Professor Rick Millane
Selected Publications
Books and special issues edited
R.P. Millane and M.A. Fiddy (Eds.). Feature Issue on “Signal Recovery and Synthesis,” J. Opt. Soc. Am. A, Vol. 16, pp. 1741-1872, July 1999.
M.A. Fiddy and R.P. Millane (Eds.). Image Reconstruction from Incomplete Data, Proc. SPIE, Vol. 4123, 2000, 308 pp.
P.J. Bones, M.A. Fiddy and R.P. Millane (Eds.). Image Reconstruction from Incomplete Data II, Proc. SPIE, Vol. 4792, 2002, 226 pp.
P.J. Bones, M.A. Fiddy and R.P. Millane (Eds.). Image Reconstruction from Incomplete Data III, Proc. SPIE, Vol. 5562, 2004, 230 pp.
P.J. Bones, M.A. Fiddy and R.P. Millane (Eds.). Image Reconstruction from Incomplete Data IV, Proc. SPIE, Vol. 6316, 2006, 236 pp.
P.J. Bones, M.A. Fiddy and R.P. Millane (Eds.). Image Reconstruction from Incomplete Data V, Proc. SPIE, Vol. 7076, 2008.
Image reconstruction, phase retrievel, deconvolution
R.P. Millane. Phase Retrieval in Crystallography and Optics. J. Opt. Soc. Am. A. Special Issue on Signal Recovery and Synthesis, 7, 394-411 (1990). pdf (3mb).
R.P. Millane. Phase problems for periodic images: Effects of support and symmetry. J. Opt. Soc. Am. A. Special Issue on Signal Recovery and Synthesis, 10, 1037-1045 (1993). pdf (1mb).
R.P. Millane. Analytic properties of the Hartley transform and their implications. Proc. IEEE, Invited for Special Section on The Hartley Transform, 82, 413-428 (1994). pdf (1 mb).
R.P. Millane, P.J. Bones and H. Jiang. Blind Deconvolution for Multidimensional Images. In “Proc.1994 International Conf. Acoust., Speech and Signal Process.,” Vol. 5, 445-448, 1994.
R.P. Millane. Aspects of image reconstruction from nonuniform samples. In "Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems", R.L. Barbour, M.J. Carvlin and M.A. Fiddy (Eds.), Proc. SPIE, Vol. 2570, 385-391, 1995.
R.P. Millane. Multidimensional phase problems. J. Opt. Soc. Am. A, 13, 725-734 (1996). pdf (635 kb).
R.P. Millane and W.J. Stroud. Reconstructing symmetric images from their undersampled Fourier intensities. J. Opt. Soc. Am. A, 14, 568-579 (1997). pdf (633 kb)
S. Baskaran and R.P. Millane. Bayesian image reconstruction from partial image and aliased spectral intensity data. IEEE Trans. Image Process, 8, 1420-1434 (1999). pdf (1 mb).
S. Baskaran and R.P. Millane. Model bias in Bayesian image reconstruction from x-ray fiber diffraction data. J. Opt. Soc. Am. A, 16, 236-245 (1999). pdf (932 kb).
R.P. Millane. Redundancy in Multidimensional Deconvolution and Phase Retrieval. In “Digital Image Synthesis and Inverse Optics,” A.F. Gmitro, P.S. Idell and I. LaHaie (Eds.), Proc. SPIE, Vol. 1351, 227-236, 1990. Also in “Selected SPIE Papers on CD-ROM,” Vol. 8, “Mathematical Imaging and Vision,” G. Ritter (Ed.), 1999
N.D. Blakeley, P.J. Bones, R.P. Millane and P. Renaud. Efficient frequency-domain sample selection for recovering limited-support images. J. Opt. Soc. Am. A, 20, 67-77 (2003). pdf (471 kb).
R.P. Millane and W.H. Hsiao. On apparent counterexamples to phase dominance. J. Opt. Soc. Am. A, 20, 753-756 (2003). pdf (321 kb).
R.P. Millane. Iterative projection algorithms for solving inverse problems. Proc. Oceans 2003, CD-ROM, IEEE, 2714-2719, 2003. pdf (459 kb)
W.H. Hsiao and R.P. Millane. Effects of spectral amplitude and phase errors on image reconstruction. In “Image Reconstruction from Incomplete Data III,” P.J. Bones, M.A. Fiddy and R.P. Millane (Eds.), Proc. SPIE, Vol. 5562, 27-37, 2004.
