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Passive Three Dimensional Face Recognition Using Iso-Geodesic Contours and Procrustes Analysis

Sina Jahanbin, Rana Jahanbin, Alan C. Bovik
2013 International Journal of Computer Vision  
Iso-geodesic contours are inherently robust to head pose variations, including in-depth rotations of the face.  ...  The facial contours are encoded using innovative pose invariant features, including Procrustean distances defined on pose-invariant curves.  ...  Kenneth Castleman, ADIR, and IRIS International for not only providing the Texas 3-D Face Recognition Database of facial range and portrait images, but also for assisting the research financially.  ... 
doi:10.1007/s11263-013-0631-2 fatcat:gj4cnkkdpncjpl3oj57fv7jwye

Landmark-Based Registration Using Features Identified Through Differential Geometry [chapter]

Xavier Pennec, Nicholas Ayache, Jean-Philippe Thirion
2000 Handbook of Medical Imaging  
An alternative approach was presented in [17] with the use of a B-spline approximation of the surface.  ...  Features Extraction: Extremal Points and Lines To extract reliable curves on a surface, most approaches try to generalize the notion of "edges" to smooth surfaces to find the most salient features on the  ...  Acknowledgments The authors wish to thank the whole epidaure team and particularly their colleagues (or ex-colleagues) who worked on differential geometry features and registration: S. Benayoun, M.  ... 
doi:10.1016/b978-012077790-7/50037-0 fatcat:dt56b36fl5h6rncg22s2ft2qhi

Landmark-Based Registration Using Features Identified through Differential Geometry [chapter]

X PENNEC
2009 Handbook of Medical Image Processing and Analysis  
An alternative approach was presented in [17] with the use of a B-spline approximation of the surface.  ...  Features Extraction: Extremal Points and Lines To extract reliable curves on a surface, most approaches try to generalize the notion of "edges" to smooth surfaces to find the most salient features on the  ...  Acknowledgments The authors wish to thank the whole epidaure team and particularly their colleagues (or ex-colleagues) who worked on differential geometry features and registration: S. Benayoun, M.  ... 
doi:10.1016/b978-012373904-9.50044-1 fatcat:6kyijstyyre4xpclgvrm2frc5m

Medical computer vision, virtual reality and robotics

Nicholas Ayache
1995 Image and Vision Computing  
Rigid matching is treated more thoroughly as an illustration of a transfer from computer vision towards 3D image processing.  ...  ; 3D motion analysis; and 3D simulation of therapy.  ...  Recognition stage Once the second image, called in the hash table, the Frenet frames of both points are used to predict a rigid transformation T which maps both points with their Frenet frames (see Figure  ... 
doi:10.1016/0262-8856(95)99717-f fatcat:r2on35nba5ap7h2ojxa4zfrf64

Shape Interrogation [chapter]

Stefanie Hahmann, Alexander Belyaev, Laurent Busé, Gershon Elber, Bernard Mourrain, Christian Rössl
2008 Mathematics and Visualization  
Originating 20 years ago from CAD/CAM applications where "class A" surfaces are required and no surface imperfections are allowed, shape interrogation has become recently an important tool for various  ...  Furthermore we focus on stable numerical and symbolic solving of algebraic systems of equations, a problem that arises in most shape interrogation methods.  ...  Iso-contouring is the technique of extracting constant valued curves and surfaces from 2D and 3D scalar fields.  ... 
doi:10.1007/978-3-540-33265-7_1 fatcat:qtkcs5a755difovd5laelhrzcu

Interactive numerical flow visualization using stream surfaces

J.P.M. Hultquist
1990 Computing Systems in Engineering  
The balance of my committee, Fred Brooks, James Coggins, and Henry Fuchs, allowed me the freedom to pursue my research on the other end of the country. I thank each of them very much.  ...  Tom Lasinski has been the most patient of bosses and a most helpful member of my dissertation committee. Pieter Burring graciously brought his expertise to my committee.  ...  In chapter 3, I describe a novel mixed-space approach which can efficiently compute curves while still preserving accuracy in the presence of grid flaws.  ... 
doi:10.1016/0956-0521(90)90021-c fatcat:he3jcf3wzff2pervtrhsxwuvu4

Ridge extraction of a smooth 2-manifold surface based on vector field

WuJun Che, XiaoPeng Zhang, Yi-Kuan Zhang, Jean-Claud Paul, Bo Xu
2011 Computer Aided Geometric Design  
Starting with an initial ridge, which may or may not be umbilical, a ridge line is then traced by calculating an associated integral curve of this field in conjunction with a new projection procedure to  ...  In contrast to other existing methods, our new approach is mathematically sound and characterized by considering the full geometric structures and topological patterns of ridges on a generic smooth surface  ...  This work is supported in part by National Natural Science Foundation of China under Grant Nos. 60970093, 60902078 and 60872120.  ... 
doi:10.1016/j.cagd.2011.03.005 fatcat:5nfhxj5pybhhlozxw65q22srde

Geometric approach to multi-scale 3D gesture comparison

Victor Manuel Ochoa Mayorga
2010
Abstract The present dissertation develops an invariant framework for 3D gesture comparison studies. 3D gesture comparison without Lagrangian models is challenging not only because of the lack of prediction  ...  In 3D spaces, it is difficult to compare curves without an alignment operator since it is likely that discrete curves are not synchronized and do not share a common points in space.  ...  The recognition efficiency and speed of a classifier depends on several factors such as feature space dimensionality, linearity, and representability.  ... 
doi:10.7939/r3zs40 fatcat:krqgum3i2jdjlpeo4dtdyruqia

This Week's Finds in Mathematical Physics (1-50) [article]

John C. Baez
2022 arXiv   pre-print
These are the first 50 issues of This Week's Finds of Mathematical Physics, from January 19, 1993 to March 12, 1995.  ...  However, there are also digressions into Lie algebras, elliptic curves, linear logic and other subjects. They were typeset in 2020 by Tim Hosgood.  ...  We obtain a new type of relation, analogous to the Mandelstam identity of second kind, that connects open path operators with loop operators.  ... 
arXiv:2101.04168v3 fatcat:kh5eurusrjevbkttpuq24p3s4q