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1

Hu, Jian-wei, Li-gang Liu, and Guo-zhao Wang. "Easy cross parameterization for articulated shapes." Journal of Zhejiang University-SCIENCE A 10, no. 10 (October 2009): 1428–38. http://dx.doi.org/10.1631/jzus.a0820615.

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2

Kwok, Tsz-Ho, and Charlie C. L. Wang. "Domain construction for volumetric cross-parameterization." Computers & Graphics 38 (February 2014): 86–96. http://dx.doi.org/10.1016/j.cag.2013.10.026.

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3

Bennett, Janine, Valerio Pascucci, and Kenneth Joy. "A genus oblivious approach to cross parameterization." Computer Aided Geometric Design 25, no. 8 (November 2008): 592–606. http://dx.doi.org/10.1016/j.cagd.2008.06.003.

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4

Tripathi, R. K., Francis A. Cucinotta, and John W. Wilson. "Accurate universal parameterization of absorption cross sections." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 117, no. 4 (October 1996): 347–49. http://dx.doi.org/10.1016/0168-583x(96)00331-x.

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5

Fan, Zhengwen, Xiaogang Jin, Jieqing Feng, and Hanqiu Sun. "Mesh morphing using polycube-based cross-parameterization." Computer Animation and Virtual Worlds 16, no. 3-4 (2005): 499–508. http://dx.doi.org/10.1002/cav.92.

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6

Marai, G. Elisabeta, Cindy M. Grimm, and David H. Laidlaw. "Arthrodial Joint Markerless Cross-Parameterization and Biomechanical Visualization." IEEE Transactions on Visualization and Computer Graphics 13, no. 5 (September 2007): 1095–104. http://dx.doi.org/10.1109/tvcg.2007.1063.

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7

Wu, Huai-Yu, Chunhong Pan, Hongbin Zha, Qing Yang, and Songde Ma. "Partwise Cross-Parameterization via Nonregular Convex Hull Domains." IEEE Transactions on Visualization and Computer Graphics 17, no. 10 (October 2011): 1531–44. http://dx.doi.org/10.1109/tvcg.2010.231.

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8

Kraevoy, Vladislav, and Alla Sheffer. "Cross-parameterization and compatible remeshing of 3D models." ACM Transactions on Graphics 23, no. 3 (August 2004): 861–69. http://dx.doi.org/10.1145/1015706.1015811.

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9

Egerton, R. F. "Oscillator-strength parameterization of inner-shell cross sections." Ultramicroscopy 50, no. 1 (May 1993): 13–28. http://dx.doi.org/10.1016/0304-3991(93)90087-e.

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Tripathi, R. K., John W. Wilson, and Francis A. Cucinotta. "Accurate universal parameterization of absorption cross sections II — neutron absorption cross sections." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 129, no. 1 (June 1997): 11–15. http://dx.doi.org/10.1016/s0168-583x(97)00121-3.

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11

Kwok, Tsz-Ho, Yunbo Zhang, and Charlie C. L. Wang. "Efficient Optimization of Common Base Domains for Cross Parameterization." IEEE Transactions on Visualization and Computer Graphics 18, no. 10 (October 2012): 1678–92. http://dx.doi.org/10.1109/tvcg.2011.115.

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12

Bansal, Meenakshi, and Raj Mittal. "Parameterization and generation of photon-induced K cross-sections." Radiation Physics and Chemistry 79, no. 5 (May 2010): 583–93. http://dx.doi.org/10.1016/j.radphyschem.2009.12.015.

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13

Egerton, R. F. "A simple parameterization scheme for inner-shell cross sections." Proceedings, annual meeting, Electron Microscopy Society of America 46 (1988): 532–33. http://dx.doi.org/10.1017/s0424820100104728.

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Quantitative elemental analysis by electron energy-loss spectroscopy requires values of core-loss cross section σ(β,Δ) integrated up to a scattering angle β and over an energy range Δ above the ionization threshold. Such cross sections can be calculated using atomic models [1-3], neglecting solid-state effects. They can also be determined experimentally [4,5], but only for particular values of β,Δ and incident energy E0. By representing σ(β,Δ) in terms of an integrated dipole oscillator strength f(Δ) which is independent of β and E0, we realize two advantages: (1) measurements on solids can be directly compared with one another and with theory, and (2) values of σ(β,Δ) for K, L and M edges can be derived from tabulated values of f(Δ) by use of a hand calculator or a very short computer program.
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14

Yan, Yichao, Bingbing Ni, Wendong Zhang, Jun Tang, and Xiaokang Yang. "Cross-modality motion parameterization for fine-grained video prediction." Computer Vision and Image Understanding 183 (June 2019): 11–19. http://dx.doi.org/10.1016/j.cviu.2019.03.006.

