Two-Dimensional Direction-Based Interpolation with Local Centered Moments

Gao, Qinghuai; Yin, Fang‐Fang

doi:10.1006/gmip.1999.0504

Cited by 7 publications

(3 citation statements)

References 20 publications

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“…Cores can be extracted from the grey-level image (without segmentation) and used to interpolate intermediate parallel slices [148]. The idea of varying the direction of interpolation across the image has also been applied to this case [63]. Morphing (particularly known for its use in films such as Terminator II) has been used recently on object cross-sections to guide the interpolation [171].…”

Section: 2(f)mentioning

confidence: 99%

Volume Measurement in Sequential Freehand 3-D Ultrasound

Treece

Prager

Gee

et al. 1999

Lecture Notes in Computer Science

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SummaryThree-dimensional (3D) acquisition and visualisation techniques are increasingly being incorporated into commercial ultrasound scanners. The diagnostic benefit of such techniques is not yet convincing, compared to the added inconvenience of using them. Although it is straightforward to use special probes to acquire 3D data, these are more restrictive than conventional 2D probes. The only 3D technique which retains the scanning flexibility and wide area of application of 2D ultrasound, is freehand 3D ultrasound, where a 2D probe is moved manually and its location sensed remotely. However, it is hard to generate a regular volume of data from the resulting non-parallel ultrasound images.Probably the largest body of evidence justifying the use of 3D ultrasound relates to the accurate measurement of volume. However, volume measurement with 3D ultrasound requires segmentation (i.e. outlining of the area of interest), which is a time consuming, manual task. Both this problem, and that of creating a regular volume of data, are eased by the use of sequential freehand 3D ultrasound, a recent technique amplified in this thesis, where all the processing is performed on the original ultrasound images. Thus a regular array of data is not required, and segmentation is performed on images whose features and artifacts are recognisable to the clinician.In this thesis, novel volume measurement and surface visualisation algorithms are developed for sequential freehand 3D ultrasound. A particular emphasis is placed on limiting the number of segmented cross-sections required for a given measurement accuracy. Inherent accuracy is demonstrated by simulation to be within ±2%, from 10 or fewer cross-sections. In vivo precision, including registration and segmentation errors, is shown to be within ±7%, even on complicated objects such as the liver or a foetus, from similar numbers of cross-sections. The volume can be updated in real-time as each image is segmented, and surfaces can be interpolated and visualised within a few seconds. Such visualisation can reveal errors in the segmentation which are otherwise hard to see.In addition, a framework for multiple-sweep data is developed, which allows volume measurement and surface visualisation of anatomy that can only be scanned by several sweeps of the ultrasound probe. Accurate volume measurements can therefore be made of all areas observable by conventional ultrasound. These measurements can be accomplished within approximately 5 minutes of examining the patient.The surface visualisation algorithms can also produce high quality renderings of data from a wide range of sources in medical imaging and other fields. The interpolation of cross-sections is an improvement on shape-based interpolation, and the triangular mesh created from the data is of a much higher quality than that using marching cubes. An extension of the surface interpolation algorithm can also be used to gradually change, or 'morph' one 3D surface to another, a technique commonly used in the film industry.

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Section: 2(f)mentioning

confidence: 99%

Volume Measurement in Sequential Freehand 3-D Ultrasound

Treece

Prager

Gee

et al. 1999

Lecture Notes in Computer Science

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“…Some authors have applied geometric moments in a local fashion for image and texture segmentation [10], [11] and direction-based interpolation [12]. The idea there was to compute Manuscript received December 4, 2002; revised August 27, 2003.…”

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confidence: 99%

Multiresolution Moment Filters: Theory and Applications

Sühling

Arigovindan

Hunziker

et al. 2004

IEEE Trans. on Image Process.

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Abstract-We introduce local weighted geometric moments that are computed from an image within a sliding window at multiple scales. When the window function satisfies a two-scale relation, we prove that lower order moments can be computed efficiently at dyadic scales by using a multiresolution wavelet-like algorithm. We show that B-splines are well-suited window functions because, in addition to being refinable, they are positive, symmetric, separable, and very nearly isotropic (Gaussian shape). We present three applications of these multiscale local moments. The first is a feature-extraction method for detecting and characterizing elongated structures in images. The second is a noise-reduction method which can be viewed as a multiscale extension of Savitzky-Golay filtering. The third is a multiscale optical-flow algorithm that uses a local affine model for the motion field, extending the Lucas-Kanade optical-flow method. The results obtained in all cases are promising.

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“…Some authors have also applied moments in a local fashion for image segmentation [4] and direction-based interpolation [5]. The idea there was to compute moments locally over some square region of interest which is moved over the image; the observation windows may be overlapping or not depending on the application.…”

Section: Introductionmentioning

confidence: 99%

Multiresolution moment filters

Sühling

Arigovindan

Hunziker

et al.

Proceedings. International Conference on Image Processing

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We define multi-scale moments that are estimated locally by analyzing the image through a sliding window at multiple scales. When the analysis window satisfies a two-scale relation, we prove that these moments can be computed very efficiently using a multiresolution wavelet-like algorithm. We also show that B-spline windows are best suited for this kind of analysis because, in addition to being refinable, they are positive, symmetric and very nearly isotropic. We present two applications of our method. The first is a feature extraction method for detecting strands of DNA in noisy cryoelectron-micrographs. The second is an extension of the LucasKanade optical flow algorithm that assumes a local affine model of the motion field. The results obtained in both cases are very promising.

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Two-Dimensional Direction-Based Interpolation with Local Centered Moments

Cited by 7 publications

References 20 publications

Volume Measurement in Sequential Freehand 3-D Ultrasound

Volume Measurement in Sequential Freehand 3-D Ultrasound

Multiresolution Moment Filters: Theory and Applications

Multiresolution moment filters

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