Relevant bibliographies by topics / Inverse geometry problem

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Inverse geometry problem'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Inverse geometry problem"

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Karpov, Petr I., and Tatyana Zakharova. "Magnetoencephalography inverse problem in the spheroid geometry." Journal of Inverse and Ill-posed Problems 27, no. 2 (2019): 159–69. http://dx.doi.org/10.1515/jiip-2017-0101.

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AbstractThe inverse problem of magnetoencephalography is ill-posed and difficult for both analytical and numerical solutions. Additional complications arise from the volume (passive) currents and the associated magnetic fields, which strongly depend on the brain geometry. In this paper, we find approximate analytical solutions for the forward and the inverse problems in the spheroid geometry. We compare the obtained results with the exact solution of the forward problem and deduce that for a wide range of parameters our approximation is valid. The analysis sheds new light on the role of the vo
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Ivey, Thomas A. "An Inverse Problem from sub-Riemannian geometry." Pacific Journal of Mathematics 208, no. 1 (2003): 111–24. http://dx.doi.org/10.2140/pjm.2003.208.111.

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Solovjeva, Inna A., Denis S. Solovjev, and Yuri V. Litovka. "Solving the Inverse Problem of Recovering the 3D Surface of a Detail According to its 2D Projections in the Modelling of Electroplating Processes." Materials Science Forum 1037 (July 6, 2021): 581–88. http://dx.doi.org/10.4028/www.scientific.net/msf.1037.581.

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The article considers the influence of the surface geometry of a detail on the deposition of coating thickness in the simulation of electroplating processes. The methods for obtaining sets of points describing the surface of a detail are analyzed. Solving the inverse problem (recovering the 3D surface of a detail according to its 2D drawings) is the most promising method. The inverse problem solution is decomposed into simpler geometric problems: input data processing; obtaining primitives; obtaining the desired surface of a detail by applying logical operations to primitives. Mathematical sta
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Andrieux, S., and H. D. Bui. "On some nonlinear inverse problems in elasticity." Theoretical and Applied Mechanics 38, no. 2 (2011): 125–54. http://dx.doi.org/10.2298/tam1102125a.

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In this paper, we make a review of some inverse problems in elasticity, in statics and dynamics, in acoustics, thermoelasticity and viscoelasticity. Crack inverse problems have been solved in closed form, by considering a nonlinear variational equation provided by the reciprocity gap functional. This equation involves the unknown geometry of the crack and the boundary data. It results from the symmetry lost between current fields and adjoint fields which is related to their support. The nonlinear equation is solved step by step by considering linear inverse problems. The normal to the crack pl
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Nicolet, Baptiste, Alec Jacobson, and Wenzel Jakob. "Large steps in inverse rendering of geometry." ACM Transactions on Graphics 40, no. 6 (2021): 1–13. http://dx.doi.org/10.1145/3478513.3480501.

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Inverse reconstruction from images is a central problem in many scientific and engineering disciplines. Recent progress on differentiable rendering has led to methods that can efficiently differentiate the full process of image formation with respect to millions of parameters to solve such problems via gradient-based optimization. At the same time, the availability of cheap derivatives does not necessarily make an inverse problem easy to solve. Mesh-based representations remain a particular source of irritation: an adverse gradient step involving vertex positions could turn parts of the mesh i
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Padmanabhan, B., V. Arun, and C. F. Reinholtz. "Closed-Form Inverse Kinematic Analysis of Variable-Geometry Truss Manipulators." Journal of Mechanical Design 114, no. 3 (1992): 438–43. http://dx.doi.org/10.1115/1.2926571.

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A variety of applications for variable-geometry truss manipulators (VGTMs) have been demonstrated or proposed in the literature. Most of these applications require solution to the inverse kinematic problem, yet only a few isolated examples of closed-form solution methods have been presented to date. This paper provides an overview to the general problem of inverse kinematic analysis of variable-geometry truss manipulators and presents new closed-form solution techniques for problems of practical importance.
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BEALS, RICHARD, and PETER C. GREINER. "STRINGS, WAVES, DRUMS: SPECTRA AND INVERSE PROBLEMS." Analysis and Applications 07, no. 02 (2009): 131–83. http://dx.doi.org/10.1142/s0219530509001335.

