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Volumn 16, Issue 6, 2007, Pages 1481-1495

An image morphing technique based on optimal mass preserving mapping

Author keywords

Image interpolation; Image morphing; Image warping; Mass preserving mapping; Monge Kantorovich flow; Optimal transport

Indexed keywords

COMPUTER GRAPHICS; FINITE ELEMENT METHOD; IMAGE QUALITY; ITERATIVE METHODS; MAPPING;

EID: 34249287065     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2007.896637     Document Type: Article
Times cited : (69)

References (41)
  • 1
    • 1342309266 scopus 로고    scopus 로고
    • Minimizing flows for the Monge-Kantorovich problem
    • S. Angenent, S. Haker, and A. Tannenbaum, "Minimizing flows for the Monge-Kantorovich problem," SIAM J. Math. Anal., vol. 35, no. 1, pp. 61-97, 2003.
    • (2003) SIAM J. Math. Anal , vol.35 , Issue.1 , pp. 61-97
    • Angenent, S.1    Haker, S.2    Tannenbaum, A.3
  • 2
    • 0026887590 scopus 로고
    • Feature-based image metamorphosis
    • T. Beier and S. Neely, "Feature-based image metamorphosis," in Proc. SIGGRAPH, 1992, vol. 26, pp. 35-42.
    • (1992) Proc. SIGGRAPH , vol.26 , pp. 35-42
    • Beier, T.1    Neely, S.2
  • 3
    • 0034407460 scopus 로고    scopus 로고
    • A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
    • J. D. Benamou and Y. Brenier, "A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem," Numer. Math., vol. 84, pp. 375-393, 2000.
    • (2000) Numer. Math , vol.84 , pp. 375-393
    • Benamou, J.D.1    Brenier, Y.2
  • 4
    • 0030151628 scopus 로고    scopus 로고
    • Optical flow computation using extended constraints
    • May
    • A. Bimbo, "Optical flow computation using extended constraints," IEEE Trans. Image Process., vol. 5, no. 5, pp. 720-739, May 1996.
    • (1996) IEEE Trans. Image Process , vol.5 , Issue.5 , pp. 720-739
    • Bimbo, A.1
  • 5
    • 84990623199 scopus 로고
    • Polar factorization and monotone rearrangement of vector-valued functions
    • Y. Brenier, "Polar factorization and monotone rearrangement of vector-valued functions," Commun. Pure Appl. Math., vol. 64, pp. 375-417, 1991.
    • (1991) Commun. Pure Appl. Math , vol.64 , pp. 375-417
    • Brenier, Y.1
  • 6
    • 0030269623 scopus 로고    scopus 로고
    • Deformable templates using large deformation kinematics
    • Oct
    • G. E. Christensen, R. D. Babbitt, and M. I. Miller, "Deformable templates using large deformation kinematics," IEEE Trans. Image Process., vol. 5, no. 10, pp. 1435-1447, Oct. 1996.
    • (1996) IEEE Trans. Image Process , vol.5 , Issue.10 , pp. 1435-1447
    • Christensen, G.E.1    Babbitt, R.D.2    Miller, M.I.3
  • 7
    • 0021641025 scopus 로고
    • An extended lagrangian theory of semi-geostrophic frontogenesis
    • M. Cullen and R. Purser, "An extended lagrangian theory of semi-geostrophic frontogenesis," J. Atmos. Sci., vol. 41, pp. 1477-1497, 1984.
    • (1984) J. Atmos. Sci , vol.41 , pp. 1477-1497
    • Cullen, M.1    Purser, R.2
  • 8
    • 84902738914 scopus 로고
    • On a partial differential equation involving the Jacobian determinant
    • B. Dacorogna and J. Moser, "On a partial differential equation involving the Jacobian determinant," Ann. Inst. H. Poincaré Anal. Non Linéaire, vol. 7, pp. 1-26, 1990.
    • (1990) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.7 , pp. 1-26
    • Dacorogna, B.1    Moser, J.2
  • 10
    • 12844262154 scopus 로고    scopus 로고
    • Target-driven smoke animation
