An Evaluation of Prefiltered B-Spline Reconstruction for Quasi-Interpolation on the Body-Centered Cubic Lattice

Csébfalvi, Balázs

doi:10.1109/tvcg.2009.87

Cited by 29 publications

(26 citation statements)

References 15 publications

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“…Dark red/blue/green curves denote the optimal error kernels E min (ω) of the corresponding filters. The black curve denotes the error kernel of M 12 with the quasi-interpolation prefilter computed by Csébfalvi [5].…”

Section: Acknowledgmentsmentioning

confidence: 99%

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Quartic Box-Spline Reconstruction on the BCC Lattice

Kim

2013

IEEE Trans. Visual. Comput. Graphics

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Abstract-This paper presents an alternative box-spline filter for the body-centered cubic (BCC) lattice, the 7-direction quartic boxspline M 7 that has the same approximation order as the 8-direction quintic box-spline M 8 but a lower polynomial degree, smaller support, and is computationally more efficient. When applied to reconstruction with quasi-interpolation prefilters, M 7 shows less aliasing, which is verified quantitatively by integral filter metrics and frequency error kernels. To visualize and analyze distributional aliasing characteristics, each spectrum is evaluated on the planes and lines with various orientations.

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Section: Acknowledgmentsmentioning

confidence: 99%

“…Csébfalvi [5] also derived various discrete quasiinterpolants for both M 12 and M 8 and evaluated their reconstruction results.…”

Section: Introductionmentioning

confidence: 99%

Quartic Box-Spline Reconstruction on the BCC Lattice

Kim

2013

IEEE Trans. Visual. Comput. Graphics

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“…If a class has a large number of children, it may require more testing of the methods of that class, thus increase the testing time. NOC, therefore, primarily evaluates Efficiency, Reusability, and Testability [14].…”

Section: Metric 9: Number Of Children (Noc)mentioning

confidence: 99%

Research of Improving the Quality of the Object-Oriented System

Huang¹,

Li²,

Li³

2013

IJIET

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Abstract-This research seeks to describe concepts and techniques to improve the quality of the object-oriented System. Object-oriented design is a popular concept in today's system development. Many metrics relating to product quality have proved their value for system maintenance and modification. The paper introduces the use of three traditional metrics and presents six additional metrics specifically for object-oriented systems. The object-oriented metrics criteria selescted are used to evaluate the system attributes. A brief description of the object-oriented structure is given. Each metric is then described, interpretation guidelines given, and the applicable quality attributes listed. Future work will be to define criteria for the metrics. Acceptable ranges for each metric will have to developed based on the effect of the metric on desirable system qualities.

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“…Previously, the frequency responses have been studied based on only 2D cross-sectional slices [Csébfalvi 2010]. In contrast, we render the frequency responses by direct volume rendering.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the box splines can capture more high-frequency details, whereas the B-splines suppress the postaliasing effect more efficiently. For the sake of fair comparison, we use recently proposed discrete prefilters for quasiinterpolation [Csébfalvi 2010] that fully exploit the approximation powers of the B-splines and the box splines as well.…”

Section: Introductionmentioning

confidence: 99%

3D frequency-domain analysis of non-separable reconstruction schemes by using direct volume rendering

Csébfalvi

Domonkos²

2010

Proceedings of the 26th Spring Conference on Computer Graphics

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Linear box spline.Trilinear B-spline. Quintic box spline. Tricubic B-spline. Figure 1: Frequency responses of different reconstruction filters proposed for the BCC lattice. AbstractRecently, it has been demonstrated that the optimality of the BodyCentered Cubic (BCC) lattice can be utilized also in practice by using either non-separable box-spline filters or tensor-product Bspline filters for reconstructing an originally continuous signal from its discrete BCC-sampled representation. In order to study the frequency-domain behavior of these filters, a 3D analysis of their frequency responses is required. In this paper, we show that direct volume rendering offers a natural tool for such a 3D analysis. As the frequency responses are analytically known, their characteristic isosurfaces can be rendered separately in the pass band and in the stop band. The visualization of the frequency responses conveys information not just on the absolute postaliasing and oversmoothing effects, but also on their direction dependence. In this sense, the frequency-domain behavior of the non-separable box splines and the tensor-product B-splines on the BCC lattice is evaluated for the first time in this paper. Furthermore, we also analyze how the frequency responses are influenced by a discrete prefiltering, which is necessary to fully exploit the approximation power of the higherorder box-spline and B-spline filters.

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An Evaluation of Prefiltered B-Spline Reconstruction for Quasi-Interpolation on the Body-Centered Cubic Lattice

Cited by 29 publications

References 15 publications

Quartic Box-Spline Reconstruction on the BCC Lattice

Quartic Box-Spline Reconstruction on the BCC Lattice

Research of Improving the Quality of the Object-Oriented System

3D frequency-domain analysis of non-separable reconstruction schemes by using direct volume rendering

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