کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
865915 | 909688 | 2007 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multi-Dimensional Piece-Wise Self-Affine Fractal Interpolation Model
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
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چکیده انگلیسی
Iterated function system (IFS) models have been used to represent discrete sequences where the attractor of the IFS is piece-wise self-affine in
R2 or
R3 (R is the set of real numbers). In this paper, the piece-wise self-affine IFS model is extended from
R3 to
Rn (n is an integer greater than 3), which is called the multi-dimensional piece-wise self-affine fractal interpolation model. This model uses a “mapping partial derivative”, and a constrained inverse algorithm to identify the model parameters. The model values depend continuously on all the model parameters, and represent most data which are not multi-dimensional self-affine in
Rn. Therefore, the result is very general. The class of functions obtained is much more diverse because their values depend continuously on all of the variables, with all the coefficients of the possible multi-dimensional affine maps determining the functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Tsinghua Science & Technology - Volume 12, Issue 3, June 2007, Pages 244-251
Journal: Tsinghua Science & Technology - Volume 12, Issue 3, June 2007, Pages 244-251
نویسندگان
Zhang (å¼ å½¤), Zhuang (åº è),