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  1. International Journal of Computer Vision
  2. International Journal of Computer Vision : Volume 73
  3. International Journal of Computer Vision : Volume 73, Issue 3, July 2007
  4. On Shape of Plane Elastic Curves
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International Journal of Computer Vision : Volume 123
International Journal of Computer Vision : Volume 122
International Journal of Computer Vision : Volume 121
International Journal of Computer Vision : Volume 120
International Journal of Computer Vision : Volume 119
International Journal of Computer Vision : Volume 118
International Journal of Computer Vision : Volume 117
International Journal of Computer Vision : Volume 116
International Journal of Computer Vision : Volume 115
International Journal of Computer Vision : Volume 114
International Journal of Computer Vision : Volume 113
International Journal of Computer Vision : Volume 112
International Journal of Computer Vision : Volume 111
International Journal of Computer Vision : Volume 110
International Journal of Computer Vision : Volume 109
International Journal of Computer Vision : Volume 108
International Journal of Computer Vision : Volume 107
International Journal of Computer Vision : Volume 106
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International Journal of Computer Vision : Volume 104
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International Journal of Computer Vision : Volume 96
International Journal of Computer Vision : Volume 95
International Journal of Computer Vision : Volume 94
International Journal of Computer Vision : Volume 93
International Journal of Computer Vision : Volume 92
International Journal of Computer Vision : Volume 91
International Journal of Computer Vision : Volume 90
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International Journal of Computer Vision : Volume 87
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International Journal of Computer Vision : Volume 79
International Journal of Computer Vision : Volume 78
International Journal of Computer Vision : Volume 77
International Journal of Computer Vision : Volume 76
International Journal of Computer Vision : Volume 75
International Journal of Computer Vision : Volume 74
International Journal of Computer Vision : Volume 73
International Journal of Computer Vision : Volume 73, Issue 3, July 2007
Three-Dimensional Shape Knowledge for Joint Image Segmentation and Pose Tracking
Evaluation of Features Detectors and Descriptors based on 3D Objects
Human Pose Estimation Using Partial Configurations and Probabilistic Regions
On Shape of Plane Elastic Curves
Generalized Gradients: Priors on Minimization Flows
Sobolev Active Contours
International Journal of Computer Vision : Volume 73, Issue 2, June 2007
International Journal of Computer Vision : Volume 73, Issue 1, June 2007
International Journal of Computer Vision : Volume 72
International Journal of Computer Vision : Volume 71
International Journal of Computer Vision : Volume 70
International Journal of Computer Vision : Volume 69
International Journal of Computer Vision : Volume 68
International Journal of Computer Vision : Volume 67
International Journal of Computer Vision : Volume 66
International Journal of Computer Vision : Volume 65
International Journal of Computer Vision : Volume 64
International Journal of Computer Vision : Volume 63
International Journal of Computer Vision : Volume 62
International Journal of Computer Vision : Volume 61
International Journal of Computer Vision : Volume 60
International Journal of Computer Vision : Volume 59
International Journal of Computer Vision : Volume 58
International Journal of Computer Vision : Volume 57
International Journal of Computer Vision : Volume 56
International Journal of Computer Vision : Volume 55
International Journal of Computer Vision : Volume 54
International Journal of Computer Vision : Volume 53
International Journal of Computer Vision : Volume 52
International Journal of Computer Vision : Volume 51
International Journal of Computer Vision : Volume 50
International Journal of Computer Vision : Volume 49
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International Journal of Computer Vision : Volume 47
International Journal of Computer Vision : Volume 46
International Journal of Computer Vision : Volume 45
International Journal of Computer Vision : Volume 44
International Journal of Computer Vision : Volume 43
International Journal of Computer Vision : Volume 42
International Journal of Computer Vision : Volume 41
International Journal of Computer Vision : Volume 40
International Journal of Computer Vision : Volume 39
International Journal of Computer Vision : Volume 38
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International Journal of Computer Vision : Volume 31
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International Journal of Computer Vision : Volume 27
International Journal of Computer Vision : Volume 26
International Journal of Computer Vision : Volume 25
International Journal of Computer Vision : Volume 24
International Journal of Computer Vision : Volume 23
International Journal of Computer Vision : Volume 22
International Journal of Computer Vision : Volume 21

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On Shape of Plane Elastic Curves

Content Provider SpringerLink
Author Mio, Washington Srivastava, Anuj Joshi, Shantanu
Copyright Year 2006
Abstract We study shapes of planar arcs and closed contours modeled on elastic curves obtained by bending, stretching or compressing line segments non-uniformly along their extensions. Shapes are represented as elements of a quotient space of curves obtained by identifying those that differ by shape-preserving transformations. The elastic properties of the curves are encoded in Riemannian metrics on these spaces. Geodesics in shape spaces are used to quantify shape divergence and to develop morphing techniques. The shape spaces and metrics constructed are novel and offer an environment for the study of shape statistics. Elasticity leads to shape correspondences and deformations that are more natural and intuitive than those obtained in several existing models. Applications of shape geodesics to the definition and calculation of mean shapes and to the development of shape clustering techniques are also investigated.
Starting Page 307
Ending Page 324
Page Count 18
File Format PDF
ISSN 09205691
Journal International Journal of Computer Vision
Volume Number 73
Issue Number 3
e-ISSN 15731405
Language English
Publisher Kluwer Academic Publishers
Publisher Date 2006-09-25
Publisher Place Boston
Access Restriction Subscribed
Subject Keyword planar shapes shape geodesics mean shape shape analysis clustering shapes Artificial Intelligence (incl. Robotics) Computer Imaging, Vision, Pattern Recognition and Graphics Image Processing and Computer Vision Pattern Recognition
Content Type Text
Resource Type Article
Subject Software Computer Vision and Pattern Recognition Artificial Intelligence
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