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# On the illumination invariance of the level lines under directed light. Application to change detection.

1 ARIANA - Inverse problems in earth monitoring
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - SIS - Signal, Images et Systèmes
Abstract : We analyze the illumination invariance of the level lines of an image. We show that if the scene surface has Lambertian reflectance and the light is directed, then a necessary condition for the level lines to be illumination invariant is that the 3D scene be developable and that its albedo satisfies some geometrical constraints. We then show that the level lines are almost'' invariant for piecewise developable surfaces. Such surfaces fit most of the urban structures. In a second part, this allows us to devise a very fast algorithm that detects changes between pairs of remotely sensed images of urban areas, independently of the lighting conditions. We show the effectiveness of the algorithm both on synthetic OpenGL scenes and real Quickbird images. We compare the efficiency of the proposed algorithm with other classical approaches and show that it is superior both in practice and in theory.
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Cited literature [38 references]

https://hal.inria.fr/inria-00310383
Contributor : Pierre Weiss Connect in order to contact the contributor
Submitted on : Friday, August 8, 2008 - 2:40:40 PM
Last modification on : Sunday, May 1, 2022 - 3:14:37 AM
Long-term archiving on: : Friday, October 5, 2012 - 11:39:37 AM

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RR-6612.pdf
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• HAL Id : inria-00310383, version 1

### Citation

Pierre Weiss, Alexandre Fournier, Laure Blanc-Féraud, Gilles Aubert. On the illumination invariance of the level lines under directed light. Application to change detection.. [Research Report] RR-6612, INRIA. 2008, pp.36. ⟨inria-00310383⟩

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