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Neutron penumbral imaging is an important diagnosis technique in laser-driven inertial confinement fusion experiment. In order to refine the resolution of 5 μm, it is necessary to develop nonlinear methods in reconstructing the detected imaging. In this paper, the authors improve the molecular dynamics method by using the Leap-frog format to increase convergence, and adding the edge-preserving regularization to suppress the edge-diffusion. Furthermore, the conjugate gradient method is also studied, and the relationship and differences between these two methods are revealed. Comparing the reconstruction results of the two methods, the advantages and disadvantages are analyzed for detecting images with noise.
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Keywords:
- neutron penumbral imaging /
- nonlinear reconstruction /
- molecular dynamics method /
- conjugate gradient method
[1] Ress D, Lerche R A, Ellis R J, Nugent K A 1998 Science 241 956
[2] Disdier L, Rouyer A, Wilsonb D C, Fedotoffa A, Stoecklc C, Bourgade J L, Glebovc V Y, Garonneta J P, Sekac W 2002 Nucl. Instrum. Methods Phys. Res. A 489 496
[3] Disdier L, Rouyer A, Fedotoff A, Bourgade J L, Marshall F J, Glebov V Y, Stoeckl C 2003 Rev. Sci. Instrum. 74 1832
[4] Murphy T J, Barnes C W, Berggren R R, Bradley P, Caldwell S E, Chrien R E, Faulkner J R, Gobby P L, Hoffman N, Jimerson J L, Klare K A, LeeC L, Mack J M, Morgan G L, Oertel J A, Swenson F J, Walsh P J, Walton R B, Watt R G, Wilke M D, Wilson D C, Young C S, Haan S W, Lerche R A, Moran M J, Phillips T W, Sangster T C, Leeper R J, Ruiz C L, Cooper G W, Disdier L, Rouyer A, Fedotoff A, Glebov V Y, Meyerhofer D D, Soures J M, Stckl C, Frenje J A, Hicks D G, Li C K, Petrasso R D, Seguin F H, Fletcher K, Padalino S, Fisher R K 2001 Rev. Sci. Instrum. 72 773
[5] Glebov V Y, Meyerhofer D D, Sangster T C, Stoeckl C, Roberts S, Barrera C A, Celeste J R, Cerjan C J, Dauffy L S, Eder D C, Griffith R L, Haan S W, Hammel B A, Hatchett S P, Izumi N, Kimbrough J R, Koch J A, Landen O L, Lerche R A, MacGowan B J, Moran M J, Ng E W, Phillips T W, Song P M, Tommasini R, Young B K, Caldwell S E, Grim G P, Evans S C, Mack J M, Sedillo T J, Wilke M D, Wilson D C, Young C S, Casey D, Frenje J A, Li C K, Petrasso R D, Séguin F H, Bourgade J L, Disdier L, Houry M, Lantuejoul I, Landoas O, Chandler G A, Cooper G W, Leeper R J, Olson R E, Ruiz C L, Sweeney M A, Padalino S P, Horsfield C, Davis B A 2006 Rev. Sci. Instrum. 77 10E715
[6] Morgan G L, Berggren R R, Bradley P A, Cverna F H, Faulkner J R, Gobby P L, Oertel J A, Swenson F J, Tegtmeier J A, Walton R B, Wilke M D, Wilson D C, Disdier L 2001 Rev. Sci. Instrum. 72 865
[7] Disdier L, Rouyer A, Lantuéjoul I, Landoas O, Bourgade J L, Sangster T C, Glebov V Y, Lerche R A 2006 Phys. Plasmas 13 056317
[8] Barrera C A, Morse E C, Moran M J 2006 Rev. Sci. Instrum. 77 10E716
[9] Ghilea M C, Sangster T C, Meyerhofer D D, Lerche R A, Disdier L 2008 Rev. Sci. Instrum. 79 023501
[10] Rouyer A 2003 Rev. Sci. Instrum. 74 1234
[11] Chen Y W, Nakao Z, Arakakik K 1997 Opt. Rev. 4 209
[12] Nozaki S, Chen Y W 2004 Rev. Sci. Instrum. 75 3980
[13] Liu D J, Zou L, Tang C H, Zhao Z Q, Hou Q, An Z 2007 Nucl. Instrum. Methods Phys. Res. A 578 537
[14] Yu B, Ying Y J, Xu H B 2010 Acta. Phys. Sin. 59 4100 (in Chinese) [余 波、 应阳君、 许海波 2010 物理学报 59 4100]
[15] Chen F X, Zhen J, Yang J L 2006 Acta. Phys. Sin. 55 5947 (in Chinese) [陈法新、 郑 坚、 杨建伦 2006 物理学报 55 5947]
[16] Disdier L, Lerche R A, Bourgade J L, Glebov V Y 2004 Rev. Sci. Instrum. 75 2134
[17] Hou Q, Wang Y G 2001 Phys. Rev. Lett. 87 168101
[18] Wen Y H, Zhu R Z, Zhou F X, Wang C Y 2003 Adv. Mech. 33 65(in Chinese) [文玉华、 朱如曾、 周富信、 王崇愚 2003 力学进展 33 65]
[19] Zhou M Y 2001 Deconvolution and Signal Recovery (Beijing:National Defense Industry Press) P188 [邹谋炎 2001 反卷积和信号复原 (北京:国防工业出版社) 第188页]