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15

Townsend, L. W., and J. W. Wilson. "Energy-Dependent Parameterization of Heavy-Ion Absorption Cross Sections." Radiation Research 106, no. 3 (June 1986): 283. http://dx.doi.org/10.2307/3576735.

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16

Sun, Guangyong, Tong Pang, Jianguang Fang, Guangyao Li, and Qing Li. "Parameterization of criss-cross configurations for multiobjective crashworthiness optimization." International Journal of Mechanical Sciences 124-125 (May 2017): 145–57. http://dx.doi.org/10.1016/j.ijmecsci.2017.02.027.

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17

Xu, Shibo, and Alexey Stovas. "A new parameterization for acoustic orthorhombic media." GEOPHYSICS 82, no. 6 (November 1, 2017): C229—C240. http://dx.doi.org/10.1190/geo2017-0215.1.

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We have defined a group of new parameterizations for P-wave in acoustic orthorhombic (ORT) media with three cross-term normal moveout velocities and three cross-term anellipticity parameters. The corresponding perturbation-based approximations for traveltime in ORT model are developed using the new parameterizations. The perturbation coefficients are computed by solving the eikonal equation in corresponding parameterization. Eight types of parameterization are defined based on the different elliptical background model and selection of anellipticity parameters. As the traveltime can be converted from the group velocity inverse, the sensitivity of the group velocity inverse to anellipticity parameters is analyzed for different parameterizations and different range of offsets. To stabilize the perturbation series and improve the accuracy, the Shanks transform is applied. From the comparison of traveltime after the Shanks transform using different parameterizations, we have concluded that the parameterization with vertical, two horizontal velocities, and three cross-term anellipticity parameters results in the best accuracy of traveltime function for P-wave in acoustic ORT medium.
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18

Berthoumieux, E., B. Berthier, C. Moreau, J. P. Gallien, and A. C. Raoux. "Parameterization of nuclear reactions cross section using R-matrix theory." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 136-138 (March 1998): 55–59. http://dx.doi.org/10.1016/s0168-583x(97)00659-9.

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19

Tripathi, R. K., F. A. Cucinotta, and J. W. Wilson. "Accurate universal parameterization of absorption cross sections III – light systems." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 155, no. 4 (September 1999): 349–56. http://dx.doi.org/10.1016/s0168-583x(99)00479-6.

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20

Bubak, A., B. Kamys, M. Kistryn, and B. Piskor-Ignatowicz. "Parameterization of the total cross-section for (p,7Be) reaction." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 226, no. 4 (December 2004): 507–16. http://dx.doi.org/10.1016/j.nimb.2004.08.004.

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21

Bokov, Pavel M. "Automated few-group cross-section parameterization based on quasi-regression." Annals of Nuclear Energy 36, no. 8 (August 2009): 1215–23. http://dx.doi.org/10.1016/j.anucene.2009.04.012.

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22

SHIGYO, Nobuhiro, Shouichirou SAKAGUCHI, Kenji ISHIBASHI, and Yoshihisa WAKUTA. "Parameterization of Fragmentation Cross Section for Proton-Induced Spallation Reaction." Journal of Nuclear Science and Technology 32, no. 1 (January 1995): 1–7. http://dx.doi.org/10.1080/18811248.1995.9731663.

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23

Weber, Mark, Victor Gorshelev, and Anna Serdyuchenko. "Uncertainty budgets of major ozone absorption cross sections used in UV remote sensing applications." Atmospheric Measurement Techniques 9, no. 9 (September 8, 2016): 4459–70. http://dx.doi.org/10.5194/amt-9-4459-2016.

