Quantitative Comparison of Sinc-Approximating Kernels for Medical Image Interpolation

Meijering, Erik; Niessen, Wiro J.; Pluim, Josien P. W.; Viergever, Max A.

doi:10.1007/10704282_23

Cited by 45 publications

(36 citation statements)

References 10 publications

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“…As was shown in [28] and [30], for filter orders bM=2c > 3 the choice ¼ 5 is very satisfactory in most situations. Later in [29] Meijering compared spline interpolation [36] to sampling theorem based resampling (c.f.…”

Section: A Desoki Et Al: Improved Finite Samples Resampling For Unbmentioning

confidence: 72%

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Improved finite samples resampling for unbiased wide-band direction of arrival estimation

Desoki

Takada

Hagiwara

2009

Acoust. Sci. & Tech.

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This paper considers wide-band DOA estimation using the spatial resampling method for coherent averaging. In this paper a rough estimate of the resampling error distribution is obtained. Careful examination of this distribution yields an improved resampling formula suitable for, but not limited to, arrays with finite sensors. It is shown that the proposed formula yields resampling error much less than that of conventional resampling. Moreover it is shown how the resampling error can be more reduced by proper choice of the focusing frequency. Based on the this resampling formula a perfect focusing scheme is then proposed and its performance is evaluated and compared to other wide-band methods through simulations. Simulations showed quite satisfactory and robust performance of the proposed scheme. It was shown that it succeeds in situations where all considered wideband methods fail. In addition it is bias-free and can be implemented quite efficiently. Hence it is quite suitable for reliable real-time DOA estimation in reverberant environments.

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Section: A Desoki Et Al: Improved Finite Samples Resampling For Unbmentioning

confidence: 72%

“…Meijering in [28] showed that the Kaiser windowed sinc filter is one of the best interpolation filters for filter order bM=2c > 3. This filter is defined by…”

Section: Resampling Of Infinite Sequence Of Samplesmentioning

confidence: 99%

Improved finite samples resampling for unbiased wide-band direction of arrival estimation

Desoki

Takada

Hagiwara

2009

Acoust. Sci. & Tech.

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“…Finally, the image-intensity values for each voxel are interpolated via a truncated sinc interpolation kernel [68].…”

Section: Image-warping Algorithm-interpolation Of the Fem Solutionmentioning

confidence: 99%

Computerized method for nonrigid MR-to-PET breast-image registration

Unlu

Król

Magri

et al. 2010

Computers in Biology and Medicine

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Keywords:MR-to-PET nonrigid breast-image registration FEM-based soft tissue multimodality nonrigid image registration a b s t r a c tWe have developed and tested a new simple computerized finite element method (FEM) approach to MR-to-PET nonrigid breast-image registration. The method requires five-nine fiducial skin markers (FSMs) visible in MRI and PET that need to be located in the same spots on the breast and two on the flanks during both scans. Patients need to be similarly positioned prone during MRI and PET scans. This is accomplished by means of a low gamma-ray attenuation breast coil replica used as the breast support during the PET scan. We demonstrate that, under such conditions, the observed FSM displacement vectors between MR and PET images, distributed piecewise linearly over the breast volume, produce a deformed FEM mesh that reasonably approximates nonrigid deformation of the breast tissue between the MRI and PET scans. This method, which does not require a biomechanical breast tissue model, is robust and fast. Contrary to other approaches utilizing voxel intensity-based similarity measures or surface matching, our method works for matching MR with pure molecular images (i.e. PET or SPECT only). Our method does not require a good initialization and would not be trapped by local minima during registration process. All processing including FSMs detection and matching, and mesh generation can be fully automated. We tested our method on MR and PET breast images acquired for 15 subjects. The procedure yielded good quality images with an average target registration error below 4 mm (i.e. well below PET spatial resolution of 6-7 mm). Based on the results obtained for 15 subjects studied to date, we conclude that this is a very fast and a well-performing method for MR-to-PET breast-image nonrigid registration. Therefore, it is a promising approach in clinical practice. This method can be easily applied to nonrigid registration of MRI or CT of any type of soft-tissue images to their molecular counterparts such as obtained using PET and SPECT.

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“…Therefore, the approximation order is the main parameter that rules the interpolation quality, as shown by many numerical evidences [6,16,10]. However, the size of the support of ϕ grows with L, thus a tradeoff between interpolation quality and computational complexity has to be achieved.…”

Section: Assessment Of the Interpolation Errormentioning

confidence: 99%

New optimized spline functions for interpolation on the hexagonal lattice

Condat

Ville²

2008

2008 15th IEEE International Conference on Image Processing

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We propose new discrete-to-continuous interpolation models for hexagonally sampled data, that generalize two families of splines developed in the literature for the hexagonal lattice, to say the hexsplines and three directional box-splines. This extension is inspired by the construction of MOMS functions in 1-D, that generalize and outperform classical 1-D B-splines [1]. Our new generators have optimal approximation theoretic performances, for exactly the same computation cost as their spline counterparts.

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Quantitative Comparison of Sinc-Approximating Kernels for Medical Image Interpolation

Cited by 45 publications

References 10 publications

Improved finite samples resampling for unbiased wide-band direction of arrival estimation

Improved finite samples resampling for unbiased wide-band direction of arrival estimation

Computerized method for nonrigid MR-to-PET breast-image registration

New optimized spline functions for interpolation on the hexagonal lattice

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