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This survey treats a number of interconnected topics related in one way or another to the famous paper of Mark Kac, "Can one hear the shape of a drum?": wave motion, classical and quantum inverse problems, integrable systems, and the relations between spectra and geometry. We sketch the history and some of the principal developments from the vibrating string to quantum inverse problems, the KdV equation and integrable systems, spectral geometry and the index problem.
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Sten, J. C. E., and E. A. Marengo. "Inverse Source Problem in an Oblate Spheroidal Geometry." IEEE Transactions on Antennas and Propagation 54, no. 11 (2006): 3418–28. http://dx.doi.org/10.1109/tap.2006.884292.

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Li, Ying, Xiaohuan Mo, and Yaoyong Yu. "Inverse problem of sprays with scalar curvature." International Journal of Mathematics 30, no. 09 (2019): 1950041. http://dx.doi.org/10.1142/s0129167x19500411.

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Every Finsler metric on a differential manifold induces a spray. The converse is not true. Therefore, it is one of the most fundamental problems in spray geometry to determine whether a spray is induced by a Finsler metric which is regular, but not necessary positive definite. This problem is called inverse problem. This paper discuss inverse problem of sprays with scalar curvature. In particular, we show that if such a spray [Formula: see text] on a manifold is of vanishing [Formula: see text]-curvature, but [Formula: see text] has not isotropic curvature, then [Formula: see text] is not indu
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Michel, Vincent. "The Two-Dimensional Inverse Conductivity Problem." Journal of Geometric Analysis 30, no. 3 (2019): 2776–842. http://dx.doi.org/10.1007/s12220-018-00139-2.

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Dissertations / Theses on the topic "Inverse geometry problem"

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Ma, Yilin. "Nonlinear Calderón Problem on Stein Manifolds." Thesis, The University of Sydney, 2021. https://hdl.handle.net/2123/25757.

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This thesis is devoted to the study of inverse problems for semilinear elliptic equations on Stein manifolds with Kähler metric. After developing some preliminary techniques, we will show that the Dirichlet-Neumann maps for certain semilinear elliptic equations determine the nonlinearities. We will consider two inverse problems of this kind with distinct geometric conditions imposed. The first one is the inverse problem for nonlinear Schrödinger equations on Kähler manifolds having specific Stein-like properties. The second one is the inverse problem for nonlinear magnetic Schrödinger equation
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Cekić, Mihajlo. "The Calderón problem for connections." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/267829.

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This thesis is concerned with the inverse problem of determining a unitary connection $A$ on a Hermitian vector bundle $E$ of rank $m$ over a compact Riemannian manifold $(M, g)$ from the Dirichlet-to-Neumann (DN) map $\Lambda_A$ of the associated connection Laplacian $d_A^*d_A$. The connection is to be determined up to a unitary gauge equivalence equal to the identity at the boundary. In our first approach to the problem, we restrict our attention to conformally transversally anisotropic (cylindrical) manifolds $M \Subset \mathbb{R}\times M_0$. Our strategy can be described as follows: we con
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Nurge, Mark. "ELECTRICAL CAPACITANCE VOLUME TOMOGRAPHY OF HIGH CONTRAST DIELECTRICS USING A CUBOID GEOMETRY." Doctoral diss., University of Central Florida, 2007. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2974.

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An Electrical Capacitance Volume Tomography system has been created for use with a new image reconstruction algorithm capable of imaging high contrast dielectric distributions. The electrode geometry consists of two 4 x 4 parallel planes of copper conductors connected through custom built switch electronics to a commercially available capacitance to digital converter. Typical electrical capacitance tomography (ECT) systems rely solely on mutual capacitance readings to reconstruct images of dielectric distributions. This dissertation presents a method of reconstructing images of high contrast d
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Ni, Marcus. "Automated Hybrid Singularity Superposition and Anchored Grid Pattern BEM Algorithm for the Solution of the Inverse Geometric Problem." Master's thesis, University of Central Florida, 2013. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5827.

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A method for solving the inverse geometrical problem is presented by reconstructing the unknown subsurface cavity geometry using boundary element methods, a genetic algorithm, and Nelder-Mead non-linear simplex optimization. The heat conduction problem is solved utilizing the boundary element method, which calculates the difference between the measured temperature at the exposed surface and the computed temperature under the current update of the unknown subsurface flaws and cavities. In a first step, clusters of singularities are utilized to solve the inverse problem and to identify the locat
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Sousa, Cristiano Benevides de. "Inversão Geométrica Aplicada à Resolução dos Problemas de Apolônio." Universidade Federal da Paraíba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7570.

