N. Yoshimizu, A. Lal, and C. R. Pollock, “Nanometrology Using a Quasiperiodic Pattern Diffraction Optical Ruler,” J. Microelectromech. Syst. 19(4), 865–870 (2010).

[CrossRef]

D. Robinson and P. Milanfar, “Fundamental performance limits in image registration,” IEEE Trans. Image Process. 13(9), 1185–1199 (2004).

[CrossRef]
[PubMed]

N. Ferralis, A. W. Szmodis, and R. D. Diehl, “Diffraction from one- and two-dimensional quasicrystalline gratings,” Am. J. Phys. 72(9), 1241–1246 (2004).

[CrossRef]

R. D. Diehl, J. Ledieu, N. Ferralis, A. W. Szmodis, and R. McGrath, “Low-energy electron diffraction from quasicrystal surfaces,” J. Phys. Condens. Matter 15(3), R63–R81 (2003).

[CrossRef]

M. Tanibayashi, “Diffraction of light by quasi-periodic gratings,” J. Phys. Soc. Jpn. 61(9), 3139–3145 (1992).

[CrossRef]

V. Elser, “The Diffraction of Projected Structures,” Acta Crystallogr. A 42(1), 36–43 (1986).

[CrossRef]

F. Gähler and J. Rhyner, “Equivalence of the Generalized Grid and Projection Methods for the Construction of Quasiperiodic Tilings,” J. Phys. Math. Gen. 19(2), 267–277 (1986).

[CrossRef]

D. Levine and P. J. Steinhardt, “Quasicrystals. I. Definition and structure,” Phys. Rev. B Condens. Matter 34(2), 596–616 (1986).

[CrossRef]
[PubMed]

J. E. S. Socolar and P. J. Steinhardt, “Quasicrystals. II. Unit-cell configurations,” Phys. Rev. B Condens. Matter 34(2), 617–647 (1986).

[CrossRef]
[PubMed]

R. K. P. Zia and W. J. Dallas, “A Simple Derivation of Quasi-Crystalline Spectra,” J. Phys. Math. Gen. 18(7), L341–L345 (1985).

[CrossRef]

N. G. de Bruijn, “Algebraic theory of Penrose’s non-periodic tilings of the plane I & II,” Ned. Akad. Wetensch. Proc. Ser. A 43, 39–66 (1981).

R. K. P. Zia and W. J. Dallas, “A Simple Derivation of Quasi-Crystalline Spectra,” J. Phys. Math. Gen. 18(7), L341–L345 (1985).

[CrossRef]

N. G. de Bruijn, “Algebraic theory of Penrose’s non-periodic tilings of the plane I & II,” Ned. Akad. Wetensch. Proc. Ser. A 43, 39–66 (1981).

N. Ferralis, A. W. Szmodis, and R. D. Diehl, “Diffraction from one- and two-dimensional quasicrystalline gratings,” Am. J. Phys. 72(9), 1241–1246 (2004).

[CrossRef]

R. D. Diehl, J. Ledieu, N. Ferralis, A. W. Szmodis, and R. McGrath, “Low-energy electron diffraction from quasicrystal surfaces,” J. Phys. Condens. Matter 15(3), R63–R81 (2003).

[CrossRef]

V. Elser, “The Diffraction of Projected Structures,” Acta Crystallogr. A 42(1), 36–43 (1986).

[CrossRef]

N. Ferralis, A. W. Szmodis, and R. D. Diehl, “Diffraction from one- and two-dimensional quasicrystalline gratings,” Am. J. Phys. 72(9), 1241–1246 (2004).

[CrossRef]

R. D. Diehl, J. Ledieu, N. Ferralis, A. W. Szmodis, and R. McGrath, “Low-energy electron diffraction from quasicrystal surfaces,” J. Phys. Condens. Matter 15(3), R63–R81 (2003).

[CrossRef]

F. Gähler and J. Rhyner, “Equivalence of the Generalized Grid and Projection Methods for the Construction of Quasiperiodic Tilings,” J. Phys. Math. Gen. 19(2), 267–277 (1986).

[CrossRef]

N. Yoshimizu, A. Lal, and C. R. Pollock, “Nanometrology Using a Quasiperiodic Pattern Diffraction Optical Ruler,” J. Microelectromech. Syst. 19(4), 865–870 (2010).

[CrossRef]

R. D. Diehl, J. Ledieu, N. Ferralis, A. W. Szmodis, and R. McGrath, “Low-energy electron diffraction from quasicrystal surfaces,” J. Phys. Condens. Matter 15(3), R63–R81 (2003).

[CrossRef]

D. Levine and P. J. Steinhardt, “Quasicrystals. I. Definition and structure,” Phys. Rev. B Condens. Matter 34(2), 596–616 (1986).

[CrossRef]
[PubMed]

R. D. Diehl, J. Ledieu, N. Ferralis, A. W. Szmodis, and R. McGrath, “Low-energy electron diffraction from quasicrystal surfaces,” J. Phys. Condens. Matter 15(3), R63–R81 (2003).

[CrossRef]

D. Robinson and P. Milanfar, “Fundamental performance limits in image registration,” IEEE Trans. Image Process. 13(9), 1185–1199 (2004).

