We present a pose estimation method from an initial unreliable guess using calibrated stereo images. The approach does not rely on a priori known salient features on the surface. The stereo images are brought in congruence without computing a disparity map like in standard stereo algorithms. Instead, the pose parameters of the object are varied to match the stereo images on the known surface sh...

As an introduction we present a new, elementary and constructive proof of the multisummability properties of formal solutions of linear ODE’s at irregular singular points. This serves to illustrate the geometric approach to multisummation. Basic properties of multisums and the associated sheaves are derived. Next, we study Cauchy-Heine transforms in relation to multisummation and the Stokes phe...

Volume Visualization techniques have advanced considerably since the rst international symposium held on this topic eight years ago. This paper brieey reviews the techniques proposed for the visualization of irregular (or scattered) volume datasets. In particular, methods which adopt simplicial de-compositions of E 3 space are considered, and this choice is justiied both in terms of modeling an...

A general 2D-hp-adaptive Finite Element FE implementation in Fortran 90 is described. The implementation is based on an abstract data structure, which allows to incorporate the full hp-adaptivity of triangular and quadrilateral nite elements. The h-reenement strategies are based on h2-reenement of quadrilaterals and h4-reenement of triangles. For p-reenement we allow the approximation order to ...

Texture measurement for simple geometric surfaces is well established. Many surface filtration techniques using Fourier, Gaussian, wavelets ... etc, have been proposed over the past decades. These filtration techniques cannot be applied to today’s complex freeform surfaces, which have nonEuclidean geometries in nature, without distortion of the results. Introducing the lifting scheme open the o...

We present a method for creating geometric models of dendritic forms. Dendritic shapes are commonplace in the natural world; some examples of objects exhibiting dendritic shape include lichens, coral, trees, lightning, rivers, crystals, and venation patterns. Our method first generates a regular lattice with randomly weighted edges, then finds least-cost paths through the lattice. Multiple path...

Recent findings show that the classical Riemann's non-differentiable function has a physical and geometric nature as irregular trajectory of polygonal vortex filament driven by binormal flow. In this article, we give an upper estimate its Hausdorff dimension. We also adapt result to multifractal setting. To prove these results, recalculate asymptotic behavior around rationals from novel perspec...

1 Abstract We describe a set of abstractions for managing elaborate irregular data structures that communicate within Cartesian subspaces. These abstractions have been implemented as part of KeLPTools, a joint eeort involving research groups at UCSD and LBNL. We discuss the application of KeLPTools to a challenging problem involving structured adaptive mesh reenement, and discuss progress to da...

By means of Surface Evolver (Exp. Math,1,141 1992), a software package of bruteforce energy minimization over a triangulated surface developed by the geometry center of University of Minnesota, we have numerically searched the non-axisymmetric shapes under the Helfrich spontaneous curvature (SC) energy model. We show for the first time there are abundant mechanically stable non-axisymmetric ves...

In this paper it is proposed the extension of an efficient method employed for non-holonomic mobile robots to the path tracking of tractors with a trailer. The main advantage of this pure geometric technique is that no kinematic model of the vehicle is needed, which is an interesting property when working in irregular terrain or with tracks instead of wheels. The differences of applying this me...