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Speckle imaging

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237: 31: 322:) can obtain information about the high-resolution structure of the object from the statistical properties of the speckle patterns. This technique was first implemented in 1971 at Palomar Observatory (200-inch telescope) by Daniel Y. Gezari, Antoine Labeyrie and Robert V. Stachnick. Methods developed in the 1980s allowed simple images to be reconstructed from this power spectrum information. 127:, whose random nature disrupts the single spot of the Airy disk into a pattern of similarly-sized spots scattered over a much larger area (see the adjacent image of a binary). For typical seeing, the practical resolution limits are at mirror sizes much less than the mechanical limits for the size of mirrors, namely at a mirror diameter equal to the 360:
One limitation of the technique is that it requires extensive computer processing of the image, which was hard to come by when the technique was first developed. This limitation has faded away over the years as computing power has increased, and nowadays desktop computers have more than enough power
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Speckle imaging in biology refers to the underlabeling of periodic cellular components (such as filaments and fibers) so that instead of appearing as a continuous and uniform structure, it appears as a discrete set of speckles. This is due to statistical distribution of the labeled component within
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The downside of the technique is that taking images at this short an exposure is difficult, and if the object is too dim, not enough light will be captured to make analysis possible. Early uses of the technique in the early 1970s were made on a limited scale using photographic techniques, but since
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The method involves calculation of the differential shifts of the images. This is easily accomplished in astronomical images since they can be aligned with the stars. Once the images are aligned they are averaged together. It is a basic principle of statistics that variation in a sample can be
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reduced by averaging together the individual values. In fact, when using an average, the signal-to-noise ratio should be increased by a factor of the square root of the number of images. A number of software packages exist for performing this, including
120:. A group of objects whose images are closer together than this limit appear as a single object. Thus larger telescopes can image not only dimmer objects (because they collect more light), but resolve objects that are closer together as well. 205:
into astronomy, which captures more than 70% of the light, lowered the bar on practical applications by an order of magnitude, and today the technique is widely used on bright astronomical objects (e.g. stars and star systems).
259:" method) is a form of speckle imaging commonly used for obtaining high quality images from a number of short exposures with varying image shifts. It has been used in astronomy for several decades, and is the basis for the 552:
Wong, M.H., A.A. Simon, J.W. Tollefson, I. de Pater, M.N. Barnett, A.I. Hsu, A.W. Stephens, G.S. Orton, S.W. Fleming, C. Goullaud, W. Januszewski, A. Roman, G.L. Bjoraker, S.K. Atreya, A. Adriani, and L.N. Fletcher (2020)
138:– about 20 cm in diameter for observations with visible light under good conditions. For many years, telescope performance was limited by this effect, until the introduction of speckle interferometry and 216:(whose smooth wavefront is an excellent simulation of the light from a distant star) on a surface, the resulting speckle pattern can be processed to give detailed images of flaws in the material. 472: 243:
images of Jupiter at 5 μm, using stacks of individual Gemini Observatory frames each with a relatively long 309-msec exposure time, illustrate the principle that coherence time τ
172:, the movement of the atmosphere is too sluggish to have an effect; the speckles recorded in the image are a snapshot of the atmospheric seeing at that instant. Coherence time 209:
