The Minkowski dimension of the bivariate fractal interpolation surfaces

By Robert Malysz. 2006

94 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/14fd4fe04034c9bfc0cde3d7d2b57a1c5c7091af

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Pantelis Bouboulis
2. Leoni Dalla

In Computer Graphics and Computer-Aided Design

1. Pantelis Bouboulis
2. Leoni Dalla

In Mathematical Physics

1. Pantelis Bouboulis
2. Leoni Dalla

Citations in the corpus

• FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS (2015, unknown): “By introducing a ‘fold-out’ technique, Małysz [14] constructed FISs on rectangles for arbitrary interpolation points.”
• Fractal interpolation surfaces derived from fractal interpolation functions (2007, methodology): “In [9] and [12] bivariate functions were used to address the problem on a rectangular grid.”
• Full length article: Fractal interpolation functions with variable parameters and their analytical properties (2013, unknown): “, [4,9–11,14,16,21,23,24]).”
• A general construction of fractal interpolation functions on grids of n (2007, background): “Several attempts were made to construct FISs by Massopust and others [6, 12, 16, 17] in the case where the interpolation points or the vertical scaling factors are confined.”