A method for reconstruction of 3D rational B-spline surfaces from multiple views is proposed. Given corresponding features in multiple views, though not necessarily visible in all views, the surface is reconstructed. First 2D B-spline patches are fitted to each view. The 3D B-splines and projection matricies can then be extracted from the 2D B-splines using factorization methods. The surface fit is then further refined via an iterative procedure. Finally, a hierarchal fitting scheme is proposed to allow modeling of complex surfaces by means of knot insertion. Experiments with real imagery demonstrate the efficacy of the approach. 1 Introduction and Related Work Recovering models from multiple views is an area
|
1235
|
Multiple view geometry in computer vision
– Hartley, Zisserman
- 2003
|
|
639
|
Shape and motion from image streams under ortography: a factorization approach
– Tomasi, Kanade
- 1992
|
|
198
|
Recursive estimation of motion, structure, and focal length
– Azarbayejani, Pentland
- 1995
|
|
181
|
3D model acquisition from extended image sequences
– Beardsley, Torr, et al.
- 1996
|
|
167
|
Surface Modeling with Oriented Particle Systems
– Szeliski, Tonneson
- 1992
|
|
163
|
Kalman filterbased algorithms for estimating depth from image sequences
– Matthies, Kanade, et al.
- 1989
|
|
157
|
Auto-calibration and the absolute quadric
– Triggs
- 1997
|
|
155
|
Bundle adjustment: A modern synthesis
– Triggs, McLauchlan, et al.
- 2000
|
|
152
|
A factorization based algorithm for multi-image projective structure and motion
– Sturm, Triggs
- 1996
|
|
109
|
Automatic Reconstruction of B-Spline Surfaces of Arbitrary Topological Type
– Eck, Hoppe
- 1996
|
|
106
|
Hierarchical spline-based image registration
– Szeliski, Coughlan
- 1994
|
|
94
|
Motion and structure from motion in a piecewise planar environment
– Faugeras, Lustman
- 1988
|
|
72
|
Recursive 3-D motion estimation from a monocular sequence
– Broida, Chandrashekhar, et al.
- 1990
|
|
68
|
Computer Methods for Mathematical Computations
– Forsythe, Moler
- 1977
|
|
54
|
Active Contours: The Application of Techniques from Graphics,Vision,Control Theory and Statistics to Visual Tracking of Shapes in Motion
– Blake, Isard
- 1998
|
|
51
|
From Multiple Stereo Views to Multiple 3D Surfaces
– Fua
- 1997
|
|
46
|
Motion estimation with quadtree splines
– Szeliski, Shum
- 1996
|
|
42
|
Geometrically Constrained Structure from Motion
– Szeliski, Torr
- 1998
|
|
41
|
Automatic Reconstruction of Piecewise Planar Models from Multiple Views
– Baillard, Zisserman
- 1999
|
|
29
|
Model-based bundle adjustment with application to face modeling
– Shan, Liu, et al.
|
|
20
|
The quadric reference surface: Theory and applications
– Shashua, Toelg
- 1997
|
|
20
|
Quantitative planar region detection
– Sinclair, Blake
- 1996
|
|
16
|
Taking Advantage of ImageBased and Geometry-Based Constraints to Revover 3-D Surfaces
– Fua, Leclerc
- 1996
|
|
16
|
Oriented particles: a tool for shape memory objects modeling. Graphics Interface '95
– Lambardo, C
- 1995
|
|
14
|
Stereo coupled active contours
– Cham, Cipolla
- 1997
|
|
14
|
Quadric surface reconstruction from dual-space geometry
– Cross, Zisserman
- 1998
|
|
14
|
Nurbs: From Projective Geometry to Practical Use
– Farin
- 1999
|
|
14
|
Recursive 3-d visual motion estimation using subspace constraints
– Soatto, Perona
- 1997
|
|
10
|
Recursive estimation of motion and planar structure
– Alon, Sclaroff
- 2000
|
|
9
|
Motion and structure from point correspondences with error estimation: Planar surfaces
– Weng, Huang, et al.
- 1991
|
|
2
|
Segmentation, matching and estimation of structure and motion of textured piecewise planar surfaces
– Sull, Ahuja
- 1991
|
|
1
|
Facet matching from an uncalibrated pair of images
– Theiler, Chabbi
- 1998
|