The multilevel finite element method for adaptive mesh optimization and visualization of volume data

Grosso, M.; Lurig,; Ertl,

doi:10.1109/visual.1997.663907

Cited by 50 publications

(30 citation statements)

References 24 publications

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“…The discussion of the different adaptivity strategies is beyond the scope of the present paper. Different refinement strategies can be integrated [48,1,35,21,36]. The focus here is on the construction of an appropriate data-structure that allows on-line construction of an hierarchical multi-resolution representation of the output isosurfaces.…”

Section: Discussionmentioning

confidence: 99%

Time critical isosurface refinement and smoothing

Bajaj

Pascucci

2000

Proceedings of the 2000 IEEE Symposium on Volume Visualization - VVS '00

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Figure 1: (left) Smoothing and (right) refinement with smoothing computed from a coarse representation (center) using the same progressive algorithm. AbstractMulti-resolution data-structures and algorithms are key in Visualization to achieve real-time interaction with large data-sets. Research has been primarily focused on the off-line construction of such representations mostly using decimation schemes. Drawbacks of this class of approaches include: (i) the inability to maintain interactivity when the displayed surface changes frequently, (ii) inability to control the global geometry of the embedding (no selfintersections) of any approximated level of detail of the output surface.In this paper we introduce a technique for on-line construction and smoothing of progressive isosurfaces (see Figure 1). Our hybrid approach combines the flexibility of a progressive multiresolution representation with the advantages of a recursive subdivision scheme. Our main contributions are: (i) a progressive algorithm that builds a multi-resolution surface by successive refinements so that a coarse representation of the output is generated as soon as a coarse representation of the input is provided, (ii) application of the same scheme to smooth the surface by means of a 3D recursive subdivision rule, (iii) a multi-resolution representation where any adaptively selected level of detail surface is guaranteed to be free of self-intersections.¥

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Section: Discussionmentioning

confidence: 99%

Time critical isosurface refinement and smoothing

Bajaj

Pascucci

2000

Proceedings of the 2000 IEEE Symposium on Volume Visualization - VVS '00

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“…not uniformly) it can happen that the extracted isosurface contains holes (cracks) at transition zones where the mesh resolution changes. Different solutions have been devised for this problem, including remeshing [4,8], point insertion [20], filling, adaptive projection [17], and saturation of the error indicator [6,7].…”

Section: Related Workmentioning

confidence: 99%

Topology preserving and controlled topology simplifying multiresolution isosurface extraction

Gerstner

Pajarola

Proceedings Visualization 2000. VIS 2000 (Cat. No.00CH37145)

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Multiresolution methods are becoming increasingly important tools for the interactive visualization of very large data sets. Multiresolution isosurface visualization allows the user to explore volume data using simplified and coarse representations of the isosurface for overview images, and finer resolution in areas of high interest or when zooming into the data. Ideally, a coarse isosurface should have the same topological structure as the original. The topological genus of the isosurface is one important property which is often neglected in multiresolution algorithms. This results in uncontrolled topological changes which can occur whenever the level-of-detail is changed. The scope of this paper is to propose an efficient technique which allows preservation of topology as well as controlled topology simplification in multiresolution isosurface extraction.

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“…Through suitable approximations of the data, they are also able to extract approximate isosurfaces with varying complexity. The various methods mainly differ in the type of hierarchy and interpolation, such as octrees [24], red tetrahedral refinement [8,10,29], tetrahedral bisection [5-7, 20, 32], hierarchical Delaunay triangulations [2], or wavelet techniques [25]. With the help of bounds for the minimum and maximum data value inside each subdomain, the scanning of empty regions is also avoided.…”

Section: Related Workmentioning

confidence: 99%

“…For this problem, different solutions have been devised such as remeshing [8], point insertion [24], projection [19], blending [10], and saturation [5][6][7]32]. …”

Section: Related Workmentioning

confidence: 99%

Fast Multiresolution Extraction of Multiple Transparent Isosurfaces

Gerstner

2001

Eurographics

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Abstract. In this paper, we present a multiresolution algorithm which is capable to render multiple transparent isosurfaces under real-time constraints. To this end, the underlying 3D data set is covered with a hierarchical tetrahedral grid. The multiresolution extraction algorithm is then based on an adaptive traversal of the tetrahedral grid with the help of error indicators. The display of transparent isosurfaces using alpha blending requires a back-to-front rendering of the isosurface triangles. This is achieved by a hierarchical sorting procedure of the tetrahedra and the hierarchical computation of data gradients. We will also comment on the automated selection of suitable isovalues for visualization applications.

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The multilevel finite element method for adaptive mesh optimization and visualization of volume data

Cited by 50 publications

References 24 publications

Time critical isosurface refinement and smoothing

Time critical isosurface refinement and smoothing

Topology preserving and controlled topology simplifying multiresolution isosurface extraction

Fast Multiresolution Extraction of Multiple Transparent Isosurfaces

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