B. Bodvarsson, S. Klim, S. Mortensen, M. Morkebjerg, J. Chen, J.R. Maclaren, C.H. Yoon, P.K. Luther, J.M. Squire, A. Bainbridge-Smith, P.J. Bones and R.P. Millane. Determination of myosin filament positions and orientations in electron micrographs of muscle cross-sections. In “Image Reconstruction from Incomplete Data III,” P.J. Bones, M.A. Fiddy and R.P. Millane (Eds.), Proc. SPIE, Vol. 5562, 97-108, 2004.
W.H Hsiao and R.P. Millane. Effects of occlusion, edges and scaling on the power spectra of natural images. J. Opt. Soc. Am. A, 22, 1789-1797 (2005). Featured as one of the most significant research papers in optics in 2005 in "Optics in 2005," Optics and Photonics News , 16(12) , 24, 2005. pdf (361 KB)
C.H. Yoon, P.J. Bones and R.P. Millane. Image analysis for electron microscopy of muscle fibres. In “Proc. Digital Image Computing: Techniques and Applications,” B.C. Lovell, A.J. Maeder, S. Ourselin and T. Caelli (Eds.), IEEE CS Press CDROM, 79/1-7, 2005.
W.H. Hsiao and R.P. Millane. Image spectral amplitude distributions . J. Opt. Soc. Am. A , 23 , 1823-1826 (2006).
D.H. Wojtas, B. Wu, P. Wenig, P.K. Ahnelt, P.J. Bones and R.P. Millane. Analysis of differential interference contrast microscopy images of the retina. In “Proc. Image and Vision Computing New Zealand 2006,” xxx (Ed.), Univ. Auckland, Auckland , NZ, xxx-xxx, 2006. pdf (555 KB)
R.P. Millane, C.H. Yoon , N.D. Blakeley and A. Goyal. Analysis and modelling of substitution disorder in the myosin lattice of vertebrate muscle. In “Image Reconstruction from Incomplete Data IV,” P.J. Bones, M.A. Fiddy and R.P. Millane (Eds.), Proc. SPIE, Vol. 6316, 63160D/1-7, 2006.
Disordered systems and diffraction
R.P. Millane and W.J. Stroud. Effects of disorder on fiber diffraction patterns. Int. J. Biol. Macromol., 13, 202-208 (1991).
R.P. Millane and W.J. Stroud. Diffraction by aggregates of helical molecules. Acta Crystallogr., A51, 360-365 (1995).
W.J. Stroud and R.P. Millane. Diffraction by disordered polycrystalline fibers. Acta Crystallogr., A51, 771-790 (1995). pdf (2 mb).
W.J. Stroud and R.P. Millane. Analysis of disorder in biopolymer fibers. Acta Crystallogr., A51, 790-800 (1995). pdf (3 mb).
W.J. Stroud and R.P. Millane. Cylindrically averaged diffraction by distorted lattices. Proc. Roy. Soc. London Ser. A, 452, 151-173 (1996).
W.J. Stroud and R.P. Millane. Diffraction by polycrystalline fibers with correlated disorder. Acta Crystallogr., A52, 812-829 (1996). pdf (2 mb).
R.P. Millane and W.J. Stroud. Diffraction by disordered fibers. Fiber Diffraction Review, 5, 16-20 (1996).
R.P. Millane and J.L. Eads. Diffraction by one-dimensional paracrystals and perturbed lattices. Acta Crystallogr., A56, 497-506 (2000). pdf (332 kb).
J.L. Eads and R.P. Millane. The crystallite size – disorder relationship based on the spiral paracrystal. Acta Crystallogr., A56, 549-553 (2000). pdf (238 kb).
R.P. Millane and A. Goyal. Analysis of the disordered myosin filament lattice in muscle. Fiber Diffraction Review, 9, 6-11 (2000).
J.L. Eads and R.P. Millane. Diffraction by the ideal paracrystal. Acta Crystallogr., A57, 507-517 (2001). Featured in IUCr Newsletter, 9(2), 7 (2001). pdf (899 kb).
R.P. Millane, A. Goyal and R.C. Penney. Ground states of the antiferromagnetic Ising model on finite triangular lattices of simple shape. Phys. Lett. A, 311, 347-352 (2003).
R.P. Millane and N.D. Blakeley, Boundary conditions and variable ground state entropy for the antiferromagnetic Ising model on a triangular lattice. Phys. Rev. E, 70, 057101/1-4 (2004). pdf (55 kb).
