{
  "id": "1303.0615",
  "version": "v6",
  "published": "2013-03-04T06:50:54.000Z",
  "updated": "2014-08-12T03:47:08.000Z",
  "title": "Construction of Fractal Surfaces by Recurrent Fractal Interpolation Curves",
  "authors": [
    "Chol-hui Yun",
    "Hyong-chol O.",
    "Hui-chol Choi"
  ],
  "comment": "14 pages, 2 figures",
  "journal": "Chaos, Solitons & Fractals, 66(2014), 136-143",
  "doi": "10.1016/j.chaos.2014.06.001",
  "categories": [
    "math.DS",
    "math-ph",
    "math.GT",
    "math.MP"
  ],
  "abstract": "A method to construct fractal surfaces by recurrent fractal curves is provided. First we construct fractal interpolation curves using a recurrent iterated functions system(RIFS) with function scaling factors and estimate their box-counting dimension. Then we present a method of construction of wider class of fractal surfaces by fractal curves and Lipschitz functions and calculate the box-counting dimension of the constructed surfaces. Finally, we combine both methods to have more flexible constructions of fractal surfaces.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2014-08-12T03:47:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C45",
      "28A80",
      "41A05"
    ],
    "keywords": [
      "recurrent fractal interpolation curves",
      "construction",
      "construct fractal interpolation curves",
      "construct fractal surfaces",
      "box-counting dimension"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Chaos Solitons and Fractals",
      "year": 2014,
      "month": "Sep",
      "volume": 66,
      "pages": 136
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014CSF....66..136Y"
    }
  }
}