Deriving a Ground Plan from a Bird's-Eye View

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Other Title
  • 鳥瞰写真から平面地図への変換
  • チョウカン シャシン カラ ヘイメン チズ エ ノ ヘンカン ダイ2ホウ 2ジゲン ヨリ 3ジゲン エ ノ テンカイ
  • part 2 : Developing Two-Dimension into Three-Dimension
  • 第2報 (2次元より3次元への展開)

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Abstract

In the previous paper, the author presented a method of making a plan of a two-dimensional object with a high accuracy level from its bird's-eye photograph. In this paper, the author presents the development of a method for easily obtaining the coordinate values of a three-dimensional object by using its two photographs. This method involves the following procedure : (1) arranging four marks into a square on a plane with a three-dimensional object, (2) taking two pictures of these marks from different positions, (3) converting two bird's-eye photographs into two plans of the object, and ( 4 ) calculating the coordinates of a threedimensional object using geometrical relationships between the two plans. As a result, a three-dimensional object can be established. The measuring error of this method was investigated for model blocks. The relative error in length was very small, less than 0.3%. Moreover, this method was applied to three-dimensional measurement of the positions of old coins in an excavation site of ruins, which showed the utility of this method to a wide range of applications.

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