메뉴 건너뛰기




Volumn , Issue , 2011, Pages 24-31

Multi-parametric mr image processing using higher dimensional vector algebra

Author keywords

Magnetic resonance imaging (MRI); Medical image processing; Multi parametric; Quaternion; Trinion

Indexed keywords

GLIOBLASTOMA MULTIFORME; HIGHER ORDER; HIGHER-DIMENSIONAL; MAGNETIC RESONANCE IMAGES; MEDICAL IMAGE PROCESSING; MR IMAGES; MULTI PARAMETRIC; MULTICOMPONENTS; PRELIMINARY ANALYSIS; QUATERNION; SIGNALS OF INTERESTS; TRINION;

EID: 80052140266     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2316/P.2011.737-023     Document Type: Conference Paper
Times cited : (2)

References (18)
  • 1
    • 77955148251 scopus 로고    scopus 로고
    • Multiparametric imaging of tumor response to therapy
    • A. R. Padhani & K. A. Miles, Multiparametric Imaging of Tumor Response to Therapy, Radiology, 256(2), 2010, 348-364.
    • (2010) Radiology , vol.256 , Issue.2 , pp. 348-364
    • Padhani, A.R.1    Miles, K.A.2
  • 2
    • 33847626281 scopus 로고    scopus 로고
    • An objective method for combining multi-parametric MRI datasets to characterize malignant tumors
    • DOI 10.1118/1.2558301
    • K. M. McMillan, B. P. Rogers, C. G. Koay, A. R. Laird, R. R. Price & M. E. Meyerand, An objectivemethod for combining multi-parametricMRI datasets to characterize malignant tumors, Med. Phys., 34(3), 2007, 1053-1061. (Pubitemid 46355640)
    • (2007) Medical Physics , vol.34 , Issue.3 , pp. 1053-1061
    • McMillan, K.M.1    Rogers, B.P.2    Koay, C.G.3    Laird, A.R.4    Price, R.R.5    Elizabeth Meyerand, M.6
  • 3
    • 0035074072 scopus 로고    scopus 로고
    • A model for multiparametric MRI tissue characterization in experimental cerebral ischemia with histological validation in rat: Part 1
    • M. A. Jacobs, Z. G. Zhang, R. A. Knight, H. Soltanian-Zadeh, A. V. Goussev, D. J. Peck & M. Chopp, A Model for Multiparametric MRI Tissue Characterization in Experimental Cerebral Ischemia With Histological Validation in Rat Part 1, Stroke, vol. 32, 2001, 943-949. (Pubitemid 32285164)
    • (2001) Stroke , vol.32 , Issue.4 , pp. 943-949
    • Jacobs, M.A.1    Zhang, Z.G.2    Knight, R.A.3    Soltanian-Zadeh, H.4    Goussev, A.V.5    Peck, D.J.6    Chopp, M.7
  • 4
    • 12244256369 scopus 로고    scopus 로고
    • Multispectral magnetic resonance image analysis using principal component and linear discriminant analysis
    • DOI 10.1002/jmri.10237
    • H. Witjes, M. Rijpkema, M. van der Graaf, W. Melssen, A. Heerschap & L. Buydens, Multispectral Magnetic Resonance Image Analysis Using Principal Component and Linear Discriminant Analysis. Technical Note, Magn. Reson. Imaging, vol. 17, 2003, 261-269. (Pubitemid 36151015)
    • (2003) Journal of Magnetic Resonance Imaging , vol.17 , Issue.2 , pp. 261-269
    • Witjes, H.1    Rijpkema, M.2    Van Der Graaf, M.3    Melssen, W.4    Heerschap, A.5    Buydens, L.6
  • 6
    • 0035182704 scopus 로고    scopus 로고
    • Color enhancement of multispectral MR images: Improving the visualization of subcortical structures
    • DOI 10.1097/00004728-200111000-00018
    • J. Ward, V. Magnotta, N. C. Andreasen, W. Ooteman, P. Nopoulos & R. Pierson, Color enhancement of multispectral MR images: improving the visualization of subcortical structures, J. Comput. Assist. Tomo., 25(6), 2001, 942-949. (Pubitemid 33091673)
    • (2001) Journal of Computer Assisted Tomography , vol.25 , Issue.6 , pp. 942-949
    • Ward, J.1    Magnotta, V.2    Andreasen, N.C.3    Ooteman, W.4    Nopoulos, P.5    Pierson, R.6
  • 7
    • 0027810912 scopus 로고
    • Quaternion-fourier transforms for analysis of two-dimensional linear time-invariant partial differential systems
    • San Antonio, TX, USA
    • T. A. Ell, Quaternion-Fourier Transforms for Analysis of Two-Dimensional Linear Time-Invariant Partial Differential Systems, Proc. 32nd IEEE Conf. on Decision and Control, San Antonio, TX, USA, 1993, 1830-1841.