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Abstract. Detailed uncertainty budgets of three major ultraviolet (UV) ozone absorption cross-section datasets that are used in remote sensing application are provided and discussed. The datasets are Bass–Paur (BP), Brion–Daumont–Malicet (BDM), and the more recent Serdyuchenko–Gorshelev (SG). For most remote sensing application the temperature dependence of the Huggins ozone band is described by a quadratic polynomial in temperature (Bass–Paur parameterization) by applying a regression to the cross-section data measured at selected atmospherically relevant temperatures. For traceability of atmospheric ozone measurements, uncertainties from the laboratory measurements as well as from the temperature parameterization of the ozone cross-section data are needed as input for detailed uncertainty calculation of atmospheric ozone measurements. In this paper the uncertainty budgets of the three major ozone cross-section datasets are summarized from the original literature. The quadratic temperature dependence of the cross-section datasets is investigated. Combined uncertainty budgets is provided for all datasets based upon Monte Carlo simulation that includes uncertainties from the laboratory measurements as well as uncertainties from the temperature parameterization. Between 300 and 330 nm both BDM and SG have an overall uncertainty of 1.5 %, while BP has a somewhat larger uncertainty of 2.1 %. At temperatures below about 215 K, uncertainties in the BDM data increase more strongly than the others due to the lack of very low temperature laboratory measurements (lowest temperature of BDM available is 218 K).
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24

Curtis, Andrew, and Roel Snieder. "Reconditioning inverse problems using the genetic algorithm and revised parameterization." GEOPHYSICS 62, no. 5 (September 1997): 1524–32. http://dx.doi.org/10.1190/1.1444255.

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The better conditioned an inverse problem is, the more independent pieces of information may be transferred from the data to the model solution, and the less independent prior information must be added to resolve trade offs. We present a practical measure of conditioning that may be calculated swiftly even for large inverse problems. By minimizing this measure, a genetic algorithm can be used to find a model parameterization that gives the best conditioned inverse problem. We illustrate the method by finding an optimal, irregular cell parameterization for a cross‐borehole tomographic example with a given source‐receiver geometry. Using the final parameterization, the inverse problem is almost a factor of three better conditioned than that using an average random parameterization. In addition, this method requires little additional programming when solving a linearized inverse problem. Hence, the improvement in conditioning and corresponding increase in independent information available for the model solution essentially come for free.
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25

Alvi, M. A., and M. A. Abdulmomen. "Parameterization of α-nucleus total reaction cross section at intermediate energies." Physica Scripta 78, no. 6 (November 20, 2008): 065007. http://dx.doi.org/10.1088/0031-8949/78/06/065007.

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26

Chulick, G. S., Y. E. Kim, R. A. Rice, and M. Rabinowitz. "Extended parameterization of nuclear-reaction cross sections for few-nucleon nuclei." Nuclear Physics A 551, no. 2 (January 1993): 255–68. http://dx.doi.org/10.1016/0375-9474(93)90481-c.

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27

Morioka, Kotaro, Yutaka Ohtake, Hiromasa Suzuki, Yukie Nagai, Hiroyuki Hishida, Koichi Inagaki, Takeshi Nakamura, and Fumiaki Watanabe. "Flattening simulations of 3D thick sheets made of fiber composite materials." Journal of Computational Design and Engineering 2, no. 2 (January 6, 2015): 88–95. http://dx.doi.org/10.1016/j.jcde.2014.12.003.

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Abstract Recently, fiber composite materials have been attracting attention from industry because of their remarkable material characteristics, including light weight and high stiffness. However, the costs of products composed of fiber materials remain high because of the lack of effective manufacturing and designing technologies. To improve the relevant design technology, this paper proposes a novel simulation method for deforming fiber materials. Specifically, given a 3D model with constant thickness and known fiber orientation, the proposed method simulates the deformation of a model made of thick fiber-material. The method separates a 3D sheet model into two surfaces and then flattens these surfaces into two dimensional planes by a parameterization method with involves cross vector fields. The cross vector fields are generated by propagating the given fiber orientations specified at several important points on the 3D model. Integration of the cross vector fields gives parameterization with low-stretch and low-distortion.
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28

Kristensen, Sten Esbjørn, Rolf Deigaard, Martin Anders Taaning, Jørgen Fredsøe, Nils Drønen, and Jacob Hjelmager Jensen. "LONG TERM MORPHOLOGICAL MODELLING." Coastal Engineering Proceedings 1, no. 32 (January 31, 2011): 64. http://dx.doi.org/10.9753/icce.v32.sediment.64.