[20] Charbonnier P, Blance-Feraud L, Aubert G, Barlaud M 1997 IEEE Trans. Image Proc. 6 298
[21] Xu S F 1995 Theory and methods of matrix calculation(Beijing: Peking University Press) P149 [徐树方 1995 矩阵计算的理论与方法 (北京: 北京大学出版社) 第149页]
[22] Zhao Z Q, Ding Y K, Hao Y D, Yuan Y T, Pu Y K 2008 Acta. Phys. Sin. 57 5756 (in Chinese) [赵宗清、 丁永坤、 郝轶聃、 袁永腾、 蒲以康 2008 物理学报 57 5756]
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[1] Ress D, Lerche R A, Ellis R J, Nugent K A 1998 Science 241 956
[2] Disdier L, Rouyer A, Wilsonb D C, Fedotoffa A, Stoecklc C, Bourgade J L, Glebovc V Y, Garonneta J P, Sekac W 2002 Nucl. Instrum. Methods Phys. Res. A 489 496
[3] Disdier L, Rouyer A, Fedotoff A, Bourgade J L, Marshall F J, Glebov V Y, Stoeckl C 2003 Rev. Sci. Instrum. 74 1832
[4] Murphy T J, Barnes C W, Berggren R R, Bradley P, Caldwell S E, Chrien R E, Faulkner J R, Gobby P L, Hoffman N, Jimerson J L, Klare K A, LeeC L, Mack J M, Morgan G L, Oertel J A, Swenson F J, Walsh P J, Walton R B, Watt R G, Wilke M D, Wilson D C, Young C S, Haan S W, Lerche R A, Moran M J, Phillips T W, Sangster T C, Leeper R J, Ruiz C L, Cooper G W, Disdier L, Rouyer A, Fedotoff A, Glebov V Y, Meyerhofer D D, Soures J M, Stckl C, Frenje J A, Hicks D G, Li C K, Petrasso R D, Seguin F H, Fletcher K, Padalino S, Fisher R K 2001 Rev. Sci. Instrum. 72 773
[5] Glebov V Y, Meyerhofer D D, Sangster T C, Stoeckl C, Roberts S, Barrera C A, Celeste J R, Cerjan C J, Dauffy L S, Eder D C, Griffith R L, Haan S W, Hammel B A, Hatchett S P, Izumi N, Kimbrough J R, Koch J A, Landen O L, Lerche R A, MacGowan B J, Moran M J, Ng E W, Phillips T W, Song P M, Tommasini R, Young B K, Caldwell S E, Grim G P, Evans S C, Mack J M, Sedillo T J, Wilke M D, Wilson D C, Young C S, Casey D, Frenje J A, Li C K, Petrasso R D, Séguin F H, Bourgade J L, Disdier L, Houry M, Lantuejoul I, Landoas O, Chandler G A, Cooper G W, Leeper R J, Olson R E, Ruiz C L, Sweeney M A, Padalino S P, Horsfield C, Davis B A 2006 Rev. Sci. Instrum. 77 10E715
[6] Morgan G L, Berggren R R, Bradley P A, Cverna F H, Faulkner J R, Gobby P L, Oertel J A, Swenson F J, Tegtmeier J A, Walton R B, Wilke M D, Wilson D C, Disdier L 2001 Rev. Sci. Instrum. 72 865
[7] Disdier L, Rouyer A, Lantuéjoul I, Landoas O, Bourgade J L, Sangster T C, Glebov V Y, Lerche R A 2006 Phys. Plasmas 13 056317
[8] Barrera C A, Morse E C, Moran M J 2006 Rev. Sci. Instrum. 77 10E716
[9] Ghilea M C, Sangster T C, Meyerhofer D D, Lerche R A, Disdier L 2008 Rev. Sci. Instrum. 79 023501
[10] Rouyer A 2003 Rev. Sci. Instrum. 74 1234
[11] Chen Y W, Nakao Z, Arakakik K 1997 Opt. Rev. 4 209
[12] Nozaki S, Chen Y W 2004 Rev. Sci. Instrum. 75 3980
[13] Liu D J, Zou L, Tang C H, Zhao Z Q, Hou Q, An Z 2007 Nucl. Instrum. Methods Phys. Res. A 578 537
[14] Yu B, Ying Y J, Xu H B 2010 Acta. Phys. Sin. 59 4100 (in Chinese) [余 波、 应阳君、 许海波 2010 物理学报 59 4100]
[15] Chen F X, Zhen J, Yang J L 2006 Acta. Phys. Sin. 55 5947 (in Chinese) [陈法新、 郑 坚、 杨建伦 2006 物理学报 55 5947]
[16] Disdier L, Lerche R A, Bourgade J L, Glebov V Y 2004 Rev. Sci. Instrum. 75 2134
[17] Hou Q, Wang Y G 2001 Phys. Rev. Lett. 87 168101
[18] Wen Y H, Zhu R Z, Zhou F X, Wang C Y 2003 Adv. Mech. 33 65(in Chinese) [文玉华、 朱如曾、 周富信、 王崇愚 2003 力学进展 33 65]
[19] Zhou M Y 2001 Deconvolution and Signal Recovery (Beijing:National Defense Industry Press) P188 [邹谋炎 2001 反卷积和信号复原 (北京:国防工业出版社) 第188页]
[20] Charbonnier P, Blance-Feraud L, Aubert G, Barlaud M 1997 IEEE Trans. Image Proc. 6 298
[21] Xu S F 1995 Theory and methods of matrix calculation(Beijing: Peking University Press) P149 [徐树方 1995 矩阵计算的理论与方法 (北京: 北京大学出版社) 第149页]
[22] Zhao Z Q, Ding Y K, Hao Y D, Yuan Y T, Pu Y K 2008 Acta. Phys. Sin. 57 5756 (in Chinese) [赵宗清、 丁永坤、 郝轶聃、 袁永腾、 蒲以康 2008 物理学报 57 5756]
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