David Levin
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Measure Theory
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Mathematics
David Levin's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
- Bachelors Mathematics Stanford University
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(Suggest an Edit or Addition)David Levin's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Computing and Rendering Point Set Surfaces (2003) (977)
- Point set surfaces (2001) (810)
- The approximation power of moving least-squares (1998) (800)
- A 4-point interpolatory subdivision scheme for curve design (1987) (695)
- As-rigid-as-possible shape interpolation (2000) (569)
- Mesh-Independent Surface Interpolation (2004) (520)
- Numerical Procedures for Surface Fitting of Scattered Data by Radial Functions (1986) (449)
- Subdivision schemes in geometric modelling (2002) (396)
- Development of non-linear transformations for improving convergence of sequences (1972) (388)
- Linear rotation-invariant coordinates for meshes (2005) (360)
- Green Coordinates (2008) (333)
- Differential coordinates for interactive mesh editing (2004) (313)
- Parameterization-free projection for geometry reconstruction (2007) (304)
- Data Dependent Triangulations for Piecewise Linear Interpolation (1990) (289)
- Three-dimensional distance field metamorphosis (1998) (259)
- Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations (1982) (249)
- Fast integration of rapidly oscillatory functions (1996) (223)
- Progressive compression of arbitrary triangular meshes (1999) (201)
- Optimizing 3D triangulations using discrete curvature analysis (2001) (188)
- Analysis of uniform binary subdivision schemes for curve design (1991) (187)
- Analysis of asymptotically equivalent binary subdivision schemes (1995) (160)
- Two New Classes of Nonlinear Transformations for Accelerating the Convergence of Infinite Integrals and Series (1981) (157)
- GPU-assisted positive mean value coordinates for mesh deformations (2007) (145)
- Analysis of a collocation method for integrating rapidly oscillatory functions (1997) (105)
- Surface simplification using a discrete curvature norm (2002) (91)
- Volume and shape preservation via moving frame manipulation (2007) (85)
- Using parameters to increase smoothness of curves and surfaces generated by subdivision (1990) (83)
- Data-dependent MLS for faithful surface approximation (2007) (83)
- Generalized Refinement Equations and Subdivision Processes (1995) (78)
- Interpolatory convexity-preserving subdivision schemes for curves and surfaces (1992) (76)
- Exponentials Reproducing Subdivision Schemes (2003) (73)
- Analysis of Hermite-interpolatory subdivision schemes (1999) (68)
- Multivariate Approximation and Applications: Index (2001) (66)
- Interpolating Subdivision Schemes for the Generation of Curves and Surfaces (1990) (65)
- Multidimensional Reconstruction by Set-valued Approximations (1986) (65)
- Convexity preservation of the four-point interpolatory subdivision scheme (1999) (62)
- Algorithms for the construction of data dependent triangulations (1990) (60)
- Geometrically Controlled 4-Point Interpolatory Schemes (2005) (58)
- Algorithmic handwriting analysis of Judah’s military correspondence sheds light on composition of biblical texts (2016) (58)
- On multivariate approximation by integer translates of a basis function (1992) (55)
- General Order Padè-type Rational Approximants Defined from Double Power Series (1976) (46)
- On quasi-interpolation by radial basis functions with scattered centres (1995) (43)
- Using Laurent polynomial representation for the analysis of non‐uniform binary subdivision schemes (1999) (43)
- Laplacian Framework for Interactive Mesh Editing (2005) (40)
- Introduction to shift-invariant spaces. Linear independence (2001) (39)
- Contour blending using warp-guided distance field interpolation (1996) (39)
- Iterative Solution of Systems Originating from Integral Equations and Surface Interpolation (1983) (38)
- Error bounds and optimal neighborhoods for MLS approximation (2006) (38)
