Interactive Isogeometric Volume Visualization with Pixel-Accurate Geometry.

We present a novel approach for interactive visualization of isogeometric analysis results, ensuring correct, i.e., pixel-accurate geometry of the volume including its bounding surfaces. ... Traditional volume rendering methods for inspecting the results from the numerical simulations cannot be applied directly to isogeometric models. ... APPROACH AND IMPLEMENTATION We present a novel approach enabling interactive volume visualization of isogeometric models with pixel-accurate geometry. ...

doi:10.1109/tvcg.2015.2430337 pmid:26731454 fatcat:xk4b2xhrnffcvco2hte7lx3jsy

Multiple Versions

In this paper, we present a novel isosurface visualization technique that guarantees the accurate visualization of isosurfaces with complex attribute data defined on (un)structured (curvi)linear hexahedral ... Additionally, our technique can be used to directly visualize solutions and attributes in isogeometric analysis, an area based on trivariate high-order NURBS (Non-Uniform Rational B-splines) geometry and ... This is the first algorithm that can produce accurate visualizations of isogeometric analysis results. ...

doi:10.1109/tvcg.2011.103 pmid:22442127 fatcat:mhfzoaibfrbpzguyc3432edipa

7 In this paper, the potential of Isogeometric Analysis for strain field measurement by Digital Image Correlation is investigated. ... The aim of this paper is to present 23 a DIC strategy that allows for strain measurements with higher resolution and lower noise levels. ... 361 shows a 3D visualization of E xx for 16-pixel elements with C 0 linear interpolation and for 32-pixel elements 362 with C 2 cubic interpolation. Finally Figure ? ? ...

doi:10.1016/j.cma.2010.07.012 fatcat:o3wkycgvqbhotp52rz45hj7pga

B-spline volumes are also a fundamental primitive in isogeometric analysis [2] where they are used to represent the geometry of a physical object. ... However, those data structures are generally challenged when dealing with dynamic geometry. ... The subdivision operation in line 13 splits patch L i at the parametric center into eight Bézier patches and replaces patch L i in L with the respective subpatches. Appendix B. ...

doi:10.1016/j.cad.2014.08.005 fatcat:h2pkxi7i3nfkbgqvlyc7rnm6qm

The motivating applications include analyzing the flow over complex geometries, such as moving vehicles, where the detailed geometric features usually require time-consuming, labor-intensive geometry cleanup ... The motivating applications include analyzing the flow over complex geometries, such as moving vehicles, where the detailed geometric features usually require time-consuming, labor-intensive geometry cleanup ... Sub-cell-based adaptive quadrature was used in Kamensky et al. (2015) and Xu et al. (2016) to accurately integrate the volume integrals and faithfully capture the geometry in background intersected ...

doi:10.1016/j.cagd.2016.02.007 fatcat:66u5tyluvrcj5ics6vc2qv25fy

Keywords bioprosthetic heart valves, fluid-structure interaction, immersogeometric analysis, isogeometric analysis, parametric design, patient specific Disciplines Biomechanical Engineering | Biomedical ... We parameterize the leaflet geometry using several key design parameters. ... The time t is synchronized with Figure 16 : 16 Volume rendering visualization of the velocity field from our FSI simulation at several points during a cardiac cycle. ...

doi:10.1002/cnm.2938 pmid:29119728 fatcat:4yz6bz4n6bdxdhxugntvb6s5t4

Citation

Fei Xu, Simone Morganti, Rana Zakerzadeh, David Kamensky, Ferdinando Auricchio, Alessandro Reali, Thomas J. R. Hughes, Michael S. Sacks, Ming-Chen Hsu. "A framework for designing patient-specific bioprosthetic heart valves using immersogeometric fluid-structure interaction analysis." International Journal for Numerical Methods in Biomedical Engineering 34.4 (2018) e2938

During fabrication, as each voxel could be precisely translated as a quantifiable unit with deposited material information, this measure reasonably estimates the accurate actual volume of the object, and ... Contrast to constructive solid geometry (CSG), which cannot express the interior description of an object, an algebraic scheme called constructive volume geometry [27] represented complex volume objects ... His research interests include 3D printing, computer-aided geometry design. ...

doi:10.1186/s42492-020-0041-6 pmid:32240443 fatcat:dinaoei6yngc5eza4t6feannny

DOAJ

Generally, prior to 3D reconstruction, a minimum number of 2D point correspondences are defined (e.g. by visual inspection) and are used to estimate the optimal geometry that characterizes the position ... To evaluate the method, we compared 3D reconstructed lesions with Optical Coherence Tomography (OCT), an invasive imaging modality that enables high-resolution endoluminal visualization of lesion anatomy ... Accurate vessel extraction is crucial to accurate 3D vessel reconstruction. ...

