کد مقاله کد نشریه سال انتشار مقاله انگلیسی ترجمه فارسی نسخه تمام متن
4952877 1364493 2017 14 صفحه PDF سفارش دهید دانلود کنید
عنوان انگلیسی مقاله
Subdivision and multiresolution for PUPs
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
Subdivision and multiresolution for PUPs
چکیده انگلیسی


- Introducing a systematic method to derive subdivision and multiresolution for PUPs.
- Deriving PUPs multiresolution masks using a constrained least squares optimization.
- Illustrating the method by providing example multiresolution schemes.

Partition of Unity Parametrics (PUPs) is a generalization of NURBS that permits the use of arbitrary basis functions to model parametric curves and surfaces. An interesting problem for PUPs is the identification of subdivision, reverse subdivision, and multiresolution schemes for this recently developed and flexible class of parametric curves and surfaces.In this paper, we introduce a systematic approach to derive uniform subdivision schemes for PUPs curves and tensor-product surfaces. Our approach formulates PUPs subdivision as a least squares problem. This allows us to find exact subdivision filters for refinable basis functions and optimal approximate schemes for irrefinable ones. Additionally, we derive PUPs multiresolution masks based on their subdivision filters. We formulate the problem as a constrained least squares optimization, such that the resulting multiresolution schemes are banded and optimal in terms of minimizing multiresolution reconstruction error.Finally, to illustrate our methods, we provide sample subdivision and multiresolution schemes with different properties. These include specific examples targeted towards applications of PUPs multiresolution schemes for compression, feature transfer, and macroscopic editing.

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ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Graphics - Volume 62, February 2017, Pages 53-66
نویسندگان
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