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» Shape Analysis of Elastic Curves in Euclidean Spaces
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ACCV
2006
Springer
13 years 11 months ago
Statistical Shape Models Using Elastic-String Representations
Abstract. To develop statistical models for shapes, we utilize an elastic string representation where curves (denoting shapes) can bend and locally stretch (or compress) to optimal...
Anuj Srivastava, Aastha Jain, Shantanu H. Joshi, D...
NIPS
2003
13 years 7 months ago
A Computational Geometric Approach to Shape Analysis in Images
We present a geometric approach to statistical shape analysis of closed curves in images. The basic idea is to specify a space of closed curves satisfying given constraints, and e...
Anuj Srivastava, Xiuwen Liu, Washington Mio, Eric ...
CVPR
2003
IEEE
14 years 7 months ago
Statistics of Shape via Principal Geodesic Analysis on Lie Groups
Principal component analysis has proven to be useful for understanding geometric variability in populations of parameterized objects. The statistical framework is well understood ...
P. Thomas Fletcher, Conglin Lu, Sarang C. Joshi
IPMI
2003
Springer
14 years 6 months ago
Gaussian Distributions on Lie Groups and Their Application to Statistical Shape Analysis
The Gaussian distribution is the basis for many methods used in the statistical analysis of shape. One such method is principal component analysis, which has proven to be a powerfu...
P. Thomas Fletcher, Sarang C. Joshi, Conglin Lu, S...
SIAMCO
2000
137views more  SIAMCO 2000»
13 years 5 months ago
On a Class of Diffeomorphic Matching Problems in One Dimension
We study a class of functional which can be used for matching objects which can be represented as mappings from a fixed interval, I, to some "feature space." This class o...
Alain Trouvé, Laurent Younes