12,691 research outputs found
Fitting a 3D Morphable Model to Edges: A Comparison Between Hard and Soft Correspondences
We propose a fully automatic method for fitting a 3D morphable model to
single face images in arbitrary pose and lighting. Our approach relies on
geometric features (edges and landmarks) and, inspired by the iterated closest
point algorithm, is based on computing hard correspondences between model
vertices and edge pixels. We demonstrate that this is superior to previous work
that uses soft correspondences to form an edge-derived cost surface that is
minimised by nonlinear optimisation.Comment: To appear in ACCV 2016 Workshop on Facial Informatic
Left-Invariant Diffusion on the Motion Group in terms of the Irreducible Representations of SO(3)
In this work we study the formulation of convection/diffusion equations on
the 3D motion group SE(3) in terms of the irreducible representations of SO(3).
Therefore, the left-invariant vector-fields on SE(3) are expressed as linear
operators, that are differential forms in the translation coordinate and
algebraic in the rotation. In the context of 3D image processing this approach
avoids the explicit discretization of SO(3) or , respectively. This is
particular important for SO(3), where a direct discretization is infeasible due
to the enormous memory consumption. We show two applications of the framework:
one in the context of diffusion-weighted magnetic resonance imaging and one in
the context of object detection
Robot's hand and expansions in non-integer bases
We study a robot hand model in the framework of the theory of expansions in
non-integer bases. We investigate the reachable workspace and we study some
configurations enjoying form closure properties.Comment: 22 pages, 10 figure
Face Recognition Using Fractal Codes
In this paper we propose a new method for face recognition using fractal codes. Fractal codes represent local contractive, affine transformations which when iteratively applied to range-domain pairs in an arbitrary initial image result in a fixed point close to a given image. The transformation parameters such as brightness offset, contrast factor, orientation and the address of the corresponding domain for each range are used directly as features in our method. Features of an unknown face image are compared with those pre-computed for images in a database. There is no need to iterate, use fractal neighbor distances or fractal dimensions for comparison in the proposed method. This method is robust to scale change, frame size change and rotations as well as to some noise, facial expressions and blur distortion in the imag
Three-dimensional double helical DNA structure directly revealed from its X-ray fiber diffraction pattern by iterative phase retrieval
Coherent diffraction imaging (CDI) allows the retrieval of the structure of
an isolated object, such as a macromolecule, from its diffraction pattern. CDI
requires the fulfilment of two conditions: the imaging radiation must be
coherent and the object must be isolated. We discuss that it is possible to
directly retrieve the molecular structure from its diffraction pattern which
was acquired neither with coherent radiation nor from an individual molecule,
provided the molecule exhibits periodicity in one direction, as in the case of
fiber diffraction. We demonstrate that by applying iterative phase retrieval
methods to a fiber diffraction pattern, the repeating unit, that is, the
molecule structure, can directly be reconstructed without any prior modeling.
As an example, we recover the structure of the DNA double helix in
three-dimensions from its two-dimensional X-ray fiber diffraction pattern,
Photograph 51, acquired in the famous experiment by Raymond Gosling and
Rosalind Franklin, at a resolution of 3.4 Angstrom
- …