    • R. Fattal and D. Lischinski, "Target-driven smoke animation," ACM Trans. Graph., vol. 23, no. 3, pp. 441-448, 2004.
    • (2004) ACM Trans. Graph , vol.23 , Issue.3 , pp. 441-448
    • Fattal, R.1    Lischinski, D.2
  • 11
    • 0001103156 scopus 로고    scopus 로고
    • The geometry of optimal transportation
    • W. Gangbo and R. McCann, "The geometry of optimal transportation," Acta Math., vol. 177, pp. 113-161, 1996.
    • (1996) Acta Math , vol.177 , pp. 113-161
    • Gangbo, W.1    McCann, R.2
  • 12
    • 6344239178 scopus 로고    scopus 로고
    • Numerical methods for volume preserving image registration
    • E. Haber and J. Mondersitzki, "Numerical methods for volume preserving image registration," Inv. Probl., vol. 20, pp. 1621-1638, 2004.
    • (2004) Inv. Probl , vol.20 , pp. 1621-1638
    • Haber, E.1    Mondersitzki, J.2
  • 13
    • 0034214884 scopus 로고    scopus 로고
    • Nondistorting flattening maps and the 3D visualization of colon CT images
    • Jul
    • S. Haker, S. Angenent, A. Tannenbaum, and R. Kikinis, "Nondistorting flattening maps and the 3D visualization of colon CT images," IEEE Trans. Med. Imag., vol. 19, no. 7, pp. 665-670, Jul. 2000.
    • (2000) IEEE Trans. Med. Imag , vol.19 , Issue.7 , pp. 665-670
    • Haker, S.1    Angenent, S.2    Tannenbaum, A.3    Kikinis, R.4
  • 14
    • 4043173501 scopus 로고    scopus 로고
    • Optimal mass transport for registration and warping
    • S. Haker, L. Zhu, A. Tannenbaum, and S. Angenent, "Optimal mass transport for registration and warping," Int. J. Comput. Vis., vol. 60, no. 3, pp. 225-240, 2004.
    • (2004) Int. J. Comput. Vis , vol.60 , Issue.3 , pp. 225-240
    • Haker, S.1    Zhu, L.2    Tannenbaum, A.3    Angenent, S.4
  • 15
    • 85034651032 scopus 로고    scopus 로고
    • Image morphing of facial images transformation based on navier elastic body splines
    • A. Hassanien and M. Nakajima, "Image morphing of facial images transformation based on navier elastic body splines," in Proc. IEEE Computer Animation, 1998, vol. 8, pp. 119-125.
    • (1998) Proc. IEEE Computer Animation , vol.8 , pp. 119-125
    • Hassanien, A.1    Nakajima, M.2
  • 16
    • 0036891787 scopus 로고    scopus 로고
    • A variational approach to multi-modal image matching
    • G. Hermosillo, C. Chefd'Hotel, and O. Faugeras, "A variational approach to multi-modal image matching," Int. J. Comput. Vis., vol. 50, no. 3, pp. 329-343, 2002.
    • (2002) Int. J. Comput. Vis , vol.50 , Issue.3 , pp. 329-343
    • Hermosillo, G.1    Chefd'Hotel, C.2    Faugeras, O.3
  • 17
    • 84961889403 scopus 로고    scopus 로고
    • Image morphing based on morphological interpolation combined with linear filtering,
    • M. Iwanowski, "Image morphing based on morphological interpolation combined with linear filtering,," J. WSCG, 2002.
    • (2002) J. WSCG
    • Iwanowski, M.1
  • 18
    • 0032154770 scopus 로고    scopus 로고
    • Computing the Kantorovich distance for images
    • T. Kaijser, "Computing the Kantorovich distance for images," J. Math. Imag. Vis., vol. 9, pp. 173-191, 1998.
    • (1998) J. Math. Imag. Vis , vol.9 , pp. 173-191
    • Kaijser, T.1
  • 19
    • 0001010507 scopus 로고
    • On a problem of Monge
    • L. Kantorovich, "On a problem of Monge," Uspekhi Mat. Nauk., vol. 3, pp. 225-226, 1948.
    • (1948) Uspekhi Mat. Nauk , vol.3 , pp. 225-226
    • Kantorovich, L.1
  • 20
    • 0021421774 scopus 로고
    • On the optimal mapping of distributions
    • M. Knott and C. Smith, "On the optimal mapping of distributions," J. Optim. Theory, vol. 43, pp. 39-49, 1984.
