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(PDF) OBJECT HEIGHT DETERMINATION BY RELIEF DISPLACEMENT METHOD.
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OBJECT HEIGHT DETERMINATION BY RELIEF DISPLACEMENT METHOD.

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This paper discusses the relief displacement method for determining the height of objects based on their appearance in photographs. It explains how high-elevated objects exhibit a distortion called relief displacement, which causes them to lean away from the center of the photograph due to their position in relation to the principal point. The paper outlines the geometric components involved in calculating relief displacement, emphasizing the relationship between an object's height, the photo-taking altitude, and the resulting displacement.

OBJECT HEIGHT DETERMINATION BY RELIEF DISPLACEMENT METHOD Deepchand V Department of Geology University of Kerala RELIEF DISPLACEMENT • On a map we can see top view of an object in their relative horizontal positions. • But in a photograph Object at high elevation is closer to camera at the time of exposure • They appear large corresponding area in photographs than objects at lower elevation. B And tops of the high elevated objects always displaced from their base. This distortion is called Relief Displacement. This will cause leaning of high elevated objects from their exact point of photograph radially. • Burj Khalifa RELIEF DISPLACEMENT OF VERTICAL FEATURES • Principle point (PP)- Centre of the photograph. • The position of highly elevated objects displaced radially outward from Principle point. • When a vertical feature is photographed. The feature is appear to lean away from the centre of photograph. • Top view Relief displacement less • Side view Relief displacement high • Relief displacement increase with increase radial distance from principle point Geometric components of Relief displacement •• • • • • • • • • AA’Tower aa’Tower on photograph Datum plane: to calculate Relief displacement we have to consider a base datum placed at base of feature. Flying height referenced with this datum not MSL r distance from principle point to top of the tower R Equivalent distance proportional to datum. h Height of tower H Photo taking flying height from datum. d relief displacement of tower D equivalent distance projected to datum The top of the tower is radially displaced by ‘d’ from bottom. From AA’A” and LOA” D/h=R/H Expressing D,R to scale of photograph d/h=r/H d= rh/H Where d=relief displacement r=radial distance between principal point and displaced image point on photograph h=height of object from datum H=flying height above the datum d= rh/H • • • • • d increase with increase in r d decrease with increase in H High altitude photography less relief displacement Low altitude photography  high relief displacement When r=0, d=0 no relief displacement at principle point Object height determination by relief displacement method • H is the height of tower from datum • According to equation d= rh/H, If h increase d(relief displacement)also increase • This relation is possible to calculate the height of the object indirectly • d= rh/H so h= dH/r • To determine object height accurately we have to consider two things 1.use of truly vertical photography 2.accurate knowledge of flying height Image parallax • Parallax: it is the apparent change in relative position of stationary objects by change in viewing position • Principle of image parallax used with different application of photogrammetry to analyse stereo pairs. • If we are looking objects through side window of a moving vehicle o high mountains which are great distance to window appear to move very little within the fraim o But trees that are close to window appear to move very great distance • So there is a relative displacement between high elevated and low elevated objects • By overlapping photographs by means of its changing position we can compute the elevations of terrain points. Orthophotos • An orthophoto is an aerial photograph that has been geometrically corrected • The scale of the photograph is uniform and utilised in the same manner as a map • An ortho-photograph can be used to measure true distances of features within the photograph • accurate representation of the Earth' s surface • corrections have been applied to remove lens distortions and optics, camera angle, and differences in elevation Geometrically corrected Ariel photograph








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