{
  "id": "1404.1300",
  "version": "v1",
  "published": "2014-04-03T10:49:12.000Z",
  "updated": "2014-04-03T10:49:12.000Z",
  "title": "A construction of fractal surfaces with function scaling factors on a rectangular grid",
  "authors": [
    "Chol-Hui Yun",
    "Hui-Chol Choi",
    "Hyong-Chol O"
  ],
  "comment": "9 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "A fractal surface is a set which is a graph of a bivariate continuous function. In the construction of fractal surfaces using IFS, vertical scaling factors in IFS are important one which characterizes a fractal feature of surfaces constructed. We construct IFS with function vertical scaling factors which are 0 on the boundaries of a rectangular grid using arbitrary data set on a rectangular grid and give a condition for an attractor of the IFS constructed being a surface. Finally, lower and upper bounds of Box-counting dimension of the constructed surface are estimated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-03T10:49:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C45",
      "28A80",
      "41A05"
    ],
    "keywords": [
      "rectangular grid",
      "fractal surface",
      "function scaling factors",
      "construction",
      "arbitrary data set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.1300Y"
    }
  }
}