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books [1] |
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generalized barycentric coordinates in computer graphics and computational mechanics crc press · 2017 |
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journal papers [81] |
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bivariate range functions with superior convergence order |
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gl-k curves: a family of polynomial curves for intuitive modelling |
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linear barycentric rational hermite quadrature and its application to volterra integral equations |
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real-time conformal maps and parameterizations computer graphics forum · 2026 · accepted |
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practical compact routing on random unit disk graphs |
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transfinite barycentric coordinates for arbitrary planar domains |
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curvature continuous corner cutting |
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algorithm 1048: a c++ class for robust linear barycentric rational interpolation |
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a comprehensive comparison of algorithms for evaluating rational bézier curves |
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lfs-aware surface reconstruction from unoriented 3d point clouds |
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a new stable method to compute mean value coordinates |
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a survey on cage-based deformation of 3d models computer graphics forum · 2024 |
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new algebraic and geometric characterizations of planar quintic pythagorean-hodograph curves |
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histogram equalization using a selective filter the visual computer · 2023 |
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maximum likelihood coordinates computer graphics forum · 2023 |
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shape control tools for periodic bézier curves |
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efficient point-to-point resistance distance queries in large graphs |
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on the numerical stability of linear barycentric rational interpolation numerische mathematik · 2022 |
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non-uniform interpolatory subdivision schemes with improved smoothness |
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on landmark distances in polygons computer graphics forum · 2021 |
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new shape control tools for rational bézier curve design |
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singular cases of planar and spatial c¹ hermite interpolation problems based on quintic pythagorean-hodograph curves |
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convergence rates of a hermite generalization of floater–hormann interpolants |
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algebraic and geometric characterizations of a class of planar quartic curves with rational offsets |
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iterative coordinates |
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clipping simple polygons with degenerate intersections computers & graphics · 2019 |
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de-path: a differential-evolution-based method for computing energy-minimizing paths on surfaces computer-aided design · 2019 |
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behaviour of exponential three-point coordinates at the vertices of convex polygons |
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on the lebesgue constant of barycentric rational hermite interpolants at equidistant nodes |
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an iterative approach to barycentric rational hermite interpolation numerische mathematik · 2018 |
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path planning with divergence-based distance functions |
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efficient path generation with reduced coordinates computer graphics forum · 2018 |
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symmetric four-directional bivariate pseudo-spline symbols |
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reconstruction of a function from hermite–birkhoff data |
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parametric finite elements with bijective mappings bit numerical mathematics · 2017 |
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convergence rates of derivatives of floater–hormann interpolants for well-spaced nodes |
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blended barycentric coordinates |
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discretizing wachspress kernels is safe |
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creating light atlases with multi-bounce indirect illumination computers & graphics · 2016 |
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subdividing barycentric coordinates |
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pyramid algorithms for barycentric rational interpolation |
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on the approximation order of triangular shepard interpolation |
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univariate subdivision schemes for noisy data with geometric applications |
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smooth bijective maps between arbitrary planar polygons |
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perception-driven adaptive compression of static triangle meshes computer-aided design · 2015 |
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local barycentric coordinates acm transactions on graphics · 2014 |
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pseudo-spline subdivision surfaces computer graphics forum · 2014 |
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curvature-based blending of closed planar curves graphical models · 2014 |
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compressing dynamic meshes with geometric laplacians computer graphics forum · 2014 |
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efficient interpolation of articulated shapes using mixed shape spaces computer graphics forum · 2013 |
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bijective composite mean value mappings computer graphics forum · 2013 |
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on the norms of the dubuc–deslauriers subdivision schemes |
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generalized lane–riesenfeld algorithms |
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bounding the lebesgue constant for berrut's rational interpolant at general nodes |
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motion-based mesh segmentation using augmented silhouettes graphical models · 2012 |
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geometric conditions for tangent continuity of interpolatory planar subdivision curves |
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a continuous, editable representation for deforming mesh sequences with separate signals for time, pose and shape computer graphics forum · 2012 |
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on the lebesgue constant of barycentric rational interpolation at equidistant nodes numerische mathematik · 2012 |
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barycentric rational interpolation at quasi-equidistant nodes |
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on the lebesgue constant of berrut's rational interpolant at equidistant nodes |
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a complex view of barycentric mappings computer graphics forum · 2011 |
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polynomial reproduction for univariate subdivision schemes of any arity |
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parameterizing subdivision surfaces acm transactions on graphics · 2010 |
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properties of dual pseudo-splines |
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multi-scale geometry interpolation computer graphics forum · 2010 |
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modeling transformation paths of multiphase materials: the triple point of zirconia physical review b · 2009 |
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four-point curve subdivision based on iterated chordal and centripetal parameterizations |
