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Improved tensor scale computation with application to medical image interpolation

Ziyue Xu, Milan Sonka, Punam K. Saha
2011 Computerized Medical Imaging and Graphics  
Here, we present an improved algorithm for t-scale computation and study its application to image interpolation.  ...  with those of current state-of-the-art interpolation methods.  ...  Acknowledgments This work is partly supported by internal funds from the Departments of Radiology and Electrical & Computer Engineering at the University of Iowa.  ... 
doi:10.1016/j.compmedimag.2010.09.007 pmid:20961733 pmcid:PMC3090042 fatcat:fivdrjxnibhfvox6zta7com524

Tensor scale: An analytic approach with efficient computation and applications

Ziyue Xu, Punam K. Saha, Soura Dasgupta
2012 Computer Vision and Image Understanding  
Also, the application of tensor scale in 3-D using the previous framework is not practical due to high computational complexity.  ...  Finally, the applications of tensor scale in image filtering and n-linear interpolation are presented and the performance of their results is examined in comparison with respective state-of-art methods  ...  computer vision applications including image filtering and interpolation.  ... 
doi:10.1016/j.cviu.2012.05.006 pmid:26236148 pmcid:PMC4519998 fatcat:azmx3kkdrvcvzftowvuif3xtby

Improved Correspondence for DTI Population Studies Via Unbiased Atlas Building [chapter]

Casey Goodlett, Brad Davis, Remi Jean, John Gilmore, Guido Gerig
2006 Lecture Notes in Computer Science  
We present a method for automatically finding correspondence in Diffusion Tensor Imaging (DTI) from deformable registration to a common atlas.  ...  The registration image match metric uses a feature detector for thin fiber structures of white matter, and interpolation and averaging of diffusion tensors use the Riemannian symmetric space framework.  ...  This work is part of the National Alliance for Medical Image Computing (NA-MIC), funded by the National Institutes of Health through the NIH Roadmap for Medical Research, Grant U54 EB005149.  ... 
doi:10.1007/11866763_32 fatcat:i5lckqzjargwdja56deynlsmj4

Sampling and Visualizing Creases with Scale-Space Particles

G.L. Kindlmann, R.S.J. Estepar, S.M. Smith, C.-F. Westin
2009 IEEE Transactions on Visualization and Computer Graphics  
The configuration of the particle system is visualized with tensor glyphs that display information about the local Hessian of the image, and the scale of the particle.  ...  To make scale-space practical for large three-dimensional data, we present a spline-based interpolation across scale from a small number of pre-computed blurrings at optimally selected scales.  ...  Scale-space particles use Hermite interpolation with optimized non-uniform samples for greatly improved accuracy.  ... 
doi:10.1109/tvcg.2009.177 pmid:19834216 pmcid:PMC2891996 fatcat:bingkvver5ctpenvsuioydtdoa

Reconstruction of Large, Irregularly Sampled Multidimensional Images. A Tensor-Based Approach

O V Morozov, M Unser, P Hunziker
2011 IEEE Transactions on Medical Imaging  
Many practical applications require the reconstruction of images from irregularly sampled data.  ...  After validating the proposed algorithm in 3-D and 4-D, we apply it to a concrete imaging problem: the reconstruction of medical ultrasound images (3-D+time) from a large set of irregularly sampled measurements  ...  ACKNOWLEDGMENT The authors would like to thank P. Cattin and B. Krenning for providing 4-D data sets used for evaluation of presented reconstruction algorithm.  ... 
doi:10.1109/tmi.2010.2078832 pmid:20876011 fatcat:k2lm56amg5dxpb4rm7zs24cism

Recent improvements in tensor scale computation and its applications to medical imaging

Ziyue Xu, Milan Sonka, Punam K. Saha, Josien P. W. Pluim, Benoit M. Dawant
2009 Medical Imaging 2009: Image Processing  
Also, t-scale has been applied to computing the deformation vector field with applications to medical image registration.  ...  Tensor scale (t-scale) is a local morphometric parameter describing local structure shape, orientation and scale.  ...  Tensor scale is a valuable feature associated with every image point and is potentially useful in several image processing and computer vision applications, especially the medical imaging applications  ... 
doi:10.1117/12.811360 dblp:conf/miip/XuSS09 fatcat:egx3kixxnzg6jppaomw22h4j2q

DT-REFinD: Diffusion Tensor Registration With Exact Finite-Strain Differential

B.T.T. Yeo, T. Vercauteren, P. Fillard, J.-M. Peyrat, X. Pennec, P. Golland, N. Ayache, O. Clatz
2009 IEEE Transactions on Medical Imaging  
Unlike scalar images, deforming tensor images requires choosing both a reorientation strategy and an interpolation scheme.  ...  Alignment quality is assessed with a battery of metrics including tensor overlap, fractional anisotropy, inverse consistency and closeness to synthetic warps.  ...  Yeo would like to thank C.-F. Westin, G. Kindlmann, and M. Sabuncu for useful discussions and feedback.  ... 
doi:10.1109/tmi.2009.2025654 pmid:19556193 pmcid:PMC4038650 fatcat:rzwlqekafbh4zhlqgquomsylza

Bilateral Filtering of Diffusion Tensor Magnetic Resonance Images

Ghassan Hamarneh, Judith Hradsky
2007 IEEE Transactions on Image Processing  
We extend the well-known scalar image bilateral filtering technique to diffusion tensor magnetic resonance images (DTMRI).  ...  Analogous to bilateral filtering of scalar images, the weights are chosen to be inversely proportional to two distance measures: The geometrical Euclidean distance between the spatial locations of tensors  ...  Hasan, Department of Diagnostic and Interventional Imaging, University of Texas Medical School at Houston, for providing the brain DTMRI data, and Z. Fang and M.  ... 
doi:10.1109/tip.2007.904964 pmid:17926929 fatcat:2ab76pl5jvhofbw6z7qkm7owzi