Many of the simpler speckle imaging methods have multiple names, largely from amateur astronomers re-inventing existing speckle imaging techniques and giving them new names.
673:"Speckle Interferometry : Diffraction-Limited Measurements of Nine Stars with the 200-inch Telescope", Daniel Y. Gezari, Antoine Labeyrie and Robert V. Stachnik, 1972, 38:) as seen through atmospheric turbulence. Each star should appear as a single point, but the atmosphere causes the images of the two stars to break up into two patterns of 50:
Slow-motion speckle imaging movie, showing how a high-magnification (negative) image of a star breaks up into multiple blobs (speckles), entirely an atmospheric effect.
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Baldwin, John; MacKay, C. D.; Titterington, D. J.; Sivia, D.; Baldwin, J. E.; Warner, P. J. (August 1987). "The First Images from Optical Aperture Synthesis".
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from each of the short exposures. The "average bispectrum" can then be calculated and then inverted to obtain an image. This works particularly well using
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The principle of all the techniques is to take very short exposure images of astronomical targets, and then process those so as to remove the effects of
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All of these were obtained using infrared AO or IR interferometry (not speckle imaging) and have higher resolution than can be obtained with e.g. the
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photographic film captures only about 7% of the incoming light, only the brightest of objects could be viewed in this way. The introduction of the
647:, Antoine (May 1970). "Attainment of Diffraction Limited Resolution in Large Telescopes by Fourier Analysing Speckle Patterns in Star Images". 47: 531:
Jacquot, P.: Speckle interferometry: a review of the principal methods in use for experimental mechanics applications. Strain 44, 57–69 (2008)
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Baba, N; Isobe, Syuzo; Norimoto, Youji; Noguchi, Motokazu (May 1985). "Stellar speckle image reconstruction by the shift-and-add method".
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feature on some cameras. The short exposure images are aligned by using the brightest speckle and averaged to give a single output image.
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approach, only the best short exposures are selected for averaging. Early shift-and-add techniques aligned images according to the image
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that would otherwise appear as a single star to a visual observer working with a similar-sized telescope, and the first images of
588: 575: 109:-like phenomena on other stars. Many of the techniques remain in wide use today, notably when imaging relatively bright targets. 644: 383: 350: 342: 311: 722:
Baldwin, John; Haniff, C. A.; MacKay, C. D.; Warner, P. J. (April 1986). "Closure phase in high-resolution optical imaging".
345:. In this arrangement the telescope aperture is blocked except for a few holes which allow light through, creating a small 354: 280: 393: 540: 418: 403: 843: 374:
enables real-time monitoring of dynamical systems and video image analysis to understand biological processes.
230: 495:(1966). "Optical Resolution Through a Randomly Inhomogeneous Medium for Very Long and Very Short Exposures". 42:. The speckles move around rapidly, so that each star appears as a single fuzzy blob in long exposure images. 236: 445: 428: 346: 113: 62: 202: 153:
in 1966, was to take very fast images in which case the atmosphere is effectively "frozen" in place. At
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The resolution of a telescope is limited by the size of the main mirror, due to the effects of
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Weigelt, Gerd (April 1977). "Modified astronomical speckle interferometry 'speckle masking'".
626: 786: 769: 741: 724: 704: 660: 618: 591:, Publications of the Astronomical Society of the Pacific, vol. 103, Sept.1991, p. 1040-1048 514: 433: 315: 276: 146: 58: 30: 398: 371: 331: 139: 116:. This results in images of distant objects being spread out to a small spot known as the 782: 737: 700: 614: 510: 492: 413: 165: 158: 150: 46: 35: 462: 123:
