کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6876419 1442464 2018 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Injective hierarchical free-form deformations using THB-splines
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
Injective hierarchical free-form deformations using THB-splines
چکیده انگلیسی
The free-form deformation (FFD) method deforms geometry in n-dimensional space by employing an n-variate function to deform (parts of) the ambient space. The original method pioneered by Sederberg and Parry in 1986 uses trivariate tensor-product Bernstein polynomials in R3 and is controlled as a Bézier volume. We propose an extension based on truncated hierarchical B-splines (THB-splines). This offers hierarchical and local refinability, an efficient implementation due to reduced supports of THB-splines, and intuitive control point hiding during FFD interaction. Additionally, we address the issue of fold-overs by efficiently checking the injectivity of the hierarchical deformation in real-time.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer-Aided Design - Volume 100, July 2018, Pages 30-38
نویسندگان
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