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After reviewing the concept of fractals, especially the fractional Brownian function and its fundamental characteristics, we present fractal\u2010based techniques for analyzing and interpolating 3D surface shapes. These techniques are based essentially on the approximation of the surface by the fractional Brownian function. Finally, the application of these techniques to terrain modeling is described. The analysis\u2010followed\u2010by\u2010interpolation method is applied successfully for generating the digital terrain map of high spatial resolution from the existing coarse terrain data.<\/jats:p>","DOI":"10.1002\/scj.4690190910","type":"journal-article","created":{"date-parts":[[2007,7,7]],"date-time":"2007-07-07T16:16:38Z","timestamp":1183824998000},"page":"101-113","source":"Crossref","is-referenced-by-count":0,"title":["Fractal\u2014based analysis of 3D natural shapes and its application to terrain modeling"],"prefix":"10.1002","volume":"19","author":[{"given":"Naokazu","family":"Yokoya","sequence":"first","affiliation":[]},{"given":"Kazuhiko","family":"Yamamoto","sequence":"additional","affiliation":[]},{"given":"Noboru","family":"Funakubo","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2007,3,21]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1145\/4078.4081"},{"issue":"12","key":"e_1_2_1_3_2","first-page":"48","article-title":"Geometric modeling of mechanical parts and processes","volume":"10","author":"Voelcker H. 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