Non-rigid registration of medical images based on $$ {S}_2^1\left({\Delta}_{mn}^{(2)}\right) $$ non-tensor product B-spline

Qi Zheng, Chaoyue Liu, Jincai Chang
2022 Visual Computing for Industry, Biomedicine, and Art  
The algorithm performs completely automatic non-rigid registration of computed tomography and magnetic resonance imaging images of patients.  ...  For certain problems, using non-tensor product B-splines to describe the non-rigid deformation of an image can more accurately extract the four-directional information of the image, thereby describing  ...  Acknowledgments The authors thank Tangshan Gongren Hospital for their support with the original data.  ... 
doi:10.1186/s42492-022-00101-8 pmid:35106680 pmcid:PMC8807800 fatcat:u3tq6wdadjhl5dwuc766gkxjoy

Splines: a perfect fit for medical imaging

Michael A. Unser, Milan Sonka, J. Michael Fitzpatrick
2002 Medical Imaging 2002: Image Processing  
They are widely used in computer-aided design and computer graphics, but have been neglected in medical imaging applications, mostly as a consequence of what one may call the "bad press" phenomenon.  ...  Splines, which were invented by Schoenberg more than fifty years ago, constitute an elegant framework for dealing with interpolation and discretization problems.  ...  Since quality is a major concern with medical images, it therefore makes good sense to use them in applications.  ... 
doi:10.1117/12.467162 dblp:conf/miip/Unser02 fatcat:vl42l7n4fjfv5bonfqrh7yfthq

Estimating intensity variance due to noise in registered images

Gustavo K. Rohde, Alan S. Barnett, Peter J. Basser, Carlo Pierpaoli, J. Michael Fitzpatrick, Joseph M. Reinhardt
2005 Medical Imaging 2005: Image Processing  
This is usually done by applying a spatial transformation, computed automatic or manually, to a given image using a continuous image model computed either with interpolation or approximation methods.  ...  Our approach is applied to diffusion tensor (DT) MRI data.  ...  The methods described here could also be useful in other biomedical imaging applications such as MR relaxometry, fMRI data analysis, voxel based morphometry, etc.  ... 
doi:10.1117/12.593635 dblp:conf/miip/RohdeBBP05 fatcat:4uey2n62d5banjdh4ypfbc6l6m

Non-Euclidean statistical analysis of covariance matrices and diffusion tensors [article]

Ian L. Dryden, Alexey Kolydenko, Diwei Zhou, Bai Li
2010 arXiv   pre-print
The statistical analysis of covariance matrices occurs in many important applications, e.g. in diffusion tensor imaging and longitudinal data analysis.  ...  There are many choices of metric available, each with its advantages. The particular choice of what is best will depend on the particular application.  ...  ., 2007) , which has been used in diffusion tensor analysis in medical imaging with k = 3. Alternatively one could consider tanh(GA) (Batchelor et al., 2005) which is on the scale [0, 1).  ... 
arXiv:1010.3955v1 fatcat:6k76hdbrgza6rac5t4s7yfktze

Structure tensor based image interpolation method

Ahmadreza Baghaie, Zeyun Yu
2015 AEU - International Journal of Electronics and Communications  
Due to application of the isotropic Gaussian filter, the classification is robust to noise presented in image.  ...  Using an isotropic Gaussian filter, the structure tensor at each pixel of the input image is computed and the pixels are classified to three distinct classes; uniform region, corners and edges, according  ...  INTRODUCTION Feature preserving image interpolation is an active area in the image processing field, from everyday digital pictures to application-oriented medical and satellite images.  ... 
doi:10.1016/j.aeue.2014.10.022 fatcat:ocsuymdo3nf2dpa6bfphfgjuvm

A Tucker decomposition process for probabilistic modeling of diffusion magnetic resonance imaging [article]

Hernan Dario Vargas Cardona, Mauricio A. Alvarez, Alvaro A. Orozco
2016 arXiv   pre-print
Diffusion magnetic resonance imaging (dMRI) is an emerging medical technique used for describing water diffusion in an organic tissue. Typically, rank-2 tensors quantify this diffusion.  ...  To overcome this limitation, several researchers proposed a diffusion representation with higher order tensors (HOT), specifically 4th and 6th orders.  ...  Also, in image registration algorithms or any application where it is required to estimate data among nearby tensors of the field [26] .  ... 
arXiv:1606.07970v1 fatcat:i3yqlbfs3ngwdiwyr74zh35fyq

Painterly rendering with coherence for augmented reality

Jiajian Chen, Greg Turk, Blair MacIntyre
2010 2010 IEEE International Symposium on Mixed and Augmented Reality  
We use tensor field pyramids to interpolate sparse tensor field values over the frame to avoid the numeric problems caused by global radial basis interpolation in existing algorithms.  ...  We present a painterly rendering algorithm for AR applications. This algorithm paints composed AR video frames with bump-mapping curly brushstrokes.  ...  basis interpolation to compute its tensor, but we search only a small 5 × 5 window patch centered at this region.  ... 
doi:10.1109/ismar.2010.5643575 dblp:conf/ismar/ChenTM10 fatcat:mha3ndvgsnhcboo3sb46aicp6i
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