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Submitted by Viviane Lima da Cunha (viviane@biblioteca.ufpb.br) on 2015-11-09T15:46:19Z No. of bitstreams: 1 arquivototal.pdf: 1967459 bytes, checksum: a691ca832c8c32056bec4fdb8b24f47a (MD5)<br>Approved for entry into archive by Maria Suzana Diniz (msuzanad@hotmail.com) on 2015-11-10T11:33:54Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 1967459 bytes, checksum: a691ca832c8c32056bec4fdb8b24f47a (MD5)<br>Made available in DSpace on 2015-11-10T11:33:54Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1967459 bytes, checksum: a691ca832c8c32056bec4fdb8b24f47a (MD5) Previous issue date: 2014-0
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Ragon, Théa. "Études des incertitudes dans l’imagerie de la rupture sismique." Thesis, Université Côte d'Azur (ComUE), 2019. http://www.theses.fr/2019AZUR4023.

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Les séismes rompent des failles inaccessibles situées à plusieurs kilomètres sous la surface terrestre. Alors, comment les comprendre puisque l’on ne peut les observer directement ? Notre seul recours est d’ausculter le globe terrestre depuis sa surface. Hélas, la quantité, la variété et la qualité de ces observations superficielles sont insuffisantes pour caractériser ces phénomènes complexes, et l’image des séismes que nous dressons est altérée par de nombreuses approximations. Ces approximations sont souvent nécessaires sous peine de ne pouvoir modéliser les séismes. Elles dérivent des limi
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Rullgård, Hans. "Topics in geometry, analysis and inverse problems." Doctoral thesis, Stockholm University, Department of Mathematics, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-15.

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<p>The thesis consists of three independent parts.</p><p>Part I: Polynomial amoebas</p><p>We study the amoeba of a polynomial, as de ned by Gelfand, Kapranov and Zelevinsky. A central role in the treatment is played by a certain convex function which is linear in each complement component of the amoeba, which we call the Ronkin function. This function is used in two di erent ways. First, we use it to construct a polyhedral complex, which we call a spine, approximating the amoeba. Second, the Monge-Ampere measure of the Ronkin function has interesting properties which we explore. This measure c
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Rullgård, Hans. "Topics in geometry, analysis and inverse problems /." Stockholm : Matematiska institutionen, Univ, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-15.

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Mantovani, Rocco. "Modelling complex systems in the severely undersampled regime: a Bayesian model selection approach." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18019/.

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L'inferenza di modelli di spin è uno strumento diffuso nell'approccio statistico ai sistemi complessi. Tipicamente ci si limita a modelli con interazioni a uno e due corpi: per il principio di massima entropia, ciò equivale ad assumere che magnetizzazioni e correlazioni a coppie costituiscano le variabili rilevanti (statistiche sufficienti) del sistema. L'assunzione non è giustificabile nel caso generale sulla base di argomenti puramente statistici; il problema della selezione tra modelli con interazioni di ordine arbitrario è però alto-dimensionale. Esso può essere affrontato trami
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Chada, Neil Kumar. "Ensemble based methods for geometric inverse problems." Thesis, University of Warwick, 2018. http://wrap.warwick.ac.uk/111386/.

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Since the development of the ensemble Kalman filter, it has seen a wide application to many scientific fields ranging from signal processing to weather forecasting and reservoir simulation. One field which has recently seen a keen interest towards filtering techniques is that of inverse problems. Ensemble-based methods are a popular choice of filtering techniques as they provide a computational advantage over traditional methods whilst retaining a good level of accuracy. This thesis is concerned with developing analysis and numerics of ensemble Kalman inversion (EKI) in the context of Bayesian
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Books on the topic "Inverse geometry problem"

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Bérard, Pierre H. Spectral Geometry: Direct and Inverse Problems. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0076330.

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1945-, Andersson S. I., and Lapidus Michel L. 1956-, eds. Progress in inverse spectral geometry. Birkhäuser Verlag, 1997.

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Amirov, A. Kh. Integral geometry and inverse problems for kinetic equations. VSP, 2001.

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Petkov, Vesselin. Geometry of reflecting rays and inverse spectral problems. Wiley, 1992.

