1. 3D Scene Models 6.870 Object recognition and scene understanding Krista Ehinger

2. Questions What makes a good 3D scene model? How accurate does it need to be? How far can you get with automatic surface detection? Where do you need human input?

3. Modelling the scene Real scenes have way too many surfaces

4. Modelling the scene Option 1: Diorama world

5. Tour Into the Picture (TIP)‏ Model the scene as 5 planes + foreground objects Easy implementation: planes/objects defined by humans Y. Horry, K.I. Anjyo and K. Arai. "Tour Into the Picture: Using a spidery mesh user interface to make animation from a single image". ACM SIGGRAPH 1997

6. TIP Implementation User defines vanishing point, rear wall of the scene (inner rectangle)‏ Given some assumptions about the camera, position/size of all planes can be computed... Y. Horry, K.I. Anjyo and K. Arai. "Tour Into the Picture: Using a spidery mesh user interface to make animation from a single image". ACM SIGGRAPH 1997

7. Defining the box Define planes: Floor -> y=0, Ceiling -> y=H Given horizon (vanishing point), corners of floor, ceiling can be computed from 2D image position Y. Horry, K.I. Anjyo and K. Arai. "Tour Into the Picture: Using a spidery mesh user interface to make animation from a single image". ACM SIGGRAPH 1997

8. Defining the box Once the positions of the planes are known, compute the texture of the planes Y. Horry, K.I. Anjyo and K. Arai. "Tour Into the Picture: Using a spidery mesh user interface to make animation from a single image". ACM SIGGRAPH 1997

9. What about foreground objects? Assume a quadrangle attached to floor, compute attachment points, upper points Hierarchical model of foreground objects Y. Horry, K.I. Anjyo and K. Arai. "Tour Into the Picture: Using a spidery mesh user interface to make animation from a single image". ACM SIGGRAPH 1997

10. Extracting foreground objects Foreground objects removed, added to mask Holes in background filled in using photo completion software Y. Horry, K.I. Anjyo and K. Arai. "Tour Into the Picture: Using a spidery mesh user interface to make animation from a single image". ACM SIGGRAPH 1997

11. TIP Demonstration

12. TIP Discussion Pros:  Accurate model (due to human input)‏  Deals with foreground objects, occlusions Cons:  Requires human input, not automatic  Model too simple for many real-world scenes

13. Modelling the scene Option 2: Pop-up book world

14. Automatic Photo Pop-Up Three classes of surface: ground, sky, vertical Not just a box: can model more kinds of scenes Automatic classification, no labeling D. Hoiem, A.A. Efros, and M. Hebert, "Automatic Photo Pop-up", ACM SIGGRAPH 2005.

15. Photo Pop-Up Implementation Pixels -> superpixels -> constellations Automatic labeling of constellations as ground, vertical, or sky Define angles of vertical planes (using attachment to ground)‏ Map textures to vertical planes (as in TIP)‏ D. Hoiem, A.A. Efros, and M. Hebert, "Automatic Photo Pop-up", ACM SIGGRAPH 2005.

16. Superpixels, constellations Superpixels are neighboring pixels that have nearly the same color (Tao et al, 2001)‏ Superpixels assigned to constellations according to how likely they are to share a label (ground, vertical, sky) based on difference between feature vectors

17. Feature vectors Color features: RGB, hue, saturation Texture features: Difference of oriented Gaussians, Textons Location (absolute and percentile)‏ N superpixels in constellation Line and intersection detectors Not used: constellation shape (contiguous, N sides), some texture features

18. Training process For each of 82 labeled training images  Compute superpixels, features, pairwise likelihoods  Form a set of N constellations (N = 3 to 25), each labeled with ground truth  Compute constellation features Compute constellation label, homogeneity likelihood:

19. Training process Adaboost weak classifiers learn to estimate whether superpixels have same label (based on feature vector)‏ Another set of Adaboost week classifiers learns constellation label, homogeneity likelihood (expressed as percent ground, vertical, sky, mixed)‏ Emphasis on classifying larger constellations

20. Building the 3D model Along vertical/ground boundary, fit line segments (Hough transform) – goal is to find simplest shape (fewest lines)‏ Project lines up from corners of boundary lines, cut and fold D. Hoiem, A.A. Efros, and M. Hebert, "Automatic Photo Pop-up", ACM SIGGRAPH 2005.

21. Photo Pop-Up Demonstration D. Hoiem, A.A. Efros, and M. Hebert, "Automatic Photo Pop-up", ACM SIGGRAPH 2005.

22. Photo Pop-Up Discussion Pros:  Automatic  Can handle a variety of scenes, not just boxes Cons:  No handling of foreground objects  Misclassification leads to very strange models  Only 2 kinds of surface: ground, vertical D. Hoiem, A.A. Efros, and M. Hebert, "Automatic Photo Pop-up", ACM SIGGRAPH 2005.

23. Modelling the scene Option 3: Actually try to model surface angles

24. 3D Scene Structure from Still Image Compute surface normal for each surface No right-angle assumptions; surfaces can have any angle Automatic (trained on images with known depth maps)‏

25. 3D Scene Implementation Segment image into superpixels Estimate surface normal of each superpixel (using Markov Random Field model)‏ Optional: Detect and extract foreground objects Map textures to planes Original imageModeled depth map A. Saxena, M. Sun, A. Y. Ng. "Learning 3-D Scene Structure from a Single Still Image". In ICCV workshop on 3D Representation for Recognition (3dRR-07), 2007

26. Image features Superpixel features (xi)‏  Color and texture features as in Photo Pop-Up  Vector also includes features of neighboring superpixels Boundary features (xij)‏  Color difference, texture difference, edge detector

27. Markov Random Field Model First term: model planes in terms of image features of superpixels Second term: model planes in terms of pairs of superpixels, with constraints... A. Saxena, M. Sun, A. Y. Ng. "Learning 3-D Scene Structure from a Single Still Image". In ICCV workshop on 3D Representation for Recognition (3dRR-07), 2007

28. Model constraints Connected structure: except where there is an occlusion, neighboring superpixels are likely to be connected Coplanar structure: except where there are folds, neighboring superpixels are likely to lie on the same plane Co-linearity: long straight lines in the image correspond to straight lines in 3D

29. Foreground objects Automatically-detected foreground objects may be removed from model (for example: pedestrians, using Dalal & Triggs detector)‏ Detected objects add 3D cues (pedestrians are basically vertical, occlude other surfaces)‏

30. 3D Scene Demonstration

31. Results A. Saxena, M. Sun, A. Y. Ng. "Learning 3-D Scene Structure from a Single Still Image". In ICCV workshop on 3D Representation for Recognition (3dRR-07), 2007

32. 3D Scene Discussion Pros:  Handles a variety of scene types  Fairly accurate (about 2/3 of scenes correct)‏  Automatic  Handles foreground objects Cons:  Still fails on 1/3 of scenes

33. Discussion Simple 3D models are adequate for many scenes You can get pretty far without human input (but still would be better results with human annotation of scenes) Extensions?  Use photo completion techniques to handle occlusions?  Massive training sets -> better 3D models?