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Multi-View Reconstruction for Weakly-Supported Surfaces: CVPR 2011 Insights

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This paper addresses the challenge of reconstructing surfaces in 3D point clouds that lack support, such as low-textured walls and windows. The authors, Michael Jancosek and Tomas Padjla, propose a robust and efficient algorithm that involves Delaunay triangulation of the point cloud combined with visual information from cameras. By utilizing a directed graph to manage tetrahedrons, the method discovers s-t cutsets that accurately represent surfaces. The paper discusses results and implications of their findings on weakly-supported surfaces and the performance of reconstruction techniques.

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Multi-View Reconstruction for Weakly-Supported Surfaces: CVPR 2011 Insights

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  1. CSE590 V : Multi-View Reconstruction AvanishKushal

  2. Multi-View Reconstruction Preserving Weakly-Supported Surfaces [CVPR 2011] Michael Jancosek Tomas Padjla

  3. Motivation • Reconstruct Surfaces that do not have support in the input 3d point cloud (low textured walls, windows)

  4. Robust and Efficient surface reconstruction from range-data[CGF- 09] P. Labatut J. P. Pons R. Keriven

  5. Problem Definition • Reconstruct a surface from a set of merged scans (noisy and outliers)

  6. Related Work • 2 Primary Themes • Implicit Surfaces (Poisson Surface Reconstruction) • Delaunay Methods

  7. Algorithm • Perform a Delaunay Triangulation/Tetrahedralizationof the 3d point cloud+ cameras/sensors.

  8. Algorithm • Perform a Delaunay Triangulation/Tetrahedralizationof the 3d point cloud+ cameras/sensors.

  9. Algorithm • Construct adirected graph • Each tetrahedron is a vertex

  10. Algorithm • Construct a directed graph • Each tetrahedron is a vertex

  11. Algorithm • Construct a directed graph • Each tetrahedron is a vertex

  12. Algorithm • Find an s-t cutset of the directed graph • An additional s & t vertex

  13. Algorithm • Find an s-t cutset of the directed graph • The s-t cutset gives the surface

  14. Formulation : Visibility Information from points, cameras. : Quality of reconstructed surface in terms of size of triangles.

  15. Surface Visibility

  16. Results

  17. Multi-View Reconstruction Preserving Weakly-Supported Surfaces[CVPR 2011] Michael Jancosek Tomas Padjla

  18. Problem Definition • Reconstruct Surfaces that do not have support in the input 3d point cloud (low textured walls, windows) Input Image Point Cloud Reconstructed Surface using CFG 09

  19. Weakly Supported Surfaces

  20. Key Claim • Large Jump in Free Space Support as we go from outside to inside. • Even true for weakly supported surfaces.

  21. Weakly Supported Surfaces • Ws = 9 ( 3 * 3)

  22. Weakly Supported Surfaces • Wt = 3 ( 1 * 3)

  23. Weakly Supported Surfaces • Ws > Wt -> creates wrong cut.

  24. Old t-weights

  25. Modified Weights

  26. Performance

  27. Results INPUT IMAGE POINT CLOUD CFG-09 OUR METHOD

  28. Results INPUT IMAGE POINT CLOUD CFG-09 OUR METHOD

  29. Results INPUT IMAGE POINT CLOUD CGF-09 OUR METHOD

  30. Discussion • How good is the claim about free space jumps ? • What should be the multiplication term ?

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