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A morphological modelling concept for long term nearshore morphology is proposed and examples of its application are presented and discussed. The model concept combines parameterised representations of the cross-shore morphology, with a 2DH area model for waves, currents and sediment transport in the surf zone. Two parameterization schemes are tested for two different morphological phenomena: 1) Shoreline changes due to the presence of coastal structures and 2) alongshore migration of a nearshore nourishment and a bar by-passing a harbour. In the case of the shoreline evolution calculations, a concept often used in one-line modelling of cross-shore shifting of an otherwise constant shape cross-shore profile is applied for the case of a groyne and a detached breakwater. In the case of alongshore bar/nourishment migration an alternative parameterization is adopted. All examples are presented, analysed and discussed with respect to the question of realistic representation, time scale and general applicability of the model concept.
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29

Siegenthaler-Le Drian, C., P. Spichtinger, and U. Lohmann. "Explicit cloud-top entrainment parameterization in the global climate model ECHAM5-HAM." Atmospheric Chemistry and Physics Discussions 11, no. 1 (January 20, 2011): 1971–2023. http://dx.doi.org/10.5194/acpd-11-1971-2011.

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Abstract. New developments in the turbulence parameterization in the general circulation model ECHAM5-HAM are presented. They consist mainly of an explicit entrainment closure at the top of stratocumulus-capped boundary layers and the addition of an explicit contribution of the radiative divergence in the buoyancy production term. The impact of the new implementations on a single column model study and on the global scale is presented here. The parameterization has a "smoothing" effect: the abnormally high values of turbulence kinetic energy are reduced, both in the single column and in the Californian stratocumulus region. A sensitivity study with prescribed droplet concentration shows a reduction in the sensitivity of liquid water path to increasing cloud aerosol optical depth. We also study the effect of the new implementation on a Pacific cross-section. The entrainment parameterization leads to an enhanced triggering of the convective activity.
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30

Feng, Zhiyuan, Conglong Jia, Shanfang Huang, Nan An, and Kan Wang. "Polynomial interpolation cross-section parameterization method with the RMC Monte Carlo code." Annals of Nuclear Energy 174 (September 2022): 109161. http://dx.doi.org/10.1016/j.anucene.2022.109161.

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31

Aumeier, Steven E., John C. Lee, Derek M. Cribley, and William R. Martin. "Cross-Section Parameterization Using Irradiation Time and Exposure for Global Depletion Analysis." Nuclear Technology 108, no. 3 (December 1994): 299–319. http://dx.doi.org/10.13182/nt94-a35014.

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32

Coleman, Robert S., and Jason L. McCary. "Molecular mechanics parameterization of thionucleoside disulfides for modeling cross-linked duplex DNA." Bioorganic & Medicinal Chemistry Letters 8, no. 21 (November 1998): 3039–42. http://dx.doi.org/10.1016/s0960-894x(98)00561-7.

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33

Zhang, X. H. "Modified EPAX2 parameterization for estimating the fragment cross sections at intermediate energies." Nuclear Physics A 915 (October 2013): 59–69. http://dx.doi.org/10.1016/j.nuclphysa.2013.06.013.

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34

Peng, Chao, and Sabin Timalsena. "Fast mapping and morphing for genus-zero meshes with cross spherical parameterization." Computers & Graphics 59 (October 2016): 107–18. http://dx.doi.org/10.1016/j.cag.2016.06.001.

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35

Liao, Tao, Guoliang Xu, and Yongjie Jessica Zhang. "Structure-aligned guidance estimation in surface parameterization using eigenfunction-based cross field." Graphical Models 76, no. 6 (November 2014): 691–705. http://dx.doi.org/10.1016/j.gmod.2014.08.001.

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36

Wandji Nyamsi, W., A. Arola, P. Blanc, A. V. Lindfors, V. Cesnulyte, M. R. A. Pitkänen, and L. Wald. "Technical Note: A novel parameterization of the transmissivity due to ozone absorption in the <i>k</i>-distribution method and correlated-<i>k</i> approximation of Kato et al. (1999) over the UV band." Atmospheric Chemistry and Physics 15, no. 13 (July 9, 2015): 7449–56. http://dx.doi.org/10.5194/acp-15-7449-2015.