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Bingham, Kenrick, Yaroslav V. Kurylev, and Erkki Somersalo, eds. New Analytic and Geometric Methods in Inverse Problems. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-08966-8.

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Croke, Christopher B., Michael S. Vogelius, Gunther Uhlmann, and Irena Lasiecka, eds. Geometric Methods in Inverse Problems and PDE Control. Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4684-9375-7.

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Croke, Christopher B. Geometric Methods in Inverse Problems and PDE Control. Springer New York, 2004.

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Petkov, Vesselin M. Geometry of the Generalized Geodesic Flow and Inverse Spectral Problems 2e. John Wiley & Sons, Inc., 2017. http://dx.doi.org/10.1002/9781119107682.

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Ali, Mohamad-Djafari, ed. Inverse problems in vision and 3D tomography. ISTE, 2009.

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Golubyatnikov, V. P. Uniqueness questions in reconstruction of multidimensional objects from tomography-type projection data. VSP, 2000.

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Book chapters on the topic "Inverse geometry problem"

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Tonti, Enzo. "Inverse Problem: Its General Solution." In Differential Geometry, Calculus of Variations, and Their Applications. CRC Press, 2023. http://dx.doi.org/10.1201/9781003420033-32.

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Vrscay, Edward R. "Iterated function systems: theory, applications and the inverse problem." In Fractal Geometry and Analysis. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-015-7931-5_10.

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Vila, Núria. "Arithmetical-Geometrical Galois Representations and the Inverse Galois Problem." In Algebra, Arithmetic and Geometry with Applications. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18487-1_48.

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Hronek, Stanislav. "Weak Inverse Problem of Calculus of Variations for Geodesic Mappings and Relation to Harmonic Maps." In Nonlinear PDEs, Their Geometry, and Applications. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-17031-8_9.

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Chávez, Carlos Eduardo, Nejib Zemzemi, Yves Coudière, Felipe Alonso-Atienza, and Diego Álvarez. "Inverse Problem of Electrocardiography: Estimating the Location of Cardiac Ischemia in a 3D Realistic Geometry." In Functional Imaging and Modeling of the Heart. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-20309-6_45.

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Baldi, Antonio, Pietro Maria Santucci, Giorgio Carta, Michele Brun, and Daniele Lai. "The Miura Ori Geometry: From Brilliant Theory to Surprising Auxetic Properties." In Thermomechanics & Infrared Imaging, Inverse Problem Methodologies and Mechanics of Additive & Advanced Manufactured Materials, Volume 6. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-17475-9_8.

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Wang, Xiaochang. "Geometric Inverse Eigenvalue Problem." In Computation and Control. Birkhäuser Boston, 1989. http://dx.doi.org/10.1007/978-1-4612-3704-4_27.

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Isakov, Victor. "Integral Geometry and Tomography." In Inverse Problems for Partial Differential Equations. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51658-5_7.

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Isakov, Victor. "Integral Geometry and Tomography." In Inverse Problems for Partial Differential Equations. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4899-0030-2_7.

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Burago, Yuri, and David Shoenthal. "Metric Geometry." In New Analytic and Geometric Methods in Inverse Problems. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-08966-8_1.

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Conference papers on the topic "Inverse geometry problem"

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Shao, Yunzhe, Nicholas W. Jenkins, Clay Klein, et al. "Multi-Modal Extreme-Ultraviolet Reflectometer: Solving Inverse Problems in Nanoscale Metrology." In Frontiers in Optics. Optica Publishing Group, 2024. https://doi.org/10.1364/fio.2024.ftu1b.3.

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We present a unique instrument, designed to characterize the composition, geometry, topography, and interface quality of 2D heterostructures. We demonstrate three modes of characterizations, including reflectometry, scatterometry, and coherent diffractive imaging reflectometry.
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Ali, Shurooq H., Zainab A. Mansour, Fatima M. Aboud, and Ghassan Arif. "Solving geometry problem for inverse Cauchy problem for Helmholtz and modified Helmholtz equation." In 6TH INTERNATIONAL CONFERENCE FOR PHYSICS AND ADVANCE COMPUTATION SCIENCES: ICPAS2024. AIP Publishing, 2025. https://doi.org/10.1063/5.0270451.

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Venkataraman, P. "Feature Based Problems in Inverse Airfoil Design." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/dac-1492.