N.D. Blakeley and R.P. Millane. Exact enumeration of the ground states of a triangular Ising antiferromagnet. Comp. Phys. Comm ., 174 , 198-201 (2006). pdf (299 KB)
R.P. Millane and R.M. Clare. Triangular Ising antiferromagnet: Boundary conditions, ground state entropy, and vortices. Phys. Rev. E , 74, 051101/1-6 (2006). pdf (154 KB)
R.P. Millane. Recent advances in phase retrieval. In “Image Reconstruction from Incomplete Data IV,” P.J. Bones, M.A. Fiddy and R.P. Millane (Eds.), Proc. SPIE, Vol. 6316, 63160E/1-11, 2006. pdf (230 KB)
Fiber diffraction
R.P. Millane and S. Arnott. Background Removal in X-ray Fiber Diffraction Patterns. J. Appl. Crystallography, 18, 419-423 (1985).
R.P. Millane and S. Arnott. Digital Processing of X-ray Diffraction Patterns from Oriented Fibers. J. Macromolecular Science - Physics, B24, 193-227 (1985).
R.P. Millane. Relating Reflection Boundaries in X-ray Fiber Diffraction Patterns to Specimen Morphology and their use for Intensity Measurement. J. Macromol. Sci. - Physics, B28, 149-166 (1989).
R.P. Millane. R-factors in X-ray Fiber Diffraction. I. Largest Likely R-factors for N Overlapping Terms. Acta Crystallogr., A45, 258-260 (1989).
R.P. Millane. R-factors in X-ray Fiber Diffraction. II. Largest Likely R-factors. Acta Crystallogr., A45, 573-576 (1989).
R.P. Millane. Intensity Distributions in Fiber Diffraction. Acta Crystallogr., A46, 552-559 (1990).
R.P. Millane. R-factors in X-ray Fiber Diffraction. III. Asymptotic Approximations to Largest Likely R-factors. Acta Crystallogr., A46, 68-72 (1990).
R.P. Millane. An Alternative Approach to Helical Diffraction. Acta Crystallogr., A47, 449-451 (1991).
R.P. Millane. R factors in x-ray fiber diffraction. IV. Analytic Expressions for Largest Likely R Factors. Acta Crystallogr., A48, 209-215 (1992).
V.L. Finkenstadt and R.P. Millane. Fiber diffraction patterns for general unit cells: The cylindrically projected reciprocal lattice. Acta Crystallogr., A54, 240-248 (1998).
R.P. Millane. X-ray fiber diffraction analysis. International Tables for Crystallography, Vol. B, 2nd Edition, U. Shmueli (Ed.), International Union of Crystallography, 466-481, 2001.
R.P. Millane and J.L. Eads. Structure determination from screw-disordered fibres. Fibre Diffraction Review, 10, 57-62 (2002).
Remote sensing
R.P. Millane and P.T. Gough. Processing synthetic aperture sonar data from novel hydrophone arrays. In “Image Reconstruction from Incomplete Data,” M.A. Fiddy and R.P. Millane (Eds.), Proc. SPIE, Vol. 4123, 115-122, 2000.
P.J. Bones, T. Bretschneider, C.J. Forne, R.P. Millane and S.J. McNeill. Tomographic blur indentification using image edges. In “Image Reconstruction from Incomplete Data,” M.A. Fiddy and R.P. Millane (Eds.), Proc. SPIE, Vol. 4123, 133-141, 2000.
S. Kim, W.A. Kuperman, W.S., Hodgkiss, H.C. Song, G.F. Edelmann, T. Akal, R.P. Millane and D. DiIorio. A method for robust time-reversal focusing in a fluctuating ocean. In “Oceans 2001 Conference Proceedings,” The Marine Technology Society/IEEE, Holland Pubs., Vol. 2, 793-798, 2001.
R.P. Millane, W.H. Hsiao, J.M.F. Loeffen and S.J. McNeill. Analysis of satellite scatterometer images of New Zealand. In “Proc. Image and Vision Computing New Zealand 2002,” D.N. Kenwright (Ed.), IRL, Auckland, NZ, 185-189, 2002.
R.P. Millane, R.G. Brown, E. Enevoldson and J.E. Murray. Estimating mountain wave windspeeds from sailplane flight data. In “Image Reconstruction from Incomplete Data III,” P.J. Bones, M.A. Fiddy and R.P. Millane (Eds.), Proc. SPIE, Vol. 5562, 218-229, 2004. pdf (312 kb).