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Abstract. The k-distribution method and the correlated-k approximation of Kato et al. (1999) is a computationally efficient approach originally designed for calculations of the broadband solar radiation at ground level by dividing the solar spectrum in 32 specific spectral bands from 240 to 4606 nm. Compared to a spectrally resolved computation, its performance in the UV band appears to be inaccurate, especially in the spectral intervals #3 [283, 307] nm and #4 [307, 328] nm because of inaccuracy in modeling the transmissivity due to ozone absorption. Numerical simulations presented in this paper indicate that a single effective ozone cross section is insufficient to accurately represent the transmissivity over each spectral interval. A novel parameterization of the transmissivity using more quadrature points yields maximum errors of respectively 0.0006 and 0.0143 for intervals #3 and #4. How to practically implement this new parameterization in a radiative transfer model is discussed for the case of libRadtran (library for radiative transfer). The new parameterization considerably improves the accuracy of the retrieval of irradiances in UV bands.
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37

Young-Ouk Lee, Jonghwa Chang, Taeyoung Choi, and Myung-Hyun Kim. "Parameterization and optical model analyses of proton-nucleus cross sections for space shielding." IEEE Transactions on Nuclear Science 47, no. 6 (2000): 2435–41. http://dx.doi.org/10.1109/23.903789.

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38

Aagaard, Troels, Kerry P. Black, and Brian Greenwood. "Cross-shore suspended sediment transport in the surf zone: a field-based parameterization." Marine Geology 185, no. 3-4 (June 2002): 283–302. http://dx.doi.org/10.1016/s0025-3227(02)00193-7.

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39

Gautam, S. K., and R. V. R. Pandya. "Cross-flow microfiltration of blood through an extracorporeal device: A study in parameterization." Transfusion Science 18, no. 2 (June 1997): 181–86. http://dx.doi.org/10.1016/s0955-3886(97)00007-6.

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40

Zhang, Yi, Ye Ji, and Chun-Gang Zhu. "Multi-patch parameterization method for isogeometric analysis using singular structure of cross-field." Computers & Mathematics with Applications 162 (May 2024): 61–78. http://dx.doi.org/10.1016/j.camwa.2024.03.001.

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41

UEHARA, SADAHARU. "GAMMA GAMMA PHYSICS AT BELLE." International Journal of Modern Physics: Conference Series 35 (January 2014): 1460396. http://dx.doi.org/10.1142/s2010194514603962.

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We report a high-statistics measurement of the differential cross section of the process [Formula: see text] with the Belle detector. We study spectroscopy of light-quark resonances and charmonia and test QCD models using the data. We summarize our systematic measurements of different processes of γγ → meson-pair production based on the parameterization of the cross sections and comparison with QCD models. We also report on the measurement of the two-photon π0 transition form factor at Belle.
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42

Lazzaretto, A., A. Toffolo, and A. D. Martegani. "A Systematic Experimental Approach to Cross-Flow Fan Design." Journal of Fluids Engineering 125, no. 4 (July 1, 2003): 684–93. http://dx.doi.org/10.1115/1.1593710.

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A systematic investigation of cross-flow fan performances is presented according to an original criterion for the parameterization of fan geometry. Test facility and procedures are set up following ISO standards. The aim is to find which are the parameters most affecting fan performances and the effects of their design choice. Indications are found to design fans according to the desired objectives, such as maximum total pressure, total efficiency, and flow rate.
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43

Rochetin, Nicolas, Jean-Yves Grandpeix, Catherine Rio, and Fleur Couvreux. "Deep Convection Triggering by Boundary Layer Thermals. Part II: Stochastic Triggering Parameterization for the LMDZ GCM." Journal of the Atmospheric Sciences 71, no. 2 (January 31, 2014): 515–38. http://dx.doi.org/10.1175/jas-d-12-0337.1.

