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Accessory parameters in conformal mapping: exploiting the isomonodromic tau function for Painlevé VI [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2018 We present a novel method to solve the accessory parameter problem arising in constructing conformal maps from a canonical simply connected planar region to the interior of a circular arc quadrilateral. The Schwarz–Christoffel accessory parameter problem,
Bruno Carneiro da Cunha +2 more
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Conformal mapping for multiple terminals. [PDF]
Sci Rep, 2016 Conformal mapping is an important mathematical tool that can be used to solve various physical and engineering problems in many fields, including electrostatics, fluid mechanics, classical mechanics, and transformation optics.
Wang W, Ma W, Wang Q, Ren H.
europepmc +8 more sources
Conformal Mapping with as Uniform as Possible Conformal Factor [PDF]
SIAM Journal on Imaging Sciences, 2013 According to the uniformization theorem, any surface can be conformally mapped into a domain of a constant Gaussian curvature. The conformal factor indicates the local scaling introduced by such a mapping. This process could be used to compute geometric quantities in a simplified flat domain with zero Gaussian curvature. For example, the computation of
Yonathan Aflalo, Michael Zibulevsky
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Numerical Conformal Mapping [PDF]
Notices of the American Mathematical SocietyMost conformal maps cannot be found analytically, so when computers began to appear in the 1950s and 1960s, the field of numerical conformal mapping was born.
L. Trefethen
semanticscholar +3 more sources
New conformal mapping for adaptive resolving of the complex singularities of Stokes wave. [PDF]
Proc Math Phys Eng Sci, 2017 A new highly efficient method is developed for computation of travelling periodic waves (Stokes waves) on the free surface of deep water. A convergence of numerical approximation is determined by the complex singularities above the free surface for the ...
Lushnikov PM +2 more
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Tongue Image Alignment via Conformal Mapping for Disease Detection
IEEE Access, 2020 Tongue image analysis has been an active study in medical imaging. Existing tongue image processing approaches deal with the issue of image alignment in oversimplified ways.
Jian Wu, Bob Zhang, Yong Xu, David Zhang
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Logarithm conformal mapping brings the cloaking effect. [PDF]
Sci Rep, 2014 Over the past years, invisibility cloaks have been extensively discussed since transformation optics emerges. Generally, the electromagnetic parameters of invisibility cloaks are complicated tensors, yet difficult to realize.
Xu L, Chen H.
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Elliptical generalized Maxwell fish-eye lens using conformal mapping
New Journal of Physics, 2019 A circular graded index lens is conformally transformed to an elliptical shape using a closed-form transformation. The proposed transformation is then employed to compress a Maxwell fish-eye and its generalized version.
Hossein Eskandari +3 more
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Diffusive pseudo-conformal mapping: Anisotropy-free transformation thermal media with perfect interface matching [PDF]
Chaos, Solitons & Fractals, 2023 Transformation media provide a fundamental paradigm for field regulation, but their tricky anisotropy challenges fabrication. Though optical conformal mapping has been utilized to eliminate anisotropy, two key factors still hinder its development in ...
Gaole Dai +4 more
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Computer Methods in Applied Mechanics and Engineering, 2018 Shikui Chen +2 more
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