Object, world and scene representations

A part of the CVonline computer vision resource summarizing the different object, world and scene representations commonly encountered in computer vision and image processing.
  1. Full object representations
    1. Flat
    2. Hierarchical, by parts, structural decomposition, subcomponent representation
    3. 3D object representations
  2. Functional representations
  3. Geometric representation of model features
    1. CAD representations
    2. Curve representations
      1. Chain codes
      2. Circles
      3. Conics
      4. Methods of contour integration
      5. Crack codes
      6. Curvature primal sketch
      7. Curvature scale space
      8. Cross section functions
      9. Edgelet, Contourlet
      10. Ellipse representations
      11. Intrinsic equations
      12. Line representations
      13. Line moments
      14. Phi-S curves, tangent angle functions
      15. Polyline, Polycurves, Polygonal approximations
      16. Radius vector functions
      17. Signatures
      18. Active contour models/Snakes
        1. Gradient Flow Vector (GFV) snakes
        2. Ziplock snakes
      19. Spline Representation
      20. Superellipse representations
      21. Supershapes
      22. Support functions
      23. Torsion of a curve
      24. Torsion scale space
      25. Wavelet descriptors
      26. Width functions
    3. Geometric representation of model features/Points
      1. Symplectic geometry
      2. Local scale descriptions
      3. Point distribution models
      4. Non-linear point distributions
      5. Surflet
    4. Region representations
      1. Convex hull
      2. Region cross section functions
      3. Delaunay triangulation/Voronoi diagrams
      4. Grey-level distribution models
        1. Moments
        2. Occupancy grids
        3. Polygon mesh
        4. Trees
          1. Octrees
          2. Quadtrees
      5. Surface representations
        1. Algebraic point set surfaces
        2. Conformal mapping
        3. Local point/patch representations
        4. Mean and Gaussian curvature
        5. Rubbersheeting
        6. Thin plate splines
        7. Algebraic topology
        8. Planar patches/faces, Edges, Vertices, Boundary representations
        9. Principal curvature sign classes
        10. Bézier surface
        11. Sparse grid
        12. Spherical images
        13. Subdivision surface
        14. B-spline
        15. Surface triangulation, Surface meshes
      6. Object centered representations
        1. Generalized cones
        2. Geon structural description
      7. Objects/Volume representations
        1. 3D skeletons
        2. Aspect graph matching
        3. Balloons
        4. Constructive solid geometry
        5. Set-theoretic modeling
        6. Spheres
          1. Surfaces of constant Gaussian curvature
          2. Schwarzschild coordinates
        7. Extended Gaussian Images
        8. Generalized cylinders
        9. Cones
        10. Medial surfaces
        11. Quadrics
        12. Hyperquadrics
        13. Superquadrics
        14. Shape histogram
          1. Local Energy-based Shape Histogram (LESH)
        15. Spin images
          1. Spherical spin images
        16. Spherical harmonics
        17. Supershapes
        18. Boundary representation
        19. Tetrahedral representations
        20. Volumetric frequency
        21. Voxels, Octrees
        22. Wire-frame representations
    5. Logical and symbolic representations
      1. Frames
      2. Knowledge representation
        1. Description logic
        2. KRL
      3. Predicate calculus
        1. Predicate logic
        2. First-order logic
      4. Relational model
      5. Semantic nets
    6. Multi-scale representation approaches
      1. Fractals
      2. Scale space
      3. Wavelets
    7. Non-rigid model representations
      1. Active appearance models
      2. Active shape models
      3. Implicit shape models
      4. Point distribution models
      5. Deformable shapes
        1. Active contour models
        2. Deformable surfaces
        3. Deformable volumes
      6. Structural rigidity
      7. Time-varying meshes
    8. Non-symbolic representations
      1. Eigenspace representations
      2. Interest points
      3. Intrinsic images
      4. Light fields, Image-based modeling and rendering
    9. Procedural representations
      1. Production rule representations
      2. Visual routines
    10. Shape classes/Shape families
    11. Temporal representations
      1. Short-term activity representations
        1. Motion history/Energy models
        2. Volume motion templates
      2. Long-term activity representations
        1. Global representations
          1. Hidden Markov models/Finite state models
          2. Target trajectory models
    12. Types of models
      1. Active appearance models
      2. Color appearance models
      3. Geometric models
      4. Graph models
        1. Exponential random graph models
      5. Relational models
    13. Viewer centered representations, Viewpoint-dependent representations
      1. Iconic image models
      2. Aspects/characteristic views
      3. Tesselated viewsphere approximations
        1. Geodesic domes
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