R.G. Brown, R.P. Millane, E. Enevoldson and J.E. Murray. Imaging mountain waves using sailplane flight data. In “Proc. Image and Vision Computing New Zealand 2004,” D. Pairman, H. North and S. McNeill (Eds.), Landcare Research, NZ, 285-290, 2004.
M. Qi, A. Haider, R.P. Millane and G.M. Smart. Analysis of river bed stones from digital elvation models. In “Proc. Image and Vision Computing New Zealand 2004,” D. Pairman, H. North and S. McNeill (Eds.), Landcare Research, NZ, 369-373, 2004.
P.J. Bones, R.P. Millane and T.R. Bretschneider. Blur identification using image features. In OSA Trends in Optics and Photonics: Signal Recovery and Synthesis Topic Meetings on CD-Rom, OSA, SMA5, 2005.
G.D. Stirling, R.P. Millane, E. Enevoldson and J.E. Murray. Visualising atmospheric mountain waves using sailplane flight data. In “Proc. Image and Vision Computing New Zealand 2005,” B. McCane (Ed.), Univ. Otago, Dunedin, NZ, 2-7, 2005. pdf (416 KB)
R.P. Millane, M.I. Weir and G.M. Smart. Automated analysis of imbrication and flow direction in alluvial sediments using laser-scan data. J. Sediment. Res ., 76 , 1049-1055 (2006). pdf (616 KB)
• R.P. Millane , M.E. Fitzsimons, M. Qi and A. Haider. Analysis of gravel river beds using three-dimensional laser scanning. In “Image Reconstruction from Incomplete Data IV,” P.J. Bones, M.A. Fiddy and R.P. Millane (Eds.), Proc. SPIE, Vol. 6316, 63160B/1-10, 2006. pdf (223 KB)
Medical imaging
J.C. Ye, R.P. Millane, K.J. Webb and T.J. Downar. Importance of the grad-D term in frequency-resolved optical diffusion imaging. Opt. Lett., 22, 1423-1425 (1998).
J.C. Ye, K.J. Webb, R.P. Millane and T.J. Downar. Modified distorted Born iterative method with an approximate Fréchet derivative for optical diffusion tomography. J. Opt. Soc. Am. A, 16, 1814-1826 (1999). pdf (640 kb).
J.C. Ye, K.J. Webb, C.A. Bouman and R.P. Millane. Optical diffusion tomography by iterative-coordinate-descent optimization in a Bayesian framework. J. Opt. Soc. Am. A, 16, 2400-2412 (1999). pdf (441 kb).
J.C. Ye, C.A. Bouman, K.J. Webb and R.P. Millane. Nonlinear multigrid algorithms for Bayesian optical diffusion tomography. IEEE Trans. Image Process., 10, 909-922 (2001).
A.B. Milstein, S. Oh, J.S. Reynolds, K.J. Webb, C.A. Bouman and R.P. Millane. Three-dimensional Bayesian optical diffusion tomography using experimental data. Opt. Lett., 27, 95-97 (2002).
S. Oh, A.B. Milstein, R.P. Millane, C.A. Bouman and K.J. Webb. Source-detector calibration in three-dimensional Bayesian optical diffusion tomography. J. Opt. Soc. Am. A, 19, 1983-1993 (2002). pdf (778 kb).
A.B. Milstein, S. Oh, K.J. Webb, C.A. Bouman, Q. Zhang, D.A. Boas and R.P. Millane. Fluorescence optical diffusion tomography. Appl. Opt., 42, 3081-3094 (2003).
A.B. Milstein, J.J. Stott, S. Oh, D.A. Boas, R.P. Millane, C.A. Bouman and K.J. Webb. Fluorescence optical diffusion tomography using multiple-frequency data. J. Opt. Soc. Am. A, 21, 1035-1049 (2004).
J.C. Ye, K.J. Webb, R.P. Millane and C.A. Bouman. In vivo optical molecular imaging: Principles and signal processing issues. In “Proc. IEEE Int. Conf. Acoustics, Speech Signal Process.,” IEEE Press, Vol. 5, 849-852, 2005. pdf (73 KB)
P.J. Bones, J.R. Maclaren, R.P. Millane and R. Watts. Correcting motion artifacts in magnetic resonance imaging. In “Proc. Image and Vision Computing New Zealand 2005,” B. McCane (Ed.), Univ. Otago, Dunedin, NZ, 120-125, 2005.
