These tools will no longer be maintained as of December 31, 2024. Archived website can be found here. PubMed4Hh GitHub repository can be found here. Contact NLM Customer Service if you have questions.


BIOMARKERS

Molecular Biopsy of Human Tumors

- a resource for Precision Medicine *

105 related articles for article (PubMed ID: 25321667)

  • 1. Determination of caustic surfaces using point spread function and ray Jacobian and Hessian matrices.
    Lin PD
    Appl Opt; 2014 Sep; 53(26):5889-95. PubMed ID: 25321667
    [TBL] [Abstract][Full Text] [Related]  

  • 2. Second-order derivatives of a ray with respect to the variables of its source ray in optical systems containing spherical boundary surfaces.
    Lin PD
    J Opt Soc Am A Opt Image Sci Vis; 2011 Oct; 28(10):1995-2005. PubMed ID: 21979504
    [TBL] [Abstract][Full Text] [Related]  

  • 3. Jacobian and Hessian matrices of optical path length for computing the wavefront shape, irradiance, and caustics in optical systems.
    Lin PD; Liu CS
    J Opt Soc Am A Opt Image Sci Vis; 2012 Nov; 29(11):2272-80. PubMed ID: 23201787
    [TBL] [Abstract][Full Text] [Related]  

  • 4. Determination of second-order derivatives of a skew ray with respect to the variables of its source ray in optical prism systems.
    Lin PD; Wu W
    J Opt Soc Am A Opt Image Sci Vis; 2011 Aug; 28(8):1600-9. PubMed ID: 21811322
    [TBL] [Abstract][Full Text] [Related]  

  • 5. Derivative matrices of a skew ray for spherical boundary surfaces and their applications in system analysis and design.
    Lin PD
    Appl Opt; 2014 May; 53(14):3085-100. PubMed ID: 24922031
    [TBL] [Abstract][Full Text] [Related]  

  • 6. Second-order derivatives of optical path length of ray with respect to variable vector of source ray.
    Chen YB; Lin PD
    Appl Opt; 2012 Aug; 51(22):5552-62. PubMed ID: 22859047
    [TBL] [Abstract][Full Text] [Related]  

  • 7. Derivatives of optical path length: from mathematical formulation to applications.
    Lin PD
    J Opt Soc Am A Opt Image Sci Vis; 2015 May; 32(5):710-7. PubMed ID: 26366893
    [TBL] [Abstract][Full Text] [Related]  

  • 8. Formula for the density of tangent rays over a caustic surface.
    Burkhard DG; Shealy DL
    Appl Opt; 1982 Sep; 21(18):3299-306. PubMed ID: 20396226
    [TBL] [Abstract][Full Text] [Related]  

  • 9. Determination of first-order derivative matrix of wavefront aberration with respect to system variables.
    Lin PD
    Appl Opt; 2012 Feb; 51(4):486-93. PubMed ID: 22307119
    [TBL] [Abstract][Full Text] [Related]  

  • 10. Analysis and design of prisms using the derivatives of a ray. Part II: the derivatives of boundary variable vector with respect to system variable vector.
    Lin PD
    Appl Opt; 2013 Jun; 52(18):4151-62. PubMed ID: 23842155
    [TBL] [Abstract][Full Text] [Related]  

  • 11. Numerical approach for computing the Jacobian matrix between boundary variable vector and system variable vector for optical systems containing prisms.
    Wu W; Lin PD
    J Opt Soc Am A Opt Image Sci Vis; 2011 May; 28(5):747-58. PubMed ID: 21532684
    [TBL] [Abstract][Full Text] [Related]  

  • 12. Universal approach for local higher-order wavefront tracing equations for complex optical systems.
    Becken W; Trumm S; Kerner P; Muschielok A; Altheimer H; Esser G; Uttenweiler D
    J Opt Soc Am A Opt Image Sci Vis; 2021 Aug; 38(8):1201-1213. PubMed ID: 34613316
    [TBL] [Abstract][Full Text] [Related]  

  • 13. Simplified formula for the illuminance in an optical system.
    Burkhard DG; Shealy DL
    Appl Opt; 1981 Mar; 20(5):897-909. PubMed ID: 20309226
    [TBL] [Abstract][Full Text] [Related]  

  • 14. A finite difference Davidson procedure to sidestep full ab initio hessian calculation: application to characterization of stationary points and transition state searches.
    Sharada SM; Bell AT; Head-Gordon M
    J Chem Phys; 2014 Apr; 140(16):164115. PubMed ID: 24784261
    [TBL] [Abstract][Full Text] [Related]  

  • 15. Analysis and design of prisms using the derivatives of a ray. Part I: derivatives of a ray with respect to boundary variable vector.
    Lin PD
    Appl Opt; 2013 Jun; 52(18):4137-50. PubMed ID: 23842154
    [TBL] [Abstract][Full Text] [Related]  

  • 16. Analytical Jacobian and its application to tilted-wave interferometry.
    Fortmeier I; Stavridis M; Wiegmann A; Schulz M; Osten W; Elster C
    Opt Express; 2014 Sep; 22(18):21313-25. PubMed ID: 25321510
    [TBL] [Abstract][Full Text] [Related]  

  • 17. Application of derivative matrices of skew rays to design of compound dispersion prisms.
    Lin PD
    J Opt Soc Am A Opt Image Sci Vis; 2016 Sep; 33(9):1843-50. PubMed ID: 27607509
    [TBL] [Abstract][Full Text] [Related]  

  • 18. Wavefronts and caustic of a spherical wave reflected by an arbitrary smooth surface.
    Román-Hernández E; Santiago-Santiago JG; Silva-Ortigoza G; Silva-Ortigoza R
    J Opt Soc Am A Opt Image Sci Vis; 2009 Nov; 26(11):2295-305. PubMed ID: 19884924
    [TBL] [Abstract][Full Text] [Related]  

  • 19. Localization-delocalization transition in Hessian matrices of topologically disordered systems.
    Huang BJ; Wu TM
    Phys Rev E Stat Nonlin Soft Matter Phys; 2009 Apr; 79(4 Pt 1):041105. PubMed ID: 19518171
    [TBL] [Abstract][Full Text] [Related]  

  • 20. Design of optical systems using derivatives of rays: derivatives of variable vector of spherical boundary surfaces with respect to system variable vector.
    Lin PD
    Appl Opt; 2013 Oct; 52(30):7271-87. PubMed ID: 24216581
    [TBL] [Abstract][Full Text] [Related]  

    [Next]    [New Search]
    of 6.