[CrossRef]
[PubMed]

N. Yoshimizu, A. Lal, and C. R. Pollock, “Nanometrology Using a Quasiperiodic Pattern Diffraction Optical Ruler,” J. Microelectromech. Syst. 19(4), 865–870 (2010).

[CrossRef]

F. Gähler and J. Rhyner, “Equivalence of the Generalized Grid and Projection Methods for the Construction of Quasiperiodic Tilings,” J. Phys. Math. Gen. 19(2), 267–277 (1986).

[CrossRef]

D. Robinson and P. Milanfar, “Fundamental performance limits in image registration,” IEEE Trans. Image Process. 13(9), 1185–1199 (2004).

[CrossRef]
[PubMed]

J. E. S. Socolar and P. J. Steinhardt, “Quasicrystals. II. Unit-cell configurations,” Phys. Rev. B Condens. Matter 34(2), 617–647 (1986).

[CrossRef]
[PubMed]

J. E. S. Socolar and P. J. Steinhardt, “Quasicrystals. II. Unit-cell configurations,” Phys. Rev. B Condens. Matter 34(2), 617–647 (1986).

[CrossRef]
[PubMed]

D. Levine and P. J. Steinhardt, “Quasicrystals. I. Definition and structure,” Phys. Rev. B Condens. Matter 34(2), 596–616 (1986).

[CrossRef]
[PubMed]

N. Ferralis, A. W. Szmodis, and R. D. Diehl, “Diffraction from one- and two-dimensional quasicrystalline gratings,” Am. J. Phys. 72(9), 1241–1246 (2004).

[CrossRef]

R. D. Diehl, J. Ledieu, N. Ferralis, A. W. Szmodis, and R. McGrath, “Low-energy electron diffraction from quasicrystal surfaces,” J. Phys. Condens. Matter 15(3), R63–R81 (2003).

[CrossRef]

M. Tanibayashi, “Diffraction of light by quasi-periodic gratings,” J. Phys. Soc. Jpn. 61(9), 3139–3145 (1992).

[CrossRef]

N. Yoshimizu, A. Lal, and C. R. Pollock, “Nanometrology Using a Quasiperiodic Pattern Diffraction Optical Ruler,” J. Microelectromech. Syst. 19(4), 865–870 (2010).

[CrossRef]

R. K. P. Zia and W. J. Dallas, “A Simple Derivation of Quasi-Crystalline Spectra,” J. Phys. Math. Gen. 18(7), L341–L345 (1985).

[CrossRef]

V. Elser, “The Diffraction of Projected Structures,” Acta Crystallogr. A 42(1), 36–43 (1986).

[CrossRef]

N. Ferralis, A. W. Szmodis, and R. D. Diehl, “Diffraction from one- and two-dimensional quasicrystalline gratings,” Am. J. Phys. 72(9), 1241–1246 (2004).

[CrossRef]

D. Robinson and P. Milanfar, “Fundamental performance limits in image registration,” IEEE Trans. Image Process. 13(9), 1185–1199 (2004).

[CrossRef]
[PubMed]

N. Yoshimizu, A. Lal, and C. R. Pollock, “Nanometrology Using a Quasiperiodic Pattern Diffraction Optical Ruler,” J. Microelectromech. Syst. 19(4), 865–870 (2010).

[CrossRef]

R. D. Diehl, J. Ledieu, N. Ferralis, A. W. Szmodis, and R. McGrath, “Low-energy electron diffraction from quasicrystal surfaces,” J. Phys. Condens. Matter 15(3), R63–R81 (2003).

[CrossRef]

R. K. P. Zia and W. J. Dallas, “A Simple Derivation of Quasi-Crystalline Spectra,” J. Phys. Math. Gen. 18(7), L341–L345 (1985).

[CrossRef]

F. Gähler and J. Rhyner, “Equivalence of the Generalized Grid and Projection Methods for the Construction of Quasiperiodic Tilings,” J. Phys. Math. Gen. 19(2), 267–277 (1986).

[CrossRef]

M. Tanibayashi, “Diffraction of light by quasi-periodic gratings,” J. Phys. Soc. Jpn. 61(9), 3139–3145 (1992).

[CrossRef]

N. G. de Bruijn, “Algebraic theory of Penrose’s non-periodic tilings of the plane I & II,” Ned. Akad. Wetensch. Proc. Ser. A 43, 39–66 (1981).

D. Levine and P. J. Steinhardt, “Quasicrystals. I. Definition and structure,” Phys. Rev. B Condens. Matter 34(2), 596–616 (1986).

[CrossRef]
[PubMed]

J. E. S. Socolar and P. J. Steinhardt, “Quasicrystals. II. Unit-cell configurations,” Phys. Rev. B Condens. Matter 34(2), 617–647 (1986).

[CrossRef]
[PubMed]

C. Janot, Quasicrystals: A Primer (Cambridge University Press, Oxford, 1997).

M. Senechal, Quasicrystals and Geometry (Cambridge University Press, Oxford, 1995).

J. W. Goodman, Introduction to Fourier Optics (Roberts & Company Publishers, Greenwood Village, CO, 2005).

N. Yoshimizu, A. Lal, and C. R. Pollock, “MEMS Diffractive Optical Nanoruler Technology for Tip-Based Nanofabrication and Metrology,” in Proceedings of the IEEE MEMS (Institute of Electrical and Electronics Engineers, New York, 2009), pp. 547–550.