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A finite element method for block adjustment problems of photogrammetry
Author(s) -
Utku Senol
Publication year - 1973
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620060105
Subject(s) - photogrammetry , block (permutation group theory) , finite element method , context (archaeology) , stiffness matrix , direct stiffness method , diagonal , computer science , point (geometry) , algorithm , software , matrix (chemical analysis) , mathematical optimization , mathematics , geometry , engineering , structural engineering , artificial intelligence , geography , materials science , archaeology , composite material , programming language
It is shown that the finite element method can be used advantageously in generating the normal equations of a given photogrammetric network for block adjustments. In this method aerial (or spatial) photographs of a block are processed one at a time, in any random order, to generate the portion of the coefficient matrix between the main diagonal and the variable band and the right hand vector of the normal equations, related with the adjustments to the control points. Any known information related with the adjustments may be imposed, and an internal control point relabelling scheme may be used during the assembly process, in order to minimize the actual computer storage area and the solution time requirements. The paper shows the analogies between the linear equilibrium problems of structural mechanics, and the block adjustment problems of photogrammetry, in order to enable the students of both fields to use the same computer software. In this context, plate‐point adjustment matrices and plate‐point load vectors for the adjustment problem (corresponding to the element stiffness matrices and the element load vectors of equilibrium problems) are defined and explicit expressions are given.