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Abstract This paper presents a stochastic triggering parameterization for deep convection and its implementation in the latest standard version of the Laboratoire de Météorologie Dynamique–Zoom (LMDZ) general circulation model: LMDZ5B. The derivation of the formulation of this parameterization and the justification, based on large-eddy simulation results, for the main hypothesis was proposed in Part I of this study. Whereas the standard triggering formulation in LMDZ5B relies on the maximum vertical velocity within a mean bulk thermal, the new formulation presented here (i) considers a thermal size distribution instead of a bulk thermal, (ii) provides a statistical lifting energy at cloud base, (iii) proposes a three-step trigger (appearance of clouds, inhibition crossing, and exceeding of a cross-section threshold), and (iv) includes a stochastic component. Here the complete implementation is presented, with its coupling to the thermal model used to treat shallow convection in LMDZ5B. The parameterization is tested over various cases in a single-column model framework. A sensitivity study to each parameter introduced is also carried out. The impact of the new triggering is then evaluated in the single-column version of LMDZ on several case studies and in full 3D simulations. It is found that the new triggering (i) delays deep convection triggering, (ii) suppresses it over oceanic trade wind cumulus zones, (iii) increases the low-level cloudiness, and (iv) increases the convective variability. The scale-aware nature of this parameterization is also discussed.
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44

Norbury, John W., Liudmila Latysheva, and Nikolai Sobolevsky. "Light ion double-differential cross section parameterization and results from the SHIELD transport code." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 947 (December 2019): 162576. http://dx.doi.org/10.1016/j.nima.2019.162576.

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45

Lei, Na, Ping Zhang, Xiaopeng Zheng, Yiming Zhu, and Zhongxuan Luo. "Feature Preserving Parameterization for Quadrilateral Mesh Generation Based on Ricci Flow and Cross Field." Computer Modeling in Engineering & Sciences 137, no. 1 (2023): 843–57. http://dx.doi.org/10.32604/cmes.2023.027296.

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46

Jiao, Yanjun, and Colin Jones. "Comparison Studies of Cloud- and Convection-Related Processes Simulated by the Canadian Regional Climate Model over the Pacific Ocean." Monthly Weather Review 136, no. 11 (November 1, 2008): 4168–87. http://dx.doi.org/10.1175/mwr2494.1.

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Abstract This paper presents results from the Canadian Regional Climate Model (CRCM) contribution to the Global Energy and Water Cycle Experiment (GEWEX) Pacific Cross-section Intercomparison Project. This experiment constitutes a simulation of stratocumulus, trade cumulus, and deep convective transitions along a cross section in the tropical Pacific. The simulated seasonal mean cloud and convection are compared between an original version of CRCM (CRCM4) and a modified version (CRCMM) with refined parameterizations. Results are further compared against available observations and reanalysis data. The specific parameterization refinements touch upon the triggering and closure of shallow convection, the cloud and updraft characteristics of deep convection, the parameterization of large-scale cloud fraction, the calculation of the eddy diffusivity in the boundary layer, and the evaporation of falling large-scale precipitation. CRCMM shows substantial improvement in many aspects of the simulated seasonal mean cloud, convection, and precipitation over the tropical Pacific, CRCMM-simulated total column water vapor, total cloud cover, and precipitation are in better agreement with observations than in the original CRCM4 model. The maximum frequency of the shallow convection shifts from the ITCZ region in CRCM4 to the subtropics in CRCMM; accordingly, excessive cloud in the shallow cumulus region in CRCM4 is greatly diminished. Finally, CRCMM better simulates the vertical structure of relative humidity, cloud cover, and vertical velocity, at least when compared to the 40-yr ECMWF Re-Analysis. Analyses of sensitivity experiments assessing specific effects of individual parameterization changes indicate that the modification to the eddy diffusivity in the boundary layer and changes to deep convection contribute most significantly to the overall model improvements.
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47

Yao, Li Feng, Jian Fei Ouyang, and Xiang Ma. "Surface Parameterization for the Shape Analysis of Tube-Like Objects." Applied Mechanics and Materials 239-240 (December 2012): 694–99. http://dx.doi.org/10.4028/www.scientific.net/amm.239-240.694.

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In bio-medicine and other fields, shape analysis is very important for diagnosis of diseases and prediction of shape variation. This paper focuses on the surface parameterization of tube-like 3D objects to obtain and analyze shape information from a sample shape, including its size and the shape variation between different samples. It can well represent the global and local shape information for statistical analysis and for the construction of Medial Shape Model. Firstly, we extract the axis curve of the object by a heat conduction model. Secondly, we obtain the latitude circles by using the normal planes to cross the surface. Then we get the final parameterized surface with quad-dominant meshes by registering the points of single latitude circle and between different circles through coordinate transformation and alignment. Subsequently, we apply the approach to parameterization of a rib bone.
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48

Bondar, O. G., E. O. Brezhneva, O. G. Dobroserdov, K. G. Andreev, and N. V. Polyakov. "Synthesis and Parameterization of Gas Sensor Models." Proceedings of the Southwest State University 25, no. 1 (May 30, 2021): 138–61. http://dx.doi.org/10.21869/2223-1560-2021-25-1-138-161.

