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Vector fields analysis traditionally distinguishes conservative (curl-free) from mass preserving (divergence-free) components. The Helmholtz-Hodge decomposition allows separating any vector field into the sum of three uniquely defined components: curl free, divergence free and harmonic. This decomposition is usually achieved by using mesh-based methods such(More)
Figure 1. Visualization of tetrahedral meshes using CHF. Abstract This work introduces a scalable topological data structure for manifold tetrahedral meshes called Compact Half– Face (CHF). It provides a high degree of scalability, since it is able to optimize the memory consumption / execution time ratio for different applications and data by using(More)
Figure 1: Urbane provides architects, developers, and planners with a new, data and analysis rich way of reading the city with the goal of improving decision making in urban development. Users can explore properties of neighborhoods and buildings using the data exploration view to identify underdeveloped sites for potential development. Then, using the(More)
We present a novel algorithm for 2D vector field reconstruction from sparse set of points–vectors pairs. Our approach subdivides the domain adaptively in order to make local piecewise polynomial approximations for the field. It uses partition of unity to blend those local approximations together, generating a global approximation for the field. The(More)
We propose new topological data structures for the representation of 2D and 3D hybrid meshes, i.e., meshes composed of elements of different types. Hybrid meshes are playing an increasingly important role in all fields of modeling, because elements of different types are frequently considered either because such meshes are easier to construct or because(More)
There is a growing expectation for high performance design in architecture which negotiates between the requirements of the client and the physical constraints of a building site. Clients for building projects often challenge architects to maximize view quality since it can significantly increase real estate value. To pursue this challenge, architects(More)
The evolution of the configuration of a set of particles dispersed in a flowing liquid is crucial in many applications such as sedimentation, slurry transport , rheology and structured arrays of micro and nano particles. Direct Simulation based on what is called Fictitious Domain Method coupled with Finite Element Method has been used to study particulate(More)
Cities are inherently dynamic. Interesting patterns of behavior typically manifest at several key areas of a city over multiple temporal resolutions. Studying these patterns can greatly help a variety of experts ranging from city planners and architects to human behavioral experts. Recent technological innovations have enabled the collection of enormous(More)