10,053 research outputs found
Checking Computations of Formal Method Tools - A Secondary Toolchain for ProB
We present the implementation of pyB, a predicate - and expression - checker
for the B language. The tool is to be used for a secondary tool chain for data
validation and data generation, with ProB being used in the primary tool chain.
Indeed, pyB is an independent cleanroom-implementation which is used to
double-check solutions generated by ProB, an animator and model-checker for B
specifications. One of the major goals is to use ProB together with pyB to
generate reliable outputs for high-integrity safety critical applications.
Although pyB is still work in progress, the ProB/pyB toolchain has already been
successfully tested on various industrial B machines and data validation tasks.Comment: In Proceedings F-IDE 2014, arXiv:1404.578
3D performance capture for facial animation
This work describes how a photogrammetry based 3D capture system can be used as an input device for animation. The 3D Dynamic Capture System is used to capture the motion of a human face, which is extracted from a sequence of 3D models captured at TV frame rate. Initially the positions of a set of landmarks on the face are extracted. These landmarks are then used to provide motion data in two different ways. First, a high level description of the movements is extracted, and these can be used as input to a procedural animation package (i.e. CreaToon). Second the landmarks can be used as registration points for a conformation process where the model to be animated is modified to match the captured model. This approach gives a new sequence of models, which have the structure of the drawn model but the movement of the captured sequence
Geometric, Variational Discretization of Continuum Theories
This study derives geometric, variational discretizations of continuum
theories arising in fluid dynamics, magnetohydrodynamics (MHD), and the
dynamics of complex fluids. A central role in these discretizations is played
by the geometric formulation of fluid dynamics, which views solutions to the
governing equations for perfect fluid flow as geodesics on the group of
volume-preserving diffeomorphisms of the fluid domain. Inspired by this
framework, we construct a finite-dimensional approximation to the
diffeomorphism group and its Lie algebra, thereby permitting a variational
temporal discretization of geodesics on the spatially discretized
diffeomorphism group. The extension to MHD and complex fluid flow is then made
through an appeal to the theory of Euler-Poincar\'{e} systems with advection,
which provides a generalization of the variational formulation of ideal fluid
flow to fluids with one or more advected parameters. Upon deriving a family of
structured integrators for these systems, we test their performance via a
numerical implementation of the update schemes on a cartesian grid. Among the
hallmarks of these new numerical methods are exact preservation of momenta
arising from symmetries, automatic satisfaction of solenoidal constraints on
vector fields, good long-term energy behavior, robustness with respect to the
spatial and temporal resolution of the discretization, and applicability to
irregular meshes
Reverse Engineering Approach to Quantum Electrodynamics
The S matrix of e--e scattering has the structure of a projection operator
that projects incoming separable product states onto entangled two-electron
states. In this projection operator the empirical value of the fine-structure
constant alpha acts as a normalization factor. When the structure of the
two-particle state space is known, a theoretical value of the normalization
factor can be calculated. For an irreducible two-particle representation of the
Poincare group, the calculated normalization factor matches Wyler's
semi-empirical formula for the fine-structure constant alpha. The empirical
value of alpha, therefore, provides experimental evidence that the state space
of two interacting electrons belongs to an irreducible two-particle
representation of the Poincare group.Comment: 12 pages, minor change
Growth of epitaxial nanowires by controlled coarsening of strained islands
We show that elongated nanowires can be grown on crystal surfaces by allowing
large strained two-dimensional islands to desorb by varying the adatom
supersaturation or chemical potential. The width of the wires formed in this
process is determined by a competition between the repulsive elastic
interactions of the long edges of the wires and the thermodynamic driving force
which tends to decrease the distance between these edges. The proposed
mechanism allows for control of the wire sizes by changing the growth
conditions, in particular, the vapor pressure of the material that is being
deposited
3-D facial expression representation using B-spline statistical shape model
Effective representation and recognition of human faces are essential in a number of applications including human-computer interaction (HCI), bio-metrics or video conferencing. This paper presents initial results obtained for a novel method of 3-D facial expressions representation based on the shape space vector of the statistical shape model. The statistical shape model is constructed based on the control points of the B-spline surfaces of the train-ing data set. The model fitting for the data is achieved by a modified iterative closest point (ICP) method with the surface deformations restricted to the es-timated shape space. The proposed method is fully automated and tested on the synthetic 3-D facial data with various facial expressions. Experimental results show that the proposed 3-D facial expression representation can be potentially used for practical applications
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