Surface shape and curvature scales
Image and Vision Computing
Estimating non-rigid motion from point and line correspondences
Pattern Recognition Letters
COSMOS-A Representation Scheme for 3D Free-Form Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Structural Object Recognition Using Shape-from-Shading
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 1
Integrating Range and Texture Information for 3D Face Recognition
WACV-MOTION '05 Proceedings of the Seventh IEEE Workshops on Application of Computer Vision (WACV/MOTION'05) - Volume 1 - Volume 01
3D Face Recognition Using Two Views Face Modeling and Labeling
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Workshops - Volume 03
New Experiments on ICP-Based 3D Face Recognition and Authentication
ICPR '06 Proceedings of the 18th International Conference on Pattern Recognition - Volume 03
Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition (Studies in Advanced Mathematics)
Noise versus Facial Expression on 3D Face Recognition
ICIAP '07 Proceedings of the 14th International Conference on Image Analysis and Processing
Automatic 3D Face Recognition Using Fourier Descriptors
CW '09 Proceedings of the 2009 International Conference on CyberWorlds
3D Face Recognition Using Simulated Annealing and the Surface Interpenetration Measure
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D Face Recognition by Surface Classification Image and PCA
ICMV '09 Proceedings of the 2009 Second International Conference on Machine Vision
Determining discriminative anatomical point pairings using adaboost for 3D face recognition
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
High-Order Circular Derivative Pattern for Image Representation and Recognition
ICPR '10 Proceedings of the 2010 20th International Conference on Pattern Recognition
ICPR '10 Proceedings of the 2010 20th International Conference on Pattern Recognition
3D face recognition based on facial shape indexes with dynamic programming
ICB'06 Proceedings of the 2006 international conference on Advances in Biometrics
On bending invariant signatures for surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
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The face is one of the most important parts of the human anatomy, and its study is very important, especially for developing automatic public security recognition strategies. In order to support this field, it is necessary to find a formal way of converting what the human eyes normally do in recognizing one person from another by extracting implicitly some morphological features. Since human recognition happens through an automatic ''authentication'' of facial shape and features, this study should be undertaken in the geometrical domain. The technical literature shows many parameters that could be adopted for finding a solution to this problem, but at present there is no evidence of a reliable solution. For this reason, this work, analysing strengths and constraints of what is available in the geometrical domain, provides the first guideline for supporting the development of an automatic face recognition approach. Starting from differential geometry, such as the coefficients of the fundamental forms, the principal curvatures, mean and Gaussian curvatures, the derivatives and the shape and curvedness indices introduced by Koenderink and VanDoorn, this paper, working on a consistent set of case studies, analyses the geometrical descriptors' performances in the three-dimensional facial study by the use of a set of indicators (similarity between different faces, sensitivity to noise, etc.). This is a preliminary study for analysing the behaviours of these descriptors on faces. It may be used as a guideline or a theoretical framework for researchers studying face shape or for face recognition applications.