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polynomial reproduction by symmetric subdivision schemes |
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maximum entropy coordinates for arbitrary polytopes computer graphics forum · 2008 |
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mesh massage: a versatile mesh optimization framework the visual computer · 2008 |
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interactive rendering of dynamic geometry ieee transactions on visualization and computer graphics · 2008 |
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a family of subdivision schemes with cubic precision |
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barycentric rational interpolation with no poles and high rates of approximation numerische mathematik · 2007 |
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on landau theory and symmetric energy landscapes for phase transitions |
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mean value coordinates for arbitrary planar polygons acm transactions on graphics · 2006 |
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a general construction of barycentric coordinates over convex polygons |
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polycube-maps acm transactions on graphics · 2004 |
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hierarchical iso-surface extraction journal of computing and information science in engineering · 2002 |
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remeshing triangulated surfaces with optimal parameterizations computer-aided design · 2001 |
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the point in polygon problem for arbitrary polygons computational geometry · 2001 |
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efficient clipping of arbitrary polygons acm transactions on graphics · 1998 |
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book chapters [4] |
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geometry processing encyclopedia of applied and computational mathematics · 2015 |
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surface parameterization: a tutorial and survey |
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parameterization of triangulations and unorganized points |
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fitting free form surfaces |
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articles in books [8] |
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range functions of any convergence order and their amortized complexity analysis |
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barycentric interpolation |
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a c² four-point subdivision scheme with fourth order accuracy and its extensions |
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triangulating point clouds with spherical topology curve and surface design · 2003 |
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parameterization of manifold triangulations approximation theory x · 2002 |
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optimizing 3d triangulations using discrete curvature analysis |
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mips: an efficient global parametrization method curve and surface design · 2000 |
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interpolating and approximating scattered 3d-data with hierarchical tensor roduct b-splines |
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proceedings papers [19] |
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trigonometric tangent interpolating curves pacific graphics · 2024 |
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a linear method to consistently orient normals of a 3d point cloud siggraph · 2024 |
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compressing geodesic information for fast point-to-point geodesic distance queries siggraph asia · 2022 |
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novel range functions via taylor expansions and recursive lagrange interpolation with application to real root isolation international symposium on symbolic and algebraic computation · 2021 |
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multinode rational operators for univariate interpolation |
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on the enhancement of the approximation order of triangular shepard method |
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a mixed shape space for fast interpolation of articulated shapes |
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hardware accelerated 3d mesh painting |
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a hybrid gpu rendering pipeline for alias-free hard shadows eurographics areas · 2009 |
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thinning mesh animations |
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a quadrilateral rendering primitive graphics hardware · 2004 |
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c¹-continuous terrain reconstruction from sparse contours |
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from scattered samples to smooth surfaces |
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hierarchical extraction of iso-surfaces with semi-regular meshes |
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a sub-atomic subdivision approach |
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interactive repositioning of bone fracture segments |
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quadrilateral remeshing |
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using most isometric parametrizations for remeshing polygonal surfaces |
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hierarchical parametrization of triangulated surfaces |
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preprints [7] |
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secure data hiding for digital contact tracing arXiv · 2020 |
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on divergence-based distance functions for multiply-connected domains arXiv · 2018 |
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exploring compression in edge shape space technical report · 2015 |
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efficient evaluation of interpolating cubic polynomials technical report · 2008 |
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neural gas for surface reconstruction technical report · 2007 |
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c²-continuous surface reconstruction with piecewise polynomial patches technical report · 2003 |
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an easy way of detecting subdivision connectivity in a triangle mesh technical report · 2002 |
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theses [2] |
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theory and applications of parameterizing triangulations phd thesis · 2001 |
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glatte approximation mit hierarchischen splineflächen diploma thesis · 1997 |
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software [1] |
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2d generalized barycentric coordinates cgal 4.6 · 2015 [abstract] [bibtex] [user manual] [reference manual] |
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course notes [2] |
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mesh parameterization: theory and practice siggraph asia course notes · 2008 |
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mesh parameterization: theory and practice siggraph course notes · 2007 |
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proceedings & special issues [9] |
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paul de faget de casteljau, a pioneer in cagd |
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generalized barycentric coordinates |
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eurographics 2015: state of the art reports computer graphics forum · 2015 |
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solid and physical modeling 2014 computer-aided design · 2015 |
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recent trends in theoretical and applied geometry |
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2013 siam conference on geometric and physical modeling computer-aided design · 2014 |
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vision, modeling, and visualization 2013 eurographics association · 2013 |
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geometric modeling and processing 2012 · part 2 |
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geometric modeling and processing 2012 · part 1 graphical models · 2012 |
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