Real-time finite element (FE) analysis can be used to represent complex deformable geometries in virtual environments. The need for accurate surgical simulation has spurred the development of many new real-time FE methodologies that enable haptic support and deformation. These techniques are computationally intensive it proved a challenge achieve high modeling resolutions required accurately anatomies. authors present methodology based on linear is appropriate wide range applications. A...

This paper presents a new fast iterative solver for large systems involving kernel matrices. Advantageous aspects of H2 matrix approximations and the multigrid method are hybridized to create H2-MG algorithm. combination provides time memory efficiency operator representation along with rapid convergence multilevel method. We describe how H2MG works, show its linear complexity, demonstrate effectiveness on two standard kernels. The current zoo solvers, which includes wide variety direct so...

We present a hierarchical decomposition scheme for computing the n-dimensional integral of multivariate normal probabilities that appear frequently in statistics. The exploits fact formally dense covariance matrix can be approximated by with low-rank structure. It allows reduction computational complexity per Monte Carlo sample from O(n2) to O(mn+knlog(n/m)), where k is numerical rank off-diagonal blocks and m size small diagonal are not well-approximated factorizations treated as...

Article Free Access Share on Skeleton-based modeling operations solids Authors: Duane W. Storti Department of Mechanical Engineering, Box 352600 and University Washington, Seattle, WA WAView Profile , George M. Turkiyyah Civil 352700 Mark A. Ganter Chek T. Lim Derek Stal Formerly, Departmant Ennineering, Authors Info & Claims SMA '97: Proceedings the fourth ACM symposium Solid applicationsMay 1997 Pages 141–154https://doi.org/10.1145/267734.267771Online:01 May 1997Publication History...

Universal mobile telecommunication system (UMTS) networks should be deployed according to cost-effective strategies that optimize a cost objective and satisfy target quality-of-service (QoS) requirements. In this paper, we propose novel algorithms for joint uplink/downlink UMTS radio planning with the of minimizing total power consumption in network. Specifically, define two components problem: 1) continuous-based site placement 2) integer-based selection. site-placement problem, our goal is...

A traditional goal of algorithmic optimality, squeezing out flops, has been superseded by evolution in architecture. Flops no longer serve as a reasonable proxy for all aspects complexity. Instead, algorithms must now squeeze memory, data transfers, and synchronizations, while extra flops on locally cached represent only small costs time energy. Hierarchically low-rank matrices realize rarely achieved combination optimal storage complexity high-computational intensity wide class formally...

The interactive and computational features of EverFE, a new rigid pavement three-dimensional (3D) finite element (FE) analysis tool, are presented. To date, the use 3D FE has been hampered by (a) difficulty model generation result interpretation, (b) inability many programs to adequately joint shear transfer due aggregate interlock dowel action, (c) large requirements conventional solution techniques employed available programs. development EverFE is motivated desire make feasible for...

Surgical simulation is increasingly being considered for training, testing, and possibly credentialing in medicine surgery. At the University of Washington we have been developing a virtual reality (VR) suturing simulator. In course development it must be realized that expensive new technologies should bear burden proof their effectiveness reliability before they are put into training programs. The purpose this article to define concept surgical skill discuss how can measured context...

The features and concepts underlying EverFE2.2, a freely available three-dimensional finite element program for the analysis of jointed plain concrete pavements, are detailed. functionality EverFE has been greatly extended since its original release: multiple tied slab or shoulder units can be modeled, dowel misalignment mislocation specified per dowel, nonlinear thermal shrinkage gradients treated, horizontal shear stress transfer between slabs base simulated. Improvements have made to user...

Article Free Access Share on Implicit reconstruction of solids from cloud point sets Authors: Chek T. Lim Department Mechanical Engineering, FU-10, University Washington, Seattle, WA WAView Profile , George M. Turkiyyah Civil FX-10, Mark A. Ganter Duane W. Storti Authors Info & Claims SMA '95: Proceedings the third ACM symposium Solid modeling and applicationsDecember 1995 Pages 393–402https://doi.org/10.1145/218013.218090Online:01 December 1995Publication History...

General haptic interaction with solid models requires an underlying physically-based model that can generate, in real-time, the forces and deformations to be rendered as a result of user interaction. In order allow for rich set interactions, physical must support real-time topological modifications including embedding new elements model, introduction cuts geometry. this paper, we describe demonstrate framework 3D discretized by finite elements. We present formulation allows fast progressive...

This paper presents a multilevel algorithm to accelerate the numerical solution of thin shell finite element problems de-scribed by subdivision surfaces. Subdivision surfaces have become widely used geometric representation for general curved three dimensional boundary models and shells as they provide compact robust framework mod-eling 3D geometry. More recently, shape functions in been proposed candidates use basis analysis simulation mechanical deformation structures. When coupled with...

Hierarchical matrices are space- and time-efficient representations of dense that exploit the low-rank structure matrix blocks at different levels granularity. The hierarchically block partitioning produces can be stored operated on in near-linear complexity instead usual polynomial matrices. In this article, we present high-performance implementations vector multiplication compression operations for H 2 variant hierarchical GPUs. exploits, addition to partitioning, bases results a scheme...

A general method to generate hexahedral meshes for finite element analysis of residual limbs and similar biomedical geometries is presented. The utilizes skeleton-based subdivision cross-sectional domains produce simple subdomains in which structured are easily generated. Application a below-knee limb external prosthetic socket described. was modeled as consisting bones, soft tissue, skin. model comprised wall with an inner liner. these structures were defined using axial contour data from...

Approximate images of the earth’s subsurface structures are usually obtained by migrating surface seismic data. Least-squares migration, under single-scattering assumption, is used as an iterative linearized inversion scheme to suppress migration artifacts, deconvolve source signature, mitigate acquisition fingerprint, and enhance spatial resolution migrated images. The problem with least-squares primaries, however, that it may not be able events mainly illuminated internal multiples, such...

The authors propose a knowledge-based framework for assisting users in setting up, interpreting, and hierarchically refining finite-element models structural engineering domain. central mechanism providing modeling assistance is the explicit representation incremental activation refraction of assumptions that operate on functional descriptions.

The procedure for creating a patient-specific virtual tissue model with finite element (FE) based haptic (force) feedback varies substantially from that which is required generating typical volumetric model. In addition to extracting geometrical and texture map data provide visual realism, it necessary obtain information supporting FE Among many differences, FE-based VR environments require appropriate material properties assigned. equation must also be processed in manner specific the...

A combination of hierarchical tree-like data structures and access patterns from fast multipole methods low-rank approximation linear operators H-matrix appears to form an algorithmic path forward for efficient implementation many algebraic operations scientific computing at the exascale. The provides asymptot- ically optimal computational communication complexity applicability large classes that commonly arise in applications. convergence mathe- matical theories has been underway over a...