Proceedings, XXth congress: Proceedings, XXth congress

Altan, M. Orhan

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Multivolume work

Persistent identifier:: 1663674213

Title:: Proceedings, XXth congress

Sub title:: Istanbul, 12 - 23 July 2004

Year of publication:: 2004

Place of publication:: Istanbul

Publisher of the original:: [Verlag nicht ermittelbar]

Identifier (digital):: 1663674213

Language:: English

Additional Notes:: Erscheinungsdatum des Originals ist aus dem Copyrightjahr ermittelt.; Auch bezeichnet als XXth International Congress for Photogrammetry and Remote Sensing

Editor:: Altan, M. Orhan

Corporations:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing, Commission Primary Data Acquisition

Adapter:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing, Commission Primary Data Acquisition

Founder of work:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing, Commission Primary Data Acquisition

Other corporate:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing, Commission Primary Data Acquisition

Document type:: Multivolume work

Volume

Persistent identifier:: 166368779X

Title:: Proceedings, XXth congress

Scope:: IV, 226 Seiten

Year of publication:: 2004

Place of publication:: Istanbul

Publisher of the original:: [Verlag nicht ermittelbar]

Identifier (digital):: 166368779X

Illustration:: Illustrationen, Diagramme

Signature of the source:: ZS 312(35,B8)

Language:: English

Additional Notes:: Erscheinungsdatum des Originals ist aus dem Copyrightjahr ermittelt.

Usage licence:: Attribution 4.0 International (CC BY 4.0)

Editor:: Altan, M. Orhan

Corporations:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing

Adapter:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing

Founder of work:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing

Other corporate:: International Society for Photogrammetry and Remote Sensing, Congress, 20., 2004, Istanbul; International Society for Photogrammetry and Remote Sensing

Publisher of the digital copy:: Technische Informationsbibliothek Hannover

Place of publication of the digital copy:: Hannover

Year of publication of the original:: 2019

Document type:: Volume

Collection:: Earth sciences

Chapter

Title:: 3D MODELING AND REPRESENTATION OF “IDEAL CITY” PAINTED BY PIERO DELLA FRANCESCA Tomomasa SAEGUSA, Hirofumi CHIKATSU

Document type:: Multivolume work

Structure type:: Chapter

International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B-YF. Istanbul 2004 Figure 2. Schematic of perspective projection Where E shows eye point, VC shows the view center, LH shows the horizon line, PP shows the painting plane, and GP shows the ground plane. The basic points for the one point perspective projection are as follows. The depth is expressed toward the center in the picture, and the straight line toward the center that extends from right to leave intersects at one point. This point becomes the vanishing point in the painting, and lines which join to the same height point make the straight line always that expresses the depth faces the vanishing point. The origin point in ground coordinate system are defined at the eye point, similarly origin point in photo coordinate system are defined at the vanishing point as shown in Figure 2. 3. ACQUISITION OF 3D INFORMATION As previously stated, the one point perspective projection expresses geometrical space in 2-dimension plane. In order to acquire 3-dimentional information from 2-dimensional plane, perspective geometry should be considered, and detail procedures are as follows. 3.1 Estimation of vanishing point In order to acquire depth information from the eye point to an object space, vanishing point which is able to detect the point where the extensions of the lines concentrate should be detect. The vanishing point of the “Ideal City” was detected on the front door of the shrine painted at the center as shown in Figure 3-1. The vanishing point is defined as origin point in photoho coordinate system as mentioned above, and origin point means principal point in photogrammetry. Estimation of vanishing point Figure 3-1. 154 3.2 Estimation of focal length In order to compute the actual depth distance to the object is necessary to estimate distance (/ ) from the eye point to the painting plane. Painting plane and the distance / are correspond to focal plane and focal length in photogrammetry respectively. Figure 3-2 shows relationship between focal length / and angle 0, and these relationships is expressed as Eq. (1) using w in figure 3-2. W ut c (1) f tan Ó The size of the “Ideal City” is 2000mm in width and 600mm in vertical, then w becomes 1000mm. angular field of view (20) equal 60* computed from Eq. (1) as 1733mm. UT UMMA Furthermore, let assume ander Cone's theory, / is / / £ Figure 3-2. Relationship between focal length and field angle 3.3 Estimation of Depth Distance As the next step, it is necessary to estimate the depth distances from the eye point to objects. Then, let assume L is ground distance in a real space; and / is photo distance on the painting in figure 3-3, the depth distance Z is computed by Eq.(2). In order to compute the depth distance, the width of the door at the center of picture was assumed as 6ft, and the photo distance for the width is measured as 38mm. Therefore, the depth distance is computed as 83.4m using Eq.(2), and the plane include the door was defined as datum plane in photogrammetry in this paper. Then, it can be said that the depth distance 83.4m is flying height above datum plane in photogrammetry. Zi (2) Figure 3-3. Outline of depth distance

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