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GI
2009
Springer
13 years 5 months ago
The Differential Geometric View of Statistics and Estimation
: Statistics and estimation theory is enriched with techniques derived from differential geometry. This establishes the increasing topic of information geometry. This allows new in...
Felix Opitz
IMAMS
2007
108views Mathematics» more  IMAMS 2007»
13 years 9 months ago
Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines
We present C1 methods for either interpolating data or for fitting scattered data associated with a smooth function on a two-dimensional smooth manifold Ω embedded into R3 . The ...
Oleg Davydov, Larry L. Schumaker
IROS
2007
IEEE
144views Robotics» more  IROS 2007»
14 years 1 months ago
Bipedal walking on rough terrain using manifold control
— This paper presents an algorithm for adapting periodic behavior to gradual shifts in task parameters. Since learning optimal control in high dimensional domains is subject to t...
Tom Erez, William D. Smart
SMI
2005
IEEE
117views Image Analysis» more  SMI 2005»
14 years 1 months ago
Contouring 1- and 2-Manifolds in Arbitrary Dimensions
We propose an algorithm for contouring k-manifolds (k = 1, 2) embedded in an arbitrary n-dimensional space. We assume (n−k) geometric constraints are represented as polynomial e...
Joon-Kyung Seong, Gershon Elber, Myung-Soo Kim
AVBPA
2005
Springer
294views Biometrics» more  AVBPA 2005»
14 years 1 months ago
Face Detection Based on the Manifold
Data collection for both training and testing a classifier is a tedious but essential step towards face detection and recognition. It is a piece of cake to collect more than hundre...
Ruiping Wang, Jie Chen, Shengye Yan, Wen Gao