The method is based on weighted condition number mesh relaxation with the weight function computed from a level set representation of the interface.
This method, called the "projection" method, uses both a classical discretization of the surface of the crack (segments for 2d cracks and triangles for 3d cracks) and a level set representation of the crack.
Our approach aims at extending geometrical flexibility of standard mesh moving/front tracking methods by introducing an additional implicit level set representation of the geometry under consideration.
Starting with a (possibly curved) reference fiber direction defined on a (possibly curved) meshed surface, the new method allows defining a level-set representation of the fiber network for each ply, and so defining the fiber trajectories.
With a level-set representation of the propagating interface, large deformations of the boundary can be handled easily.
This paper describes the development and use of a set of design representations of moving bodies in the design of Bystander, a multi-user, interactive, immersive artwork built on video-based, motion-sensing technology.
We used the conservation planning software Marxan to identify multiple, efficient configurations of planning units that achieve a set of representation targets for conservation features while minimizing the cost to stakeholders [43].
In Marr's framework, the process of vision constructs a set of representations, starting from a description of the input image and culminating with a description of three-dimensional objects in the surrounding environment.
Each patch consists of a set of representations (mixtures) tuned to different angles and rotations.
The picture that emerges from most analyses of new information and communication content is of a masculine rhetoric, and a set of representations which are frequently sexualized and often sexist.
