TECHNICAL PAPERS
Feb 1, 1997

Exploitation of Linear Features in Surveying and Photogrammetry

Publication: Journal of Surveying Engineering
Volume 123, Issue 1

Abstract

Modeling of linear features, particularly straight lines and circles, in two-dimensional (2D) and three-dimensional (3D) spaces, is developed, with specific consideration of independent descriptors. This is followed by the derivation of the four-, six-, and eight-parameter 2D transformations in terms of the line and circle parameters, as well as 3D linear transformation. Minimum configuration, redundant cases, and restrictions regarding special cases are carefully noted and are compared to the cases of using points only. Many useful geometric constraints between linear features, which provide significant information, are identified and corresponding equations are developed. Constraints involving relative geometric information relating features to each other are considered in addition to those constraints relating features to the reference coordinate system. Finally, the standard point-based photogrammetric collinearity equations are replaced by those based on correspondence between image and object linear features. Results are presented describing experiments where the coordinates of points are perturbed using Gaussian random noise to emulate real data. Several thoughts are listed regarding the future applications of this research in practice.

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References

1.
Mikhail, E. M. (1970a). “Parameter constraints in least squares.”Photogrammetric Engrg., XXXVI(12), 1277–1291.
2.
Mikhail, E. M. (1970b). “Use of relative control information in analytical extraterrestrial photogrammetry.”Photogrammetric Engrg., XXXVI(4), 381–389.
3.
Mikhail, E. M. (1976). Observations and least squares. University Press of America, Lanham, Md.
4.
Mikhail, E. M. (1993). Linear features for photogrammetric restitution and object completion. SPIE, Int. Soc. for Optical Engrg., Bellingham, Wash.
5.
Mikhail, E. M., and Paderes, F. C. (1990). “Photogrammetric reduction of automatically extracted linear features to three dimensional models.”Tech. Rep. No. CE-PH-90-3, Purdue Univ., West Lafayette, Ind.
6.
Mikhail, E. M., and Weerawong, K. (1994). “Feature-based photogrammetric object construction.”Proc., Am. Soc. for Photogrammetry and Remote Sensing Annu. Convention, ASPRS, Bethesda, Md., I, 403–417.
7.
Mulawa, D. C., and Mikhail, E. M. (1988). “Photogrammetric treatment of linear features.”ISPRS 16th Congr., Commission III, 27(part B10), 383–393, Int. Soc. for Photogrammetry and Remote Sensing, Elsevier, Amsterdam, The Netherlands.
8.
Paderes, F. C., Mikhail, E. M., and Förstner, W. (1984). “Rectification of single and multiple frames of satellite scanner imagery using points and edges as control.”Proc., 2nd Annu. NASA Symp. on Math. Pattern Recognition and Image Analysis, NASA/Johnson Space Ctr., Houston, 309–400.
9.
Sayed, A. N., and Mikhail, E. M. (1990). “Extraction and photogrammetric exploitation of features in digital images.”Tech. Rep. No. CE-PH-90-7, Purdue Univ., West Lafayette, Ind.
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Weerawong, K. (1995). “Exploitation of linear features for object reconstruction in digital photogrammetric systems,” PhD dissertation, Purdue Univ., West Lafayette, Ind.

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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 123Issue 1February 1997
Pages: 32 - 47

History

Published online: Feb 1, 1997
Published in print: Feb 1997

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Authors

Affiliations

Edward M. Mikhail
Head, Surv. Engrg., Purdue Univ., 1284 Civ. Engrg. Build., West Lafayette, IN 47907-1284.
Kanok Weerawong
Captain, Royal Thai Army, and Sys. Engr., Cartographic Information Ctr., Royal Thai Survey Dept., Bangkok, Thailand.

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