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where δ is a positive real number, which we specify later. It can easily be verified that this metric is equivalent to the Euclidean metric on R3. Denote Ri,j(x, y)… Click to show full abstract
where δ is a positive real number, which we specify later. It can easily be verified that this metric is equivalent to the Euclidean metric on R3. Denote Ri,j(x, y) = Pi,j(φi(x), φj(y))−si,jBi,j(x, y), due to the C1-continuous functions Pi,j(x, y) and Bi,j(x, y), the function Ri,j(x, y) is C 1-continuous over Ω. So, a constant number μi,j exists, such that: |Ri,j(x, y)−Ri,j(x, y′)| < μi,j(|x− x′|+ |y − y′|).
Keywords:
surfaces derived;
bicubic rational;
smooth fractal;
fractal surfaces;
rational fractal;
derived bicubic
Journal Title: Science China Information Sciences
Year Published: 2017
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Journal Title: Science China Information Sciences
Year Published: 2017
Link to full text (if available)
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recommendations!