    • (1993) Proc. 32nd IEEE Conf. on Decision and Control , pp. 1830-1841
    • Ell, T.A.1
  • 8
    • 0032308308 scopus 로고    scopus 로고
    • The problem of defining the fourier transform of a color image
    • Chicago, IL, USA
    • S. J. Sangwine, The Problem of Defining the Fourier Transform of a Color Image, Proc. IEEE Int. Conf. Image Proc. (ICIP 98), Chicago, IL, USA, vol. 1, 1998, 171-175.
    • (1998) Proc. IEEE Int. Conf. Image Proc. (ICIP 98) , vol.1 , pp. 171-175
    • Sangwine, S.J.1
  • 9
    • 34548099156 scopus 로고    scopus 로고
    • Quaternion fourier transform on quaternion fields and generalizations
    • E. M. S. Hitzer, Quaternion Fourier Transform on Quaternion Fields and Generalizations, J. Adv. Appl. Cliff. Alg., 17(3), 2007, 497-517.
    • (2007) J. Adv. Appl. Cliff. Alg. , vol.17 , Issue.3 , pp. 497-517
    • Hitzer, E.M.S.1
  • 10
    • 22944487903 scopus 로고    scopus 로고
    • Geometric Computing with Clifford Algebras: Theoretical Foundations and Applications in Computer Vision and Robotics, Springer, London
    • M. Felsberg, T. Bülow & G. Sommer, Commutative hypercomplex Fourier transform of multidimensional signals (in:Geometric Computing with Clifford Algebras: Theoretical Foundations and Applications in Computer Vision and Robotics, Springer, London, 2001, 209-229).
    • (2001) Commutative Hypercomplex Fourier Transform of Multidimensional Signals , pp. 209-229
    • Felsberg, M.1    Bülow, T.2    Sommer, G.3
  • 12
    • 79955473108 scopus 로고    scopus 로고
    • The trinion Fourier transform of color images
    • in Press, DOI:10.1016/j.sigpro.2011.02.011
    • Dawit Assefa, L. Mansinha, K. F. Tiampo, H. Rasmussen & K. Abdella, The trinion Fourier transform of color images, in Press, Signal Proc., 2011, DOI:10.1016/j.sigpro.2011.02.011.
    • (2011) Signal Proc.
    • Assefa, D.1    Mansinha, L.2    Tiampo, K.F.3    Rasmussen, H.4    Abdella, K.5
  • 13
    • 0004219860 scopus 로고
    • Hodges and Smith, Dublin, [Online].Available
    • W. R. Hamilton, Lectures on Quaternions (Hodges and Smith, Dublin, 1853) [Online].Available: http://historical.library.cornell.edu/.
    • (1853) Lectures on Quaternions
    • Hamilton, W.R.1
  • 14
    • 33847695369 scopus 로고    scopus 로고
    • Hypercomplex Fourier transforms of color images
    • DOI 10.1109/TIP.2006.884955
    • T. A. Ell & S. J. Sangwine, Hypercomplex Fourier transforms of color images, IEEE Trans. Image Process., 16(1), 2007, 22-35. (Pubitemid 46437466)
    • (2007) IEEE Transactions on Image Processing , vol.16 , Issue.1 , pp. 22-35
    • Ell, T.A.1    Sangwine, S.J.2
  • 15
    • 76749104248 scopus 로고    scopus 로고
    • Local quaternion Fourier transform and color image texture analysis
    • Dawit Assefa, L. Mansinha, K. F. Tiampo, H. Rasmussen & K. Abdella, Local Quaternion Fourier Transform and Color Image Texture Analysis, Signal Proc., 90(6), 2010, 1825-1835.
    • (2010) Signal Proc. , vol.90 , Issue.6 , pp. 1825-1835
    • Assefa, D.1    Mansinha, L.2    Tiampo, K.F.3    Rasmussen, H.4    Abdella, K.5
  • 16
    • 3142691998 scopus 로고    scopus 로고
    • Commutative reduced biquaternions and their Fourier transform for signal and image processing applications
    • S.-C. Pei, J. H. Chang & J. J. Ding, Commutative reduced biquaternions and their Fourier transform for signal and image processing applications, IEEE Trans. Signal Proc., 52(7), 2004, 2012-2031.
    • (2004) IEEE Trans. Signal Proc. , vol.52 , Issue.7 , pp. 2012-2031
    • Pei, S.-C.1    Chang, J.H.2    Ding, J.J.3
  • 17
    • 77952323600 scopus 로고    scopus 로고
    • Finding 3 × 3 Hermitian matrices over the octonions with imaginary eigenvalues
    • H. Gillow-Wiles & T. Dray, Finding 3 × 3 Hermitian Matrices over the Octonions with Imaginary Eigenvalues, Adv. Appl. Cliff. Alg., 20(2), 2010, 247-254.
    • (2010) Adv. Appl. Cliff. Alg. , vol.20 , Issue.2 , pp. 247-254
    • Gillow-Wiles, H.1    Dray, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.