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Inferring Planar Patch Equations from Sparse View Stereo Images

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Advances in Visual Computing (ISVC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6454))

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Abstract

This paper presents an approach to derive the equations of planar patches given a stereo pair of wide baseline or sparse view images. The algorithm starts by detecting junctions in both images using the so-called JUDOCA operator. A transformation matrix can be estimated using the junction attributes. In addition, a rough estimate for the fundamental matrix can be obtained to guide a matching process between the two views. Triangulation is used to reconstruct the locations of 2-edge junctions in space as well as to obtain the equations of 3D lines forming the junctions. This is done by obtaining four planes going through the projections of the junction edges and the optical centers. The equations of the 3D lines are used to get the equation of the plane of the junction.

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References

  1. Kanazawa, Y., Uemura, K.: Wide Baseline Matching using Triplet Vector Descriptor. In: Proc. BMVC, Edinburgh, UK, vol. I, pp. 267–276 (2006)

    Google Scholar 

  2. Bay, H., Ferrari, V., Gool, L.V.: Wide-Baseline Stereo Matching with Line Segments. In: Proc. CVPR, San Diego, CA, USA, vol. 1, pp. 329–336 (2005)

    Google Scholar 

  3. Lowe, D.: Object recognition from local scale invariant features. In: Proc. ICCV, Kerkyra, Greece, vol. 2, pp. 1150–1157 (1999)

    Google Scholar 

  4. Andreasson, H., Treptow, A., Duckett, T.: Localization for mobile robots using panoramic vision, local features and particle filters. In: Proc. ICRA, Barcelona, Spain, pp. 3348–3353 (2005)

    Google Scholar 

  5. Tuytelaars, T., Gool, L.V.: Matching Widely Separated Views based on Affine Invariant Regions. IJCV 59, 61–85 (2004)

    Article  Google Scholar 

  6. Elias, R.: Wide baseline matching through homographic transformation. In: Proc. ICPR, Washington, DC, USA, vol. 4, pp. 130–133. IEEE Computer Society Press, Los Alamitos (2004)

    Google Scholar 

  7. Laganière, R., Elias, R.: The Detection of Junction Features in Images. In: Proc. ICASSP, Montréal, Québec, Canada, vol. III, pp. 573–576. IEEE, Los Alamitos (2004)

    Google Scholar 

  8. Elias, R.: Modeling of Enivornments: From Sparse Views to Obstacle Reconstruction. LAP Lambert Academic Publishing, Germany (2009) ISBN: 3838322207

    Google Scholar 

  9. Hartley, R.I., Zisserman, A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge University Press, Cambridge (2004) ISBN: 0521540518

    Book  MATH  Google Scholar 

  10. Elias, R.: Geometric modeling in computer vision: An introduction to projective geometry. In: Wah, B. (ed.) Wiley Encyclopedia of Computer Science and Engineering, vol. 3, pp. 1400–1416. John Wiley & Sons, Inc., Chichester (2008)

    Google Scholar 

  11. Laganière, R., Labonté, F.: Stereokineopsis: A survey. Technical Report CRPR-RT-9603, École Polytechnique de Montréal, Groupe de Recherche en Perception et Robotique (1996)

    Google Scholar 

  12. Beardsley, P., Zisserman, A., Murray, D.: Sequential update of projective and affine structure from motion. IJCV 23, 235–259 (1997)

    Article  Google Scholar 

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Elias, R. (2010). Inferring Planar Patch Equations from Sparse View Stereo Images. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2010. Lecture Notes in Computer Science, vol 6454. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17274-8_16

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  • DOI: https://doi.org/10.1007/978-3-642-17274-8_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17273-1

  • Online ISBN: 978-3-642-17274-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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