This improvement of resolution breaks down due to the practical limits imposed by the
837: 708: 423: 337: 287: 240: 70: 467: 798: 753: 457: 452: 448:. Speckle imaging can produce images with four times better resolution than these. 295: 821: 101:. Use of these techniques led to a number of discoveries, including thousands of 102: 229:
This section is about an imaging method. For the multiplication algorithm, see
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with better resolving power than the telescope would otherwise have. This
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they drop to as little as 10 ms. When exposure times are shorter than τ
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techniques. The key to the technique, found by the American astronomer
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Image quality, tip-tilt correction, and shift-and-add infrared imaging
578:, Applied Optics (ISSN 0003-6935), vol. 24, May 15, 1985, p. 1403-1405 790: 745: 307: 235: 213: 45: 29: 827: 818:- open source image software with shift-and-add "image-stacking" 815: 576:
Stellar speckle image reconstruction by the shift-and-add method
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High-resolution UV/Optical/IR Imaging of Jupiter in 2016–2019
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Gemini Gets Lucky and Takes a Deep Dive Into Jupiter’s Clouds
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techniques based on the analysis of large numbers of short
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Another use of the technique is in industry. By shining a
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methods. These techniques can dramatically increase the
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One more recent type of speckle interferometry called
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Speckle imaging recreates the original image through
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unlabeled components. The technique, also known as
824:- freeware astronomical images processing software 574:Baba, N.; Isobe, S.; Norimoto, Y.; Noguchi, M. 34:Typical short-exposure image of a binary star ( 142:provided a means of removing this limitation. 231:multiplication algorithm § Shift and add 8: 498:Journal of the Optical Society of America 409:Electronic speckle pattern interferometry 361:to make such processing a trivial task. 164:are on the order of 100 ms, but for the 559:Astrophysical Journal Supplement Series 484: 275:, Autostakkert, Keiths Image Stacker, 190:is a function of wavelength, because 89:, but are limited to bright targets. 57:comprises a range of high-resolution 7: 543:, NOIRLab press release, 2020-05-08. 25: 384:Aperture masking interferometry 353:technique was pioneered by the 69:. They can be divided into the 1: 197:is a function of wavelength. 65:that freeze the variation of 709:10.1016/0030-4018(77)90077-3 355:Cavendish Astrophysics Group 329:involves calculation of the 27:Astronomical imaging methods 394:Astronomical interferometer 860: 649:Astronomy and Astrophysics 419:Holographic interferometry 404:Diffraction-limited system 247:increases with wavelength. 228: 675:The Astrophysical Journal 294:, giving a lower overall 661:1970A&A.....6...85L 255:method (more recently " 519:10.1364/JOSA.56.001372 446:Hubble Space Telescope 429:Optical interferometry 347:optical interferometer 320:speckle interferometry 302:Speckle interferometry 248: 114:Fraunhofer diffraction 79:speckle interferometry 67:atmospheric turbulence 51: 43: 689:Optics Communications 239: 49: 33: 623:10.1364/AO.24.001403 225:Shift-and-add method 59:astronomical imaging 783:1987Natur.328..694B 738:1986Natur.320..595B 701:1977OptCo..21...55W 615:1985ApOpt..24.1403B 511:1966JOSA...56.1372F 399:Bispectral analysis 261:image stabilisation 129:astronomical seeing 99:astronomical seeing 389:Aperture synthesis 249: 77:") method and the 52: 44: 587:Christou, J. C., 159:coherence times τ 16:(Redirected from 851: 803: 802: 791:10.1038/328694a0 764: 758: 757: 746:10.1038/320595a0 719: 713: 712: 684: 678: 671: 665: 664: 641: 635: 634: 598: 592: 585: 579: 572: 566: 550: 544: 538: 532: 529: 523: 522: 489: 434:Super-resolution 351:aperture