کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
440820 691282 2016 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Interpolation properties of C1 quadratic splines on hexagonal cells
ترجمه فارسی عنوان
خواص انترپولاسیون اسپلاین های درجه دوم C1 در سلول های شش ضلعی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
چکیده انگلیسی


• Geometric characterization of hexagonal cells without the interpolation property.
• New examples of unconfinable interior vertices.
• Interpolation properties of splines depend on the geometry of cells.

Let ΔnΔn be a cell with a single interior vertex and n   boundary vertices v1,…,vnv1,…,vn. Say that ΔnΔn has the interpolation property if for every z1,…,zn∈Rz1,…,zn∈R there is a spline s∈S21(Δn) such that s(vi)=zis(vi)=zi for all i. We investigate under what conditions does a cell fail the interpolation property. The question is related to an open problem posed by Alfeld, Piper, and Schumaker in 1987 about characterization of unconfinable vertices.For hexagonal cells, we obtain a geometric criterion characterizing the failure of the interpolation property. As a corollary, we conclude that a hexagonal cell such that its six interior edges lie on three lines fails the interpolation property if and only if the cell is projectively equivalent to a regular hexagonal cell. Along the way, we obtain an explicit basis for the vector space S21(Δn) for n≥5n≥5.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 45, July 2016, Pages 73–82
نویسندگان
, , , , ,