doi:10.1371/journal.pone.0190650 pmid:29298341 pmcid:PMC5752011 fatcat:cb44maeuijg3dh45b45khxv3na

DOAJ

Citation

Francesca Galassi, Mohammad Alkhalil, Regent Lee, Philip Martindale, Rajesh K. Kharbanda, Keith M. Channon, Vicente Grau, Robin P. Choudhury, Christina A. Bursill. "3D reconstruction of coronary arteries from 2D angiographic projections using non-uniform rational basis splines (NURBS) for accurate modelling of coronary stenoses." PLoS ONE 13.1 (2018) e0190650

Due to the flexibility of the quadrature based geometry approximation, the finite cell method can operate with almost any geometric model, ranging from boundary representations in computer aided geometric ... femur bone, the analysis of volumetric structures based on CAD boundary representations, and the isogeometric treatment of trimmed NURBS surfaces. ... Again, the accuracy predominantly depends on the accurate resolution of the geometry in the cut cells. ...

doi:10.1007/s11831-014-9115-y fatcat:h47y5t7jivdnra6pznl7tdnija

Both FEM and SPH methods provide similar solutions of the models in terms of pressure and displacement, with an error of around 0.09, with up to a 10% difference between them. ... To analyze the accuracy of the method, a similar model was implemented with FEM. ... [32] implemented a 3D patient specific leg-muscle pixel-based model using isogeometric analysis (IGA) and the RKPM. ...

doi:10.3390/app10062099 fatcat:wtcpsua74ffufnubgeyyqgmzo4

DOAJ

Finally, we present our strategy in the framework of the modelling and isogeometric analysis process of trimmed NURBS geometries. ... analysis on trimmed geometries. ... Finally, we demonstrate the value of the presented concepts with regard to trimmed NURBS geometries within isogeometric analysis. ...

doi:10.1002/nme.4522 fatcat:tfmcmtz5zrbjxe2p5kezlkorkm

To that end, we developed a pressure-inflation device that is compatible with synchrotron-based phase-contrast imaging. ... Here, we present a novel method to visualize the microstructure of the tunica media along the entire circumference of the vessel. ... We would like to thank Stéphane Bigler (EPFL) and Thomas Steigmeier (PSI) for their assistance with the design, manufacturing and maintenance of the pressure-inflation device, and Mira Puthettu (EPFL) ...

doi:10.1098/rsif.2019.0179 pmid:31238834 pmcid:PMC6597763 fatcat:vndm4gpbdjhbtethnppsevf3f4

This methodology can represent both boundary/volumetric geometry and real volumetric physical attributes in a compact and continuous fashion. ... We also demonstrate its great potential in many valuable applications like remeshing, visualization, etc. ... Combining volumetric decomposition, parameterization with trivariate splines, we successfully and effectively solve a variety of problems in the areas of geometric shape design and modeling. ...

arXiv:1308.0869v1 fatcat:hiscx3juzzgivfzjdjcahp7une

Geometric accuracy evaluation showed an agreement with area under the curves value of 0.87 between the constructed mesh and raw MRA data sets. ... This technique generates high-quality and anatomically accurate computational meshes for fast blood flow simulations extending the scope of 3D vascular modeling to a large portion of cerebral arterial ... For example, structured hexahedral meshes are essential for isogeometric analysis 7 ; the arrangement of nearorthogonal hexahedral cell layers make them ideal for fluid structure interaction 8 (FSI). ...

doi:10.1016/j.compbiomed.2017.10.028 pmid:29126049 pmcid:PMC5696053 fatcat:wusw47v3cjccnjjawhc4xpqz6m

Popularized in procedural computer graphics, this representation defines 3D objects as geometric primitives combined with constructive solid geometry and transformed by nonlinear deformations, scaling, ... Unlike their discretized counterpart, that have become important in dense 3D reconstruction, the continuous distance function is not stored as a sampled volume, but as a closed mathematical expression. ... Solving this problem is key to programming robots that can act in and interact with the world around it. ...

doi:10.1109/3dv.2017.00023 dblp:conf/3dim/HaugoSB17 fatcat:prn3qekth5fcbnckhpfcsmiojy

Interactive Isogeometric Volume Visualization with Pixel-Accurate Geometry

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Direct Isosurface Visualization of Hex-Based High-Order Geometry and Attribute Representations

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Isogeometric analysis for strain field measurements

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Efficient direct rendering of deforming surfaces via shared subdivision trees

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Direct immersogeometric fluid flow analysis using B-rep CAD models

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A framework for designing patient-specific bioprosthetic heart valves using immersogeometric fluid-structure interaction analysis

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Review of heterogeneous material objects modeling in additive manufacturing

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3D reconstruction of coronary arteries from 2D angiographic projections using non-uniform rational basis splines (NURBS) for accurate modelling of coronary stenoses

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The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models

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Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method

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