masking 327:speckle masking' 316:Fourier analysis 312:Antoine Labeyrie 147:image processing 85:of ground-based 21: 859: 858: 854: 853: 852: 850: 849: 848: 844:Speckle imaging 834: 833: 812: 807: 806: 766: 765: 761: 721: 720: 716: 686: 685: 681: 672: 668: 643: 642: 638: 600: 599: 595: 586: 582: 573: 569: 551: 547: 539: 535: 530: 526: 493:Fried, David L. 491: 490: 486: 481: 442: 380: 372:dynamic speckle 367: 304: 246: 234: 227: 222: 196: 184: 177: 171: 162: 140:adaptive optics 137: 95: 55:Speckle imaging 28: 23: 22: 18:Speckle masking 15: 12: 11: 5: 857: 855: 847: 846: 836: 835: 832: 831: 825: 819: 811: 810:External links 808: 805: 804: 759: 714: 679: 677:, vol. 173, L1 666: 636: 609:(10): 1403–5. 603:Applied Optics 593: 580: 567: 565:: 58 (25 pp.). 545: 533: 524: 483: 482: 480: 477: 476: 475: 470: 465: 460: 455: 441: 440:Example images 438: 437: 436: 431: 426: 421: 416: 414:Focus stacking 411: 406: 401: 396: 391: 386: 379: 376: 366: 363: 343:aperture masks 338:closure phases 303: 300: 257:image-stacking 244: 226: 223: 221: 218: 194: 182: 175: 169: 166:visible region 160: 151:David L. Fried 135: 94: 91: 75:image stacking 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 856: 845: 842: 841: 839: 829: 826: 823: 820: 817: 814: 813: 809: 800: 796: 792: 788: 784: 780: 777:(6132): 694. 776: 772: 771: 763: 760: 755: 751: 747: 743: 739: 735: 732:(6063): 595. 731: 727: 726: 718: 715: 710: 706: 702: 698: 694: 690: 683: 680: 676: 670: 667: 662: 658: 654: 650: 646: 640: 637: 632: 628: 624: 620: 616: 612: 608: 604: 597: 594: 590: 584: 581: 577: 571: 568: 564: 560: 556: 549: 546: 542: 537: 534: 528: 525: 520: 516: 512: 508: 504: 500: 499: 494: 488: 485: 478: 474: 471: 469: 466: 464: 461: 459: 456: 454: 451: 450: 449: 447: 439: 435: 432: 430: 427: 425: 424:Lucky imaging 422: 420: 417: 415: 412: 410: 407: 405: 402: 400: 397: 395: 392: 390: 387: 385: 382: 381: 377: 375: 373: 364: 362: 358: 356: 352: 348: 344: 340: 339: 334: 333: 328: 323: 321: 317: 313: 309: 306:In 1970, the 301: 299: 297: 293: 289: 288:lucky imaging 284: 282: 278: 274: 270: 264: 262: 258: 254: 253:shift-and-add 242: 241:Lucky imaging 238: 232: 224: 219: 217: 215: 210: 207: 204: 198: 193: 189: 188: 181: 167: 163: 157:wavelengths, 156: 152: 148: 143: 141: 134: 130: 126: 121: 119: 115: 110: 108: 104: 100: 92: 90: 88: 84: 80: 76: 72: 71:shift-and-add 68: 64: 60: 56: 48: 41: 37: 32: 19: 828:Autostakkert 774: 768: 762: 729: 723: 717: 695:(1): 55–59. 692: 688: 682: 674: 669: 652: 648: 639: 606: 602: 596: 583: 570: 562: 558: 548: 536: 527: 505:(10): 1372. 502: 496: 487: 443: 368: 359: 336: 330: 326: 324: 319: 314:showed that 305: 296:Strehl ratio 285: 265: 256: 252: 250: 211: 208: 199: 191: 186: 179: 144: 132: 122: 111: 103:binary stars 96: 78: 74: 54: 53: 39: 310:astronomer 93:Explanation 479:References 473:Betelgeuse 332:bispectrum 131:parameter 125:atmosphere 87:telescopes 83:resolution 118:Airy disk 63:exposures 838:Category 645:Labeyrie 631:20440355 468:MWC 349A 463:LKHa 101 378:See also 292:centroid 273:RegiStax 155:infrared 40:speckles 36:ζ Boötis 799:4281897 779:Bibcode 754:4338037 734:Bibcode 697:Bibcode 657:Bibcode 655:: 85L. 611:Bibcode 507:Bibcode 365:Biology 286:In the 107:sunspot 797:  770:Nature 752:  725:Nature 629:  458:WR 98a 453:WR 104 308:French 279:, and 816:Hugin 795:S2CID 750:S2CID 277:Hugin 220:Types 214:laser 822:Iris 627:PMID 281:Iris 269:IRAF 251:The 787:doi 775:328 742:doi 730:320 705:doi 619:doi 563:247 515:doi 335:or 203:CCD 840:: 793:. 785:. 773:. 748:. 740:. 728:. 703:. 693:21 691:. 651:. 625:. 617:. 607:24 605:. 561:. 557:. 513:. 503:56 501:. 357:. 298:. 283:. 271:, 178:= 73:(" 801:. 789:: 781:: 756:. 744:: 736:: 711:. 707:: 699:: 663:. 659:: 653:6 633:. 621:: 613:: 521:. 517:: 509:: 318:( 245:0 233:. 195:0 192:r 187:v 185:/ 183:0 180:r 176:0 174:τ 170:0 161:0 136:0 133:r 20:)

Index

Speckle masking

ζ Boötis

astronomical imaging
exposures
atmospheric turbulence
shift-and-add
resolution
telescopes
astronomical seeing
binary stars
sunspot
Fraunhofer diffraction
Airy disk
atmosphere
astronomical seeing
adaptive optics
image processing
David L. Fried
infrared
coherence times τ0
visible region
τ0 = r0/v
CCD
laser
multiplication algorithm § Shift and add

Lucky imaging
image stabilisation

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