The flexibility coming along with the simplicity of their base primitive and the support by todays graphics hardware, have made triangular meshes more and more popular for representing complex 3D objects. Due to the complexity of realistic datasets, a considerable amount of work has been spent during the last years to provide means for the modification of a given mesh by intuitive metaphors, i....

Electrospinning is based on so-called bending instability which results in an erratic spiralling motion of the liquid jet as it proceeds towards a collecting electrode, where it is eventually deposited as a mat of micro/nanosized fibres. Most electrospinning models formulated within the slender approximation rely, however, on an inconsistent description of electrostatic interactions which rende...

This paper proposes methods for designing, tracking and coding hierarchical 2D content-based mesh representations. The design procedure consists of constructing a ne-to-coarse hierarchy of Delaunay meshes, using image-and shape-based criteria for mesh geometry simpliication. Hierarchical tracking employs a coarse-tone strategy with mesh-based motion vector optimization. We introduce new techniq...

We present weighted quadrature for hierarchical B-splines to address the fast formation of system matrices arising from adaptive isogeometric Galerkin methods with suitably graded meshes. By exploiting a local tensor product structure, we extend construction rules spline setting. The proposed algorithm has computational cost proportional number degrees freedom and advantageous properties increa...

This article introduces a new algorithm for evaluating enrichment functions in the higher-order hierarchical interface-enriched finite element method (HIFEM), which enables the fully mesh-independent simulation of multiphase problems with intricate morphologies. The proposed hierarchical enrichment technique can accurately capture gradient discontinuities along materials interfaces that are in ...

Hierarchical grids appear in various applications in computer graphics such as subdivision and multiresolution surfaces, and terrain models. Since the different grid types perform better at different tasks, it is desired to switch between regular grids to take advantages of these grids. Based on a 2D domain obtained from the connectivity information of a mesh, we can define simple conversions t...

Maintenance of polarisation of epithelial cells and preservation of their specialized phenotype are great challenges for bioengineering of epithelial tissues. Mimicking the basement membrane and underlying extracellular matrix (ECM) with respect to its hierarchical fiber-like morphology and display of bioactive signals is prerequisite for optimal epithelial cell function in vitro. We report her...

Nested simplicial meshes generated by the simplicial bisection decomposition proposed by Maubach [Mau95] have been widely used in 2D and 3D as multi-resolution models of terrains and three-dimensional scalar fields, They are an alternative to octree representation since they allow generating crack-free representations of the underlying field. On the other hand, this method generates conforming ...

Wavelets and multiresolution analysis are instrumental for developing ee-cient methods for representing, storing and manipulating functions at various levels of detail. Although alternative methods such as hierarchical quadtrees or pyramidal models have been used to that eeect as well, wavelets have picked up increasing popularity in recent years due to their energy compactness, ee-ciency, and ...

Subdivision can be thought of as a natural extension of existing patch-based surface representations. In this view, subdivision algorithms effectively bridge the gap between patchbased and polygonal mesh representations. Using subdivision also naturally leads to useful multiresolution representations of surfaces. Such representations can be used for a variety of applications, most importantly, ...