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Generative 3D face models are a powerful tool in computer vision. They provide pose and illumination invariance by modeling the space of 3D faces and the imaging process. The power of these models comes at the cost of an expensive and tedious construction process, which has led the community to focus on more easily constructed but less powerful models. With this paper we publish a generative 3D shape...
Efficient and accurate fitting of active appearance models (AAM) is a key requirement for many applications. The most efficient fitting algorithm today is inverse compositional image alignment (ICIA). While ICIA is extremely fast, it is also known to have a small convergence radius. Convergence is especially bad when training and testing images differ strongly, as in multi-person AAMs. We describe...
We describe an expression-invariant method for face recognition by fitting an identity/expression separated 3D Morphable Model to shape data. The expression model greatly improves recognition and retrieval rates in the uncooperative setting, while achieving recognition rates on par with the best recognition algorithms in the face recognition great vendor test. The fitting is performed with a robust...
We present a method for face recognition by fitting a 3D Morphable Model to shape data. Fitting is done with a a robust nonrigid ICP algorithm. For recognition, it is possible to use either the fitted model parameters, or the correspondences induced by the model. We compare different similarity measures, and show that a 3D Morphable Model allows very robust retrieval results.
We present a novel model based stereo system, which accurately extracts the 3D shape and pose of faces from multiple images taken simultaneously. Extracting the 3D shape from images is important in areas such as pose-invariant face recognition and image manipulation. The method is based on a 3D morphable face model learned from a database of facial scans. The use of a strong face prior allows us to...
We show how to extend the ICP framework to nonrigid registration, while retaining the convergence properties of the original algorithm. The resulting optimal step nonrigid ICP framework allows the use of different regularisations, as long as they have an adjustable stiffness parameter. The registration loops over a series of decreasing stiffness weights, and incrementally deforms the template towards...
The Eggert conjecture claims that a finite commutative algebra R over a field of prime characteristic p has the property dim R≥dim R(1), where R(1) is the subspace of R spanned by the pth powers of elements of R. We obtain results related to this conjecture and results on nilpotent algebras of rather high nilpotency class.
Abstract. The set of all elements of an associative ring R, not necessarily with a unit element, forms a semigroup Rad under the circle operation on R. The ring R is called radical if Rad is a group. It is proved that the semigroup Rad is nilpotent of class n (in sense of A. Malcev or B. H. Neumann and T. Taylor) if and only if the ring R is Lie-nilpotent of class n. This yields...
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