    • (1984) J. Optim. Theory , vol.43 , pp. 39-49
    • Knott, M.1    Smith, C.2
  • 21
    • 24044504450 scopus 로고    scopus 로고
    • Image morphing using deformation techniques
    • S.-Y. Lee, K.-Y. Chwa, J. Hahn, and S. Y. Shin, "Image morphing using deformation techniques," J. Vis. Comput. Anim., vol. 7, no. 1, pp. 3-23, 1996.
    • (1996) J. Vis. Comput. Anim , vol.7 , Issue.1 , pp. 3-23
    • Lee, S.-Y.1    Chwa, K.-Y.2    Hahn, J.3    Shin, S.Y.4
  • 22
    • 0034843832 scopus 로고    scopus 로고
    • The earth mover's distance is the mallow's distance: Some insights from statistics
    • E. Levina and P. Bickel, "The earth mover's distance is the mallow's distance: Some insights from statistics," in Proc. IEEE Int. Conf. Computer Vision, 2001, pp. 251-256.
    • (2001) Proc. IEEE Int. Conf. Computer Vision , pp. 251-256
    • Levina, E.1    Bickel, P.2
  • 23
    • 0035618489 scopus 로고    scopus 로고
    • Polar factorization of maps on riemannian manifolds
    • R. McCann, "Polar factorization of maps on riemannian manifolds," Geom. Funct. Anal., vol. 11, pp. 589-608, 2001.
    • (2001) Geom. Funct. Anal , vol.11 , pp. 589-608
    • McCann, R.1
  • 24
    • 12844263396 scopus 로고    scopus 로고
    • Fluid control using the adjoint method
    • A. McNamara, A. Treuille, Z. Popovic, and J. Stam, "Fluid control using the adjoint method," ACM Trans. Graph., vol. 23, no. 3, pp. 449-456, 2004.
    • (2004) ACM Trans. Graph , vol.23 , Issue.3 , pp. 449-456
    • McNamara, A.1    Treuille, A.2    Popovic, Z.3    Stam, J.4
  • 25
    • 0034980880 scopus 로고    scopus 로고
    • Group actions, homeomorphisms, and matching: A general framework
    • M. I. Miller and L. Younes, "Group actions, homeomorphisms, and matching: A general framework," Int. J. Comput. Vis., vol. 41, no. 1-2, pp. 61-84, 2001.
    • (2001) Int. J. Comput. Vis , vol.41 , Issue.1-2 , pp. 61-84
    • Miller, M.I.1    Younes, L.2
  • 27
    • 0004174889 scopus 로고    scopus 로고
    • Perceptual metrics for image database navigation,
    • Ph.D. dissertation, Stanford Univ, Stanford, CA, May
    • Y. Rubner, "Perceptual metrics for image database navigation," Ph.D. dissertation, Stanford Univ., Stanford, CA,, May 1999.
    • (1999)
    • Rubner, Y.1
  • 28
    • 0003792599 scopus 로고    scopus 로고
    • The Earth Mover's Distance as a Metric for Image Retrieval
    • Tech. Rep. STAN-CS-TN-98-86 Dept. Comput. Sci, Stanford Univ, Stanford, CA, Sep
    • Y. Rubner, C. Tomasi, and J. Guibas, "The Earth Mover's Distance as a Metric for Image Retrieval," Tech. Rep. STAN-CS-TN-98-86 Dept. Comput. Sci., Stanford Univ., Stanford, CA, Sep. 1998.
    • (1998)
    • Rubner, Y.1    Tomasi, C.2    Guibas, J.3
  • 30
    • 0031060811 scopus 로고    scopus 로고
    • Deformable 2-d template matching using orthogonal curves
    • Jan
    • H. Tagare, "Deformable 2-d template matching using orthogonal curves," IEEE Trans. Med. Imag., vol. 16, no. 1, pp. 108-117, Jan. 1997.
    • (1997) IEEE Trans. Med. Imag , vol.16 , Issue.1 , pp. 108-117
    • Tagare, H.1
  • 31
    • 0003724235 scopus 로고    scopus 로고
    • San Diego, CA: Academic
    • A. Toga, Brain Warping. San Diego, CA: Academic, 1999.
    • (1999) Brain Warping
    • Toga, A.1
  • 32
    • 0032115435 scopus 로고    scopus 로고
    • Diffeomorphism groups and pattern matching in image analysis
    • A. Trouve, "Diffeomorphism groups and pattern matching in image analysis," Int. J. Comput. Vis., vol. 28, no. 3, pp. 213-221, 1998.
