Estimation of error in curvature computation on multi-scale free-form surfaces

International Journal of Computer Vision

Volumn 48, Issue 2, 2002, Pages 131-149

  Mokhtarian, F ^a   Khalili, N ^a   Yuen, P ^a  

^a UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

Estimation error; Free form surfaces; Gaussian and mean curvatures; Local parametrisation; Multi scale description; Semigeodesic coordinates

Indexed keywords

COLOR IMAGE PROCESSING; COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; CONVOLUTION; DIGITAL FILTERS; ERROR ANALYSIS; IMAGE ENHANCEMENT; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; THREE DIMENSIONAL COMPUTER GRAPHICS;

CURVATURE ESTIMATION; ERROR ESTIMATION; GAUSSIAN FILTERS; LOCAL PARAMETRISATIONS; MEAN CURVATURES; MULTISCALE FREE FORM SURFACES; SEMIGEODESIC COORDINATES; VOLUMETRIC DIFFUSION TECHNIQUE;

OBJECT RECOGNITION;

EID: 0036647431     PISSN: 09205691     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016098907682     Document Type: Article

References (54)

1. Computation of surface geometry and segmentation using covariance techniques
2. The free-form surface matching problem
3. Three-dimensional object recognition
4. Invariant surface characteristics for 3D object recognition in range images
5. Parametrization of closed surfaces for 3-D shape description
6. A neural network approach to CSG-based 3-D object recognition
7. On isometric coordinates
8. Model-based recognition in robot vision
9. General object reconstruction based on simplex meshes
10. Shape representation and image segmentation using deformable surfaces
11. Implicit fairing of irregular meshes using diffusion and curvature flow
12. 3-D shape recovery using distributed aspect matching
13. The representation, recognition, and locating of 3-D objects
14. On reliable curvature estimation
15. Bonsai: 3-D object recognition using constrained search
16. Model-based recognition and localization from sparse range or tactile data
17. Marching triangles: Range image fusion for complex object modelling
18. Reliable surface reconstruction from multiple range images
19. Extended gaussian images
20. Evidence based recognition of 3-D objects
21. The complex egi, a new representation for 3-D pose determination
22. Describing complicated objects by implicit polynomials
23. Internal representation of solid shape with respect to vision
24. Dynamic shape
25. Orientation-based differential geometric representations for computer vision applications
26. Representation and recognition of surface shapes in range images: A differential geometry approach
27. A theory of multi-scale, torsion-based shape representation for space curves
28. Multi-scale 3-D free-form surface smoothing
29. Free-form 3-D object recognition at multiple scales
30. Multi-scale free-form 3D object recognition using 3D models
31. A theory of multi-scale, curvature-based shape representation for planar curves
32. Visual learning and recognition of 3-D objects from appearance
33. Perceptual organisation and the representation of natural form
34. Recognition of geons by parametric deformable contour models
35. Representations and algorithms for 3-D curved object recognition
36. Obtaining generic parts from range images using a multi-view representation
37. Adaptive 3-D object recognition from multiple views
38. Range image analysis
39. Recovery of parametric models from range images: The case for superquadrics with global deformations
40. Generalized cylinders from serial sections
41. Structural indexing: Efficient 3-D object recognition
42. Reconstruction of smooth surfaces with arbitrary topology adaptive splines
43. Computational strategies for object recognition
44. The self-organising hierarchical optimal subspace learning and inference framework for object recognition
45. Curve and surface smoothing without shrinkage
46. Multi-scale 3-D surface description: Open and closed surfaces