Yuan Xu
University of Oregon
314 Papers
2K Citations
Yuan Xu is an academic researcher from University of Oregon. The author has contributed to research in topics: Orthogonal polynomials & Unit sphere. The author has an hindex of 40, co-authored 302 publications. Previous affiliations of Yuan Xu include University of Southern Indiana & Temple University.
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Papers
Development and Validation of a Novel Methodological Pipeline to Integrate Neuroimaging and Photogrammetry for Immersive 3D Cadaveric Neurosurgical Simulation
Sahin Hanalioglu,Nicolas Gonzalez Romo,G. Mignucci-Jiménez,O. Tunç,Muhammet Enes Gurses,Irakliy Abramov,Yuan Xu,Balkan Şahin,Ilkay Isikay,İlkan Tatar,Mustafa Berker,Michael T. Lawton,Mark C. Preul +12 more
TL;DR: The novel technique of co-registering neuroimaging and photogrammetry-based 3D models can substantially supplement anatomical knowledge by adding detail and texture to 3D virtual models and be used in realistic surgical simulations to improve neurosurgical education.
Sobolev orthogonal polynomials on product domains
TL;DR: The main result shows how an orthogonal basis for such an inner product can be constructed for certain weight functions, in particular, for product Laguerre and product Gegenbauer weight functions.
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Orthogonal polynomials in and on a quadratic surface of revolution
Sheehan Olver,Yuan Xu +1 more
TL;DR: In this paper, the authors present explicit constructions of orthogonal polynomials inside quadratic bodies of revolution, including cones, hyperboloids, and paraboloids.
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A new reconstruction algorithm for Radon data
Yuan Xu,Oleg Tischenko,Christoph Hoeschen +2 more
- 02 Mar 2006
TL;DR: Tischenko et al. as mentioned in this paper proposed an Orthogonal Polynomial Expansion on the Disk (OPED) method for Radon data reconstruction, which is fundamentally different from the filtered back projection (FBP) method.
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Decomposition of spaces of distributions induced by tensor product bases
TL;DR: In this paper, Rapidly decaying kernels and frames (needlets) in the context of tensor product Jacobi polynomials are developed based on several constructions of multivariate C ∞ cutoff functions, which are further employed to the development of the theory of weighted Triebel-Lizorkin and Besov spaces on [ − 1, 1 ] d.
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