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Vol. 95, Issue 8, August 2008, pp.134-145




Photogrammetric Resection Approach Using Straight Line Features for Estimation

of Cartosat-1 Platform Parameters


Nita H. Shah1, B. Islam2 and B. Gopala Kristina3

2,3 Space Applications Centre, ISRO, Ahmedabad 380 015, India

1 Department of Mathematics, Gujarat University Ahmedabad 380 009

Gujarat, India

E-mail: nitahshah@gmail.com



Received: 28 June 2008   /Accepted: 15 August 2008   /Published: 25 August 2008


Abstract: The classical calibration or space resection is the fundamental task in photogrammetry. The lack of sufficient knowledge of interior and exterior orientation parameters lead to unreliable results in the photogrammetric process. There are several other available methods using lines, which consider the determination of exterior orientation parameters, with no mention to the simultaneous determination of inner orientation parameters. Normal space resection methods solve the problem using control points, whose coordinates are known both in image and object reference systems. The non-linearity of the model and the problems, in point location in digital images are the main drawbacks of the classical approaches. The line based approach to overcome these problems includes usage of lines in the number of observations that can be provided, which improve significantly the overall system redundancy. This paper addresses mathematical model relating to both image and object reference system for solving the space resection problem which is generally used for upgrading the exterior orientation parameters. In order to solve the dynamic camera calibration parameters, a sequential estimator (Kalman Filtering) is applied; in an iterative process to the image. For dynamic case, e.g. an image sequence of moving objects, a state prediction and a covariance matrix for the next instant is obtained using the available estimates and the system model. Filtered state estimates can be computed from these predicted estimates using the Kalman Filtering approach and basic physical sensor model for each instant of time. The proposed approach is tested with three real data sets and the result suggests that highly accurate space resection parameters can be obtained with or without using the control points and progressive processing time reduction.


Keywords: Cartosat-1, GCPs, Space Resection, Kalman Filter, St.line equation of normal to 2D & 3D plane


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