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Abstract A new approach to the design of optimal airfoil shapes is presented in the paper. This requires redefinition of airfoil geometry through Bezier parametric curves whose vertices are the design variables of the problem. A basic panel method incorporating an integral boundary layer development model provides the aerodynamic analysis necessary to solve the optimization problems in airfoil shapes. The optimization technique can be easily adapted to solve the inverse design problem of determining the airfoil geometry for a specified pressure distribution. In this paper it is shown how the i
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LESLIE, JOSHUA A. "ON A SOLUTION TO A GLOBAL INVERSE PROBLEM WITH RESPECT TO CERTAIN GENERALIZED SYMMETRIZABLE KAC-MOODY ALGEBRAS." In Infinite Dimensional Lie Groups in Geometry and Representation Theory. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777089_0003.

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Andriychuk, Mykhaylo I., and Victor P. Tkachuk. "New solutions to synthesis problem of plane array with hexagonal geometry." In 2014 XIXth IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED). IEEE, 2014. http://dx.doi.org/10.1109/diped.2014.6958325.

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Wilson, D. E. "An Explicit Inverse Design Formulation for Compressible Flow." In ASME 1986 International Gas Turbine Conference and Exhibit. American Society of Mechanical Engineers, 1986. http://dx.doi.org/10.1115/86-gt-81.

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A new singular integral equation method has been developed for solving the full nonlinear potential flow about an arbitrary body. The method bears some resemblance to conventional integral methods, however it is inherently different in that the surface geometry is contained explicitly in the resulting integral equations. Several analytical results are exploited to reduce the two-dimensional integral equations to a one-dimensional problem on the body surface. The integral equation is inverted so that the airfoil geometry is given as an explicit function of the velocity field. The resulting one-
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Zhao, Junming, Jun Qiu, and Linhua Liu. "Accurate Geometry Design of Magnetic Polariton With Specified Resonance Wavelength: A Combined LC Circuit Model and Inverse Technique." In ASME 2016 5th International Conference on Micro/Nanoscale Heat and Mass Transfer. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/mnhmt2016-6581.

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For enhancement of absorption and transmission at a specified wavelength using magnetic polariton (MP) resonance, it is necessary to determine the accurate geometry parameters at the corresponding resonance condition. In this work, the feature of the geometry design problem is analyzed and a method is presented for accurately determining the geometry parameters for specified MP resonance mode, which combines the LC circuit model for MP and inverse technique. The LC circuit model is used to give an initial rough design of geometric parameters and parameters range for the inverse algorithm. The
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Gunes, Hasan, and Sertac Cadirci. "Modeling and Inverse Design of Convective Heat Transfer in a Grooved Channel Using Proper Orthogonal Decomposition." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10780.

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In this study we show that the POD can be used as a useful tool to solve inverse design problems in thermo-fluids. In this respect, we consider a forced convection problem of air flow in a grooved channel with periodically mounted constant heat-flux heat sources. It represents a cooling problem in electronic equipments where the coolant is air. The cooling of electronic equipments with constant periodic heat sources is an important problem in the industry such that the maximum operating temperature must be kept below a value specified by the manufacturer. Geometric design in conjunction with t
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Shan, Peng, Jingyuan Wang, and Zhentao Lv. "Study of Semi-Inverse Problem for the Design of Annular S-Shaped Compressor Transition Duct." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-43969.

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A new aerodynamic design strategy of the S-shaped transition duct between two compressor components was studied. Based on the controlled wall pressure gradient distribution and the wall velocity distribution, a semi-inverse problem of the transition duct was proposed, the corresponding inverse and direct approach codes were developed. To verify the feasibility of this method, two axial-centrifugal compressor transition ducts were designed. The results show that the static pressure distribution on the inner wall and the duct geometry both can be controlled freely by adjusting the inverse design
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Fazeli, Hamid, Masoud Mirzaei, and Pourya Forooghi. "Estimation of Location and Size of Defects in a Solid Body via Inverse Heat Conduction Problem." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-23075.

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In the present paper, geometry specification in the inverse heat conduction problems (IHCP) is applied to detect the location and size of defect in a solid body. A crack or cavity is modeled as a supper-elliptic geometry whose parameters are estimated with inverse heat conduction problems. Both inverse analysis and gradient-based optimization method have been applied to an inverse algorithm that iteratively estimates the defect shape parameters. The inverse analysis is based on recording temperatures data on outer surface of solid domain that determines the objective function in the inverse al
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