# UCL Discovery

## The construction of images using multi-view affine relationships

Kennedy, Dawn; (2004) The construction of images using multi-view affine relationships. Doctoral thesis , UCL (University College London).

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## Abstract

In this thesis we give a method of synthesising novel views using only existing views and a set of corresponding points across those views. The method described is based on the assumption that the images have been obtained under affine imaging conditions. This has the advantage that the mathematics needed is simpler than in the perspective case but still allows us to synthesise realistic views. We explore the multiview relationships that exist between corresponding points in three affine images. It is shown that, by careful consideration of where the measurement errors occur, it is possible to improve the accuracy of these multi-view relationships by solving a total least squares problem. We demonstrate how the affine multi-view relationships can be used to encode and accurately reconstruct existing views as a linear combination of two (or more) basis views. In order to synthesise completely novel views it is necessary to parameterise either the multi-view relationships or the positions of the control points in each of the views. We describe a method that can be used to parameterise either the control points or the co-efficients of the affine multi-view relationships. The parameterisation method uses a set of sample views to parameterise the control points (or the multiview relationships) in terms of two parameters. These two parameters can then be varied and used to determine the positions of the control points in novel views. Once the positions of the control points in the novel view are known it is possible to render the image using a combination of the intensities in each of the basis views. The method used to parameterise the existing views allows us to both interpolate between the views and also to extrapolate away from the views. We would expect the quality of the synthesised view to deteriorate as the novel view is extrapolated away from the original set of images. In this thesis we discuss the possibility of using the structure within the total least squares solution combined with the parameterisation described above to determine a limit of extrapolation.

Type: Thesis (Doctoral) The construction of images using multi-view affine relationships PQ ETD:602807 An open access version is available from UCL Discovery English Thesis digitised by ProQuest. Third party copyright material has been removed from the ethesis. Images identifying individuals have been redacted or partially redacted to protect their identity. http://discovery.ucl.ac.uk/id/eprint/1446865

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