In: International journal for numerical methods in biomedical engineering, 2021, vol. 37, no. 10, p. 23
In electrocardiography, the “classic” inverse problem is the reconstruction of electric potentials at a surface enclosing the heart from remote recordings at the body surface and an accurate description of the anatomy. The latter being affected by noise and obtained with limited resolution due to clinical constraints, a possibly large uncertainty may be perpetuated in the inverse ...
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In: International Mathematics Research Notices, ///-
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In: BIT Numerical Mathematics, 2015, vol. 55, no. 2, p. 319-340
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In: Radiation and Environmental Biophysics, 2015, vol. 54, no. 2, p. 167-174
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In: Journal of Dynamics and Differential Equations, 2015, vol. 27, no. 3-4, p. 533-553
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In: Advances in Calculus of Variations, 2017, vol. 10, no. 4, p. 407-421
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In: Duke Mathematical Journal, 2020, vol. 169, no. 4, p. 761–797
We use the recently established existence and regularity of area and energy minimizing disks in metric spaces to obtain canonical parameterizations of metric surfaces. Our approach yields a new and conceptually simple proof of a well-known theorem of Bonk and Kleiner on the existence of quasisymmetric parameterizations of linearly locally connected, Ahlfors 2-regular metric 2-spheres....
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In: Communications in Mathematical Physics, 2014, vol. 331, no. 3, p. 1029-1039
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In: Numerische Mathematik, 2012, vol. 121, no. 3, p. 397-431
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In: Numerische Mathematik, 2012, vol. 122, no. 1, p. 1-59
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