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Plane Transformation Projective Projection Central Calculation Example # Calculation example – Central projection and projective transformation of a plane

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Calculate the maximum offset value ΔΖmax of an extrusion or intrusion detail from a reference plane (mainly flat object) so that the maximum error on the image plane due to radial shift does not exceed a certain limit Δρmax. (optical axis perpendicular to object plane)

1. From the geometry of the scene applies:

where mb is the image scale (constant for a flat object face parallel to image plane).

From these equations, it follows that Î”Ï value is proportionate to Î”Î– as well as to Ï. Thus, for a given Î”Î– value, radial error Î”Ï reaches its unfavorable value when Ï=Ïmax , that is along the limits of the image.

2. Given the previous equation, for Î”Ïmax:

concluding that, in order to maintain an orthoimageâ€™s accuracy inside the limits of the default graphical accuracy, the object must not reveal extruded or intruded faces larger than 12 cm.

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Given the rate and direction of full dip of a pla...

Given the rate and direction of full dip of a plan...

Given the rate and direction of full dip of a plan...