Mathematical Properties of the Cubic Hermite Function for Slope Interpolation.

• YOKOYAMA Ryuzo

  Information Science Dept., Faculty of Engineering, Iwate University

• PRIMA Oky Dicky A.

  Information Science Dept., Faculty of Engineering, Iwate University

Bibliographic Information

Other Title

• 傾斜地の標高補間に用いられる３次エルミート関数の性質について
• ケイシャチ ノ ヒョウコウ ホカン ニ モチイラレル 3ジ エルミート カンスウ ノ セイシツ ニ ツイテ

Abstract

The cubic Hermite function was used as an interpolation method to generate the Digital Map 50m Grid (Elevation) by the Geographical Survey Institute of Japan. A Few studies have been reported concerning the reliability of cubic Hermite function for slope interpolation. However, these studies were mostly based on empirical observations without discussions about the cubic Hermite function's mathematical properties. In this paper, we investigate the applicability of the cubic Hermite function for slope interpolation using the mathematical relations between the trajectories of the cubic Hermite function and its tangent values at the both ends of the interpolation interval. The result shows that a proper slope interpolation can be achieved if and if only the trajectories' values are up to three times of the tangent's value.

Journal

• Journal of the Japan society of photogrammetry and remote sensing

  Journal of the Japan society of photogrammetry and remote sensing 41 (3), 14-22, 2002

  Japan Society of Photogrammetry and Remote Sensing

Keywords

• DEM
• cubic Hermite function
• slope interpolation

Details

• CRID: 1390282679053712512
• NII Article ID: 130004372171
• NII Article ID: 10009292231
• NII Book ID: AN00111450
• DOI: 10.4287/jsprs.41.3_14
• ISSN: 18839061
• ISSN: 02855844
• NDL BIB ID: 6222303
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6222303
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed