A three-dimensional Markov field approach for the analysis of atomic clustering in atom probe data

References

• Ringer , SP . 2006 . Mater. Sci. Forum , 519–521 : 25
   Google Scholar
• Ringer , SP , Sofyan , BT , Prasad , KS and Quan , GC . 2008 . Acta Mater. , 56 : 2147
   Web of Science ®Google Scholar
• Ringer , SP , Prasad , KS and Quan , GC . 2008 . Acta Mater. , 56 : 1933
   Web of Science ®Google Scholar
• Pereloma , EV , Shekhter , A , Miller , MK and Ringer , SP . 2004 . Acta Mater. , 52 : 5589
   Web of Science ®Google Scholar
• Ringer , SP , Sakurai , T and Polmear , IJ . 1997 . Acta Mater. , 45 : 3731
   Web of Science ®Google Scholar
• Hutchinson , CR and Ringer , SP . 2000 . Metallurg. Mater. Trans. , 31A : 2721
   Web of Science ®Google Scholar
• Raviprasad , K , Hutchinson , CR , Sakurai , T and Ringer , SP . 2003 . Acta Mater. , 51 : 5037
   Web of Science ®Google Scholar
• Blavette , D , Cadel , E , Pareige , C , Deconihout , B and Caron , P . 2007 . Microsc. Microanal. , 13 : 464
   PubMed Web of Science ®Google Scholar
• Sha , G and Cerezo , A . 2004 . Acta Mater. , 52 : 4503
   Web of Science ®Google Scholar
• Edwards , GA , Stiller , K , Dunlop , GL and Couper , MJ . 1998 . Acta Mater. , 46 : 3893
   Web of Science ®Google Scholar
• Murayama , M , Hono , K , Miao , W and Laughlin , DE . 2001 . Metallurg. Mater. Trans. A , 32A : 239
   Google Scholar
• Esmaeili , S and Lloyd , DJ . 2004 . Scripta Mater. , 50 : 155
   Web of Science ®Google Scholar
• Starink , MJ , Gao , N , Davin , L , Yan , J and Cerezo , A . 2005 . Phil. Mag. , 85 : 1395
   Google Scholar
• Hyde , JM and English , CA . 2000 . “ An analysis of the structure of irradiation induced Cu-enriched clusters in low and high nickel welds ” . In in MRS 2000 Fall Meeting, Symposium R: Microstructural Processes in Irradiated Materials , Vol. 650 , R6.6.1 – R6.6.12 . Boston , MA : Materials Research Society .
   Google Scholar
• Stephenson , LT , Moody , MP , Liddicoat , PV and Ringer , SP . 2007 . Microsc. Microanal. , 13 : 448
   PubMed Web of Science ®Google Scholar
• Kolli , RP and Seidman , DN . 2007 . Microsc. Microanal. , 13 : 272
   PubMed Web of Science ®Google Scholar
• Johnson , CA and Klotz , JH . 1974 . Technometrics , 16 : 483
   Web of Science ®Google Scholar
• Markov , AA . 2007 . Sci. Context , 19 : 591
   Web of Science ®Google Scholar
• Blavette , D . 1981 . “ Contribution à l'exploitation des résultats d'une sonde atomique. Application à l'analyse d'un alliage FeCrNiAl ” . In PhD thesis , l'Université de Rouen .
   Google Scholar
• Tsong , TT , McLane , SB Jr. , Ahmad , M and Wu , CS . 1982 . J. Appl. Phys. , 53 : 4180
   Web of Science ®Google Scholar
• Miller , MK , Cerezo , A , Hetherington , MG and Smith , GDW . 1996 . Atom Probe Field Ion Microscopy , New York : Oxford Science Publications .
   Google Scholar
• Danoix , F , Auger , P , Bostel , A and Blavette , D . 1991 . Surf. Sci. , 246 : 260
   Web of Science ®Google Scholar
• Hetherington , MG and Miller , MK . 1989 . J. de Physique , 50 : 535
   Google Scholar
• Kunicki , TC , Beermann , D , Geiser , BG , Oltman , E , O'Neill , RW and Larson , DJ . “ Atom probe data reconstruction, visualization and analysis with the Imago Visualization and Analysis System (IVAS ™) ” . In Vacuum Nanoelectronics Conference, 2006, and the 2006 50th International Field Emission Symposium IVNC/IFES 2006. Technical Digest. 19th International, pp.535–536
   Google Scholar
• Kindermann , R and Snell , JL . 1980 . Markov Random Fields and their Applications , Providence , RI : American Mathematical Society .
   Google Scholar
• Pohl , UW and Busse , W . 1989 . J. Chem. Phys. , 90 : 6877
   Google Scholar
• Blavette , D , Vurpillot , F , Pareige , A and Menand , A . 2001 . Ultramicrosc. , 89 : 145
   PubMed Web of Science ®Google Scholar
• Vurpillot , F , Bostel , A , Cadel , E and Blavette , D . 2000 . Ultramicrosc. , 84 : 213
   PubMed Web of Science ®Google Scholar
• Miller , MK and Hetherington , MG . 1991 . Surf. Sci. , 246 : 442
   Web of Science ®Google Scholar
• Gault , B , de Geuser , F , Stephenson , LT , Moody , MP , Muddle , BC and Ringer , SP . 2008 . Microsc. Microanal , 14 : 296
   Web of Science ®Google Scholar
• Geiser , BP , Kelly , TF , Larson , DJ , Schneir , J and Roberts , JP . 2007 . Microsc. Microanal. , 13 : 437
   PubMed Web of Science ®Google Scholar
• Haley , D , Petersen , T , Barton , G and Ringer , S . 2009 . Phil. Mag. , 89 : 925
   Google Scholar
• Cowley , JM . 1950 . Phys. Rev. , 77 : 669
   Web of Science ®Google Scholar
• Gold , E and Machlin , ES . 1968 . Phil. Mag. , 18 : 453
   Google Scholar
• Machlin , ES . 1976 . Scripta Metallurgica , 10 : 521
   Google Scholar
• Moody , MP , Stephenson , LT , Liddicoat , PV and Ringer , SP . 2007 . Microsc. Res. Techn. , 70 : 258
   PubMed Web of Science ®Google Scholar
• Hyde , JM , Miller , MK , Hetherington , MG , Cerezo , A , Smith , GDW and Elliott , CM . 1995 . Acta Metallurgica , 43 : 3415
   Google Scholar
• Vurpillot , F , Renaud , L and Blavette , D . 2003 . Ultramicrosc. , 95 : 223 – 229 .
   PubMed Web of Science ®Google Scholar
• Bernoulli , J . Part IV, Chapter V, in The Art of Conjecturing, Together with ‘Letter to a friend on sets in court tennis’, The John Hopkins University Press, Baltimore, 2006 (Ars Conjectandi 1713. In Latin; translated with an introduction and notes by Edith Dudley Sylla), pp.330–339
   Google Scholar
• Miller , MK . 2000 . Atom Probe Tomography: Analysis at the Atomic Level , New York : Kluwer Academic/Plenum Publishers .
   Google Scholar
• Devore , JL . 1995 . Probability and Statistics for Engineering and the Sciences , California , , USA : Brooks/Cole Publishing Company, Pacific Grove .
   Google Scholar
• Abramowitz , M and Stegun (eds.) , IA . 1972 . Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , New York : Dover .
   Google Scholar
• Everitt , BS . 1977 . The Analysis of Contingency Tables , London : Chapman and Hall .
   Google Scholar