the field in a stretch minimising manner, i.e., they move without stretching or shrinking, preserving the length of their arbitrary arc. In general fields, such curves may not exist. However, the divergence-free constraint gives rise to these ‘stretch-free’ curves that are locally arc-length preserving when infinitesimally propagated. Several families of stretch-free curves are identified and used as initial guesses for stream surface generation. These surfaces are subsequently globally optimised to obtain the best stretch-minimising stream surfaces in a given divergence-free vector field.Our algorithm was tested on benchmark datasets, proving its applicability to incompressible fluid flow simulations, where our stretch-minimising stream surfaces realistically reflect the flow of a flexible univariate object.

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ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Graphical Models - Volume 79, May 2015, Pages 12–22
نویسندگان
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