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Abstract:
Purpose of research: search and analysis of existing models of gas-sensitive sensors. Development of mathematical models of gas-sensitive sensors of various types (semiconductor, thermocatalytic, optical, electrochemical) for their subsequent use in the training of artificial neural networks (INS). Investigation of main physicochemical patterns underlying the principles of sensor operation, consideration of the influence of environmental factors and cross-sensitivity on the sensor output signal. Comparison of simulation results with actual characteristics produced by the sensor industry. The concept of creating mathematical models is described. Their parameterization, research and assessment of adequacy are carried out.Methods. Numerical methods, computer modeling methods, electrical circuit theory, the theory of chemosorption and heterogeneous catalysis, the Freundlich and Langmuir equations, the Buger-Lambert-Behr law, the foundations of electrochemistry were used in creating mathematical models. Standard deviation (MSE) and relative error were calculated to assess the adequacy of the models.Results. The concept of creating mathematical models of sensors based on physicochemical patterns is described. This concept allows the process of data generation for training artificial neural networks used in multi-component gas analyzers for the purpose of joint information processing to be automated. Models of semiconductor, thermocatalytic, optical and electrochemical sensors were obtained and upgraded, considering the influence of additional factors on the sensor signal. Parameterization and assessment of adequacy and extrapolation properties of models by graphical dependencies presented in technical documentation of sensors were carried out. Errors (relative and RMS) of discrepancy of real data and results of simulation of gas-sensitive sensors by basic parameters are determined. The standard error of reproduction of the main characteristics of the sensors did not exceed 0.5%.Conclusion. Multivariable mathematical models of gas-sensitive sensors are synthesized, considering the influence of main gas and external factors (pressure, temperature, humidity, cross-sensitivity) on the output signal and allowing to generate training data for sensors of various types.
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49

Li, C., X. J. Liu, and T. Deng. "A NEW OPTIMIZED RFM OF HIGH-RESOLUTION SATELLITE IMAGERY." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLI-B3 (June 9, 2016): 65–69. http://dx.doi.org/10.5194/isprs-archives-xli-b3-65-2016.

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Abstract:
Over-parameterization and over-correction are two of the major problems in the rational function model (RFM). A new approach of optimized RFM (ORFM) is proposed in this paper. By synthesizing stepwise selection, orthogonal distance regression, and residual systematic error correction model, the proposed ORFM can solve the ill-posed problem and over-correction problem caused by constant term. The least square, orthogonal distance, and the ORFM are evaluated with control and check grids generated from satellite observation Terre (SPOT-5) high-resolution satellite data. Experimental results show that the accuracy of the proposed ORFM, with 37 essential RFM parameters, is more accurate than the other two methods, which contain 78 parameters, in cross-track and along-track plane. Moreover, the over-parameterization and over-correction problems have been efficiently alleviated by the proposed ORFM, so the stability of the estimated RFM parameters and its accuracy have been significantly improved.
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50

Li, C., X. J. Liu, and T. Deng. "A NEW OPTIMIZED RFM OF HIGH-RESOLUTION SATELLITE IMAGERY." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLI-B3 (June 9, 2016): 65–69. http://dx.doi.org/10.5194/isprsarchives-xli-b3-65-2016.

Full text
Abstract:
Over-parameterization and over-correction are two of the major problems in the rational function model (RFM). A new approach of optimized RFM (ORFM) is proposed in this paper. By synthesizing stepwise selection, orthogonal distance regression, and residual systematic error correction model, the proposed ORFM can solve the ill-posed problem and over-correction problem caused by constant term. The least square, orthogonal distance, and the ORFM are evaluated with control and check grids generated from satellite observation Terre (SPOT-5) high-resolution satellite data. Experimental results show that the accuracy of the proposed ORFM, with 37 essential RFM parameters, is more accurate than the other two methods, which contain 78 parameters, in cross-track and along-track plane. Moreover, the over-parameterization and over-correction problems have been efficiently alleviated by the proposed ORFM, so the stability of the estimated RFM parameters and its accuracy have been significantly improved.
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