P.J. Bones, J.R. Maclaren, R.P. Millane and R. Watts. Quantifying and correcting motion artifacts in MRI. In “Image Reconstruction from Incomplete Data IV,” P.J. Bones, M.A. Fiddy and R.P. Millane (Eds.), Proc. SPIE, Vol. 6316, 631608/1-12, 2006.
Biopolymer structure
R.P. Millane, A.K. Mitra and S. Arnott. Chondroitin 4-Sulfate: Comparison of the Structures of the Potassium and Sodium Salts. J. Mol. Biol., 169, 903-920 (1983).
R.P. Millane, J.K. Walker, S. Arnott, R. Chandrasekaran, D.L. Birdsall and R.L. Ratliff. Structure of a Pleiomeric form of Poly d(AT).Poly d(AT). Nucleic Acids Res., 12, 5475-5493 (1984).
S. Arnott, R. Chandrasekaran, R.P. Millane and H.S. Park. DNA-RNA Hybrid Secondary Structures. J. Mol. Biol., 188, 631-640 (1986).
H.S. Park, S. Arnott, R. Chandrasekaran, R.P. Millane and F. Campagnari. Structure of the alpha-form of Poly [d(A)].poly [d(T)] and Related Polynucleotide Duplexes. J. Mol. Biol., 197, 513-523 (1987).
R.P. Millane, R. Chandrasekaran, S. Arnott and I.C.M. Dea. The Molecular Structure of Kappa-carrageenan and Comparison with Iota-carrageenan. Carbohydr. Res., 182, 1-17 (1988).
R. Chandrasekaran, R.P. Millane, S. Arnott and E.D.T. Atkins. The Crystal Structure of Gellan. Carbohydr. Res. 175, 1-15 (1988).
R. Chandrasekaran, M. Wang, R.G. He, L.C. Puigjaner, M.A. Byler, R.P. Millane and S. Arnott. A Re-examination of the Crystal Structure of A-DNA using Fiber Diffraction Data. J. Biomol. Struct. Dynamics, 6, 1189-1202 (1989).
R.P. Millane and T.V. Narasaiah. X-ray Fiber Diffraction Studies of a Variant of Xanthan Gum in which the Sidechain Terminal Mannose Unit is Absent. Carbohydr. Polym., 12, 315-321 (1990).
R.P. Millane and B. Wang. A Cellulose-like Conformation Accessible to the Xanthan Backbone and Implications for Xanthan Synergism. Carbohydrate Polymers, 13, 57-68 (1990).
R.P. Millane and T.L. Hendrixson. Crystal structures of mannans and glucomannans. Carbohydr. Polym., 25, 245-251 (1994).
V.L. Finkenstadt, T.L. Hendrixson and R.P. Millane. Models of xyloglucan binding to cellulose microfibrils. J. Carbohydr. Chem., 14, 601-611 (1995).
V.L. Finkenstadt and R.P. Millane. Crystal Structure of Valonia cellulose I-beta, Macromolecules, 31, 7776-7783 (1998). pdf (165 kb).
Mathematics and miscellaneous
R.P. Millane. A product form of the Möbius transform. Phys. Lett. A., 162, 213-214 (1992).
R.P. Millane. An Inverse Eigenvalue Problem for a Circular Membrane. In “Inverse Problems in Scattering the Imaging,” M.A. Fiddy (Ed.), Proc. SPIE, Vol. 1767, 43-50, 1992.
R.P. Millane. Möbius transform pairs. J. Math. Phys., 34, 875-877 (1993).
R.P. Millane. Free Oscillation Data Inversion for a Spherically Symmetric Earth. In “Ground Sensing,” H.N. Nasr (Ed.), Proc. SPIE, Vol. 1941, 261-268, 1993.
R.P. Millane. An infinite sum related to WKB eigenvalues. J. Math. Phys., 36, 3157-3160 (1995).
R.P. Millane. The Mobius inversion formula and inverting lattice sums. In “Image Reconstruction from Incomplete Data,” M.A. Fiddy and R.P. Millane (Eds.), Proc. SPIE, Vol. 4123, 261-268, 2000.
R.P. Millane and J.L. Eads. Polynomial approximations to Bessel functions. IEEE Trans. Antenn. Propag., 51, 1398-1400 (2003)
M. Hagedorn, P.J. Smith, P.J. Bones, R.P. Millane and D. Pairman. A trivariate chi-squared distribution derived from the complex Wishart distribution. J. Multivar. Anal., 97, 655-674 (2006). pdf (365 KB)