کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
441225 691412 2011 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Artifact analysis on triangular box-splines and subdivision surfaces defined by triangular polyhedra
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
Artifact analysis on triangular box-splines and subdivision surfaces defined by triangular polyhedra
چکیده انگلیسی

Surface artifacts are features in a surface which cannot be avoided by movement of control points. They are present in B-splines, box splines and subdivision surfaces. We showed how the subdivision process can be used as a tool to analyse artifacts in surfaces defined by quadrilateral polyhedra (Sabin et al., 2005 and Augsdörfer et al., 2011).In this paper we are utilising the subdivision process to develop a generic expression which can be employed to determine the magnitude of artifacts in surfaces defined by any regular triangular polyhedra. We demonstrate the method by analysing box-splines and regular regions of subdivision surfaces based on triangular meshes: Loop subdivision, Butterfly subdivision and a novel interpolating scheme with two smoothing stages. We compare our results for surfaces defined by triangular polyhedra to those for surfaces defined by quadrilateral polyhedra.

Research highlights
► Surface artifacts are present in B-splines, box splines and subdivision surfaces.
► We present a generic expression to determine the magnitude of artifacts in surfaces.
► We demonstrate the method on surfaces based on triangular meshes.
► The artifact is affected by sampling, number of smoothing stages and their direction.
► We compare the results to surfaces based on quadrilateral meshes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 28, Issue 3, March 2011, Pages 198–211
نویسندگان
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