کد مقاله کد نشریه سال انتشار مقاله انگلیسی ترجمه فارسی نسخه تمام متن
4967047 1449361 2018 33 صفحه PDF سفارش دهید دانلود کنید
عنوان انگلیسی مقاله ISI
Scientific data interpolation with low dimensional manifold model
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Scientific data interpolation with low dimensional manifold model
چکیده انگلیسی


- A low dimensional manifold model is applied to the interpolation of scientific data from sparse sampling.
- The low dimensionality of the patch manifold for general scientific data sets is used as a regularizer.
- The proposed algorithm consistently outperforms other state-of-the-art methods in this field.
- The performance of the proposed method as a data compression technique is compared to other standard methods.

We propose to apply a low dimensional manifold model to scientific data interpolation from regular and irregular samplings with a significant amount of missing information. The low dimensionality of the patch manifold for general scientific data sets has been used as a regularizer in a variational formulation. The problem is solved via alternating minimization with respect to the manifold and the data set, and the Laplace-Beltrami operator in the Euler-Lagrange equation is discretized using the weighted graph Laplacian. Various scientific data sets from different fields of study are used to illustrate the performance of the proposed algorithm on data compression and interpolation from both regular and irregular samplings.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 352, 1 January 2018, Pages 213-245
نویسندگان
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