    • (1998) Int. J. Comput. Vis , vol.28 , Issue.3 , pp. 213-221
    • Trouve, A.1
  • 33
    • 33750549211 scopus 로고    scopus 로고
    • Keyframe control of smoke simulations
    • A. Treuille, A. McNamara, Z. Popovic, and J. Stam, "Keyframe control of smoke simulations," ACM Trans. Graph., vol. 22, no. 3, pp. 716-723, 2003.
    • (2003) ACM Trans. Graph , vol.22 , Issue.3 , pp. 716-723
    • Treuille, A.1    McNamara, A.2    Popovic, Z.3    Stam, J.4
  • 34
    • 0031221119 scopus 로고    scopus 로고
    • Alignment by maximization of mutual information
    • P. Viola and W. M. Wells, III, "Alignment by maximization of mutual information," Int. J. Comput. Vis., vol. 24, no. 2, pp. 137-154, 1997.
    • (1997) Int. J. Comput. Vis , vol.24 , Issue.2 , pp. 137-154
    • Viola, P.1    Wells III, W.M.2
  • 35
    • 0029717980 scopus 로고    scopus 로고
    • Recent advances in image morphing
    • IEEE
    • G. Wolberg, "Recent advances in image morphing," in Proc. Int. Conf. Comput. Graph., 1996, pp. 64-71, IEEE.
    • (1996) Proc. Int. Conf. Comput. Graph , pp. 64-71
    • Wolberg, G.1
  • 36
    • 0141920425 scopus 로고    scopus 로고
    • An eulerian PDE approach for computing tissue thickness
    • Oct
    • A. Yezzi and J. Prince, "An eulerian PDE approach for computing tissue thickness," IEEE Trans. Med. Imag., vol. 22, no. 10, pp. 1332-1339, Oct. 2003.
    • (2003) IEEE Trans. Med. Imag , vol.22 , Issue.10 , pp. 1332-1339
    • Yezzi, A.1    Prince, J.2
  • 37
    • 0036871749 scopus 로고    scopus 로고
    • 3-D face structure extraction and recognition from images using 3-D morphing and distance mapping
    • Nov
    • C. Zhang and F. S. Cohen, "3-D face structure extraction and recognition from images using 3-D morphing and distance mapping," IEEE Trans. Image Process., vol. 11, no. 11, pp. 1249-1259, Nov. 2002.
    • (2002) IEEE Trans. Image Process , vol.11 , Issue.11 , pp. 1249-1259
    • Zhang, C.1    Cohen, F.S.2
  • 38
    • 33745693589 scopus 로고    scopus 로고
    • On visualizing branched surface: An angle/area preserving approach,
    • Ph.D. dissertation, Georgia Inst. Technol, Atlanta
    • L. Zhu, "On visualizing branched surface: An angle/area preserving approach," Ph.D. dissertation, Georgia Inst. Technol., Atlanta, 2004.
    • (2004)
    • Zhu, L.1
  • 39
    • 17444390465 scopus 로고    scopus 로고
    • Flattening maps for the visualization of multibranched vessels
    • Feb
    • L. Zhu, S. Haker, and A. Tannenbaum, "Flattening maps for the visualization of multibranched vessels," IEEE Trans. Med. Imag., vol. 24, no. 2, pp. 191-198, Feb. 2005.
    • (2005) IEEE Trans. Med. Imag , vol.24 , Issue.2 , pp. 191-198
    • Zhu, L.1    Haker, S.2    Tannenbaum, A.3
  • 40
    • 20444464418 scopus 로고    scopus 로고
    • Image morphing based on mutual information and optimal mass transport
    • L. Zhu, Y. Yang, A. Tannenbaum, and S. Haker, "Image morphing based on mutual information and optimal mass transport," in Proc. Int. Conf. Image Process., 2004, pp. 1675-1678.
    • (2004) Proc. Int. Conf. Image Process , pp. 1675-1678
    • Zhu, L.1    Yang, Y.2    Tannenbaum, A.3    Haker, S.4
  • 41
    • 33744792962 scopus 로고    scopus 로고
    • Mass preserving registration for heart MR images
    • L. Zhu, S. Haker, and A. Tannenbaum, "Mass preserving registration for heart MR images," in Proc. MICCAI, pp. 147-154.
    • Proc. MICCAI , pp. 147-154
    • Zhu, L.1    Haker, S.2    Tannenbaum, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.