- Analysis of quasi-uniform subdivision (2003) (36)
- The Bergman Kernel Method for the Numerical Conformal Mapping of Simply Connected Domains (1978) (36)
- Stationary and non-stationary binary subdivision schemes (1992) (29)
- Stable integration rules with scattered integration points (1999) (29)
- Analysis of Univariate Nonstationary Subdivision Schemes with Application to Gaussian-Based Interpolatory Schemes (2007) (29)
- Embedding of Delay Equations into an Infinite-Dimensional ODE System (1995) (28)
- Approximating piecewise-smooth functions (2010) (28)
- Manifold Approximation by Moving Least-Squares Projection (MMLS) (2016) (25)
- On the convergence rates of subdivision algorithms for box spline surfaces (1985) (24)
- Acta Numerica 2002: Subdivision schemes in geometric modelling (2002) (24)
- Smooth Multiwavelet Duals of Alpert Bases by Moment-Interpolating Refinement (2000) (24)
- Regularity of generalized Daubechies wavelets reproducing exponential polynomials (2012) (23)
- Subdivision schemes and attractors (2005) (23)
- Asymptotic expansion and quadrature of composite highly oscillatory integrals (2010) (22)
- Prediction Properties of the t-Transformation (1983) (20)
- Rational Approximations from the d-Transformation (1982) (19)
- Shape Deformation via Interior RBF (2014) (19)
- The subdivision experience (1994) (19)
- Cage-free local deformations using green coordinates (2010) (19)
- Hermite type moving-least-squares approximations (2006) (18)
- Non-stationary versions of fixed-point theory, with applications to fractals and subdivision (2019) (18)
- Attractors of trees of maps and of sequences of maps between spaces with applications to subdivision (2019) (17)
- C2 subdivision over triangulations with one extraordinary point (2006) (17)
- Approximation of Functions over Manifolds: A Moving Least-Squares Approach (2017) (16)
- Face-value subdivision schemes on triangulations by repeated averaging (2003) (16)
- Derivation and Analysis of Green Coordinates (2010) (13)
- Boundary correction for piecewise linear interpolation defined over data-dependent triangulations (1992) (13)
- Numerical inversion of the Laplace transform by accelerating the convergence of Bromwick's integral☆ (1975) (13)
- Multispectral imaging reveals biblical-period inscription unnoticed for half a century (2017) (12)
- Piecewise Uniform Subdivision Schemes (1991) (12)
- On accelerating the convergence of infinite double series and integrals (1980) (12)
- A New Method for the Analysis of Univariate Nonuniform Subdivision Schemes (2014) (11)
- High order approximation to non-smooth multivariate functions (2016) (11)
- Computer aided restoration of handwritten character strokes (2016) (10)
- Smooth Boundary Surfaces from Binary 3D Datasets (2000) (9)
- A boundary collocation method for the solution of a flow problem in a complex three-dimensional porous medium (1986) (9)
- Between moving least-squares and moving least-$$\ell _1$$ℓ1 (2015) (9)
- Construction of surface spline interpolants of scattered data over finite domains (1982) (8)
- Normals of the butterfly subdivision scheme surfaces and their applications (1999) (8)
- Uniform subdivision algorithms for curves and surfaces (1988) (8)
- Piecewise L-splines of order 4: Interpolation and L2 error bounds for splines in tension (2009) (7)
- On the use of conformal transformations for the numerical solution of harmonic boundary value problems (1977) (7)
- Manifolds' Projective Approximation Using The Moving Least-Squares (MMLS) (2016) (7)
- Matrix Subdivision Schemes (1995) (7)
- A two-stage approximation strategy for piecewise smooth functions in two and three dimensions (2021) (6)
- Convexity preserving interpolation by algebraic curves and surfaces (1995) (5)
- Quasi-interpolation and outliers removal (2018) (4)
- Subdivision schemes and multi-resolution modelling for automated music synthesis and analysis (2012) (4)
- Writer Characterization and Identification of Short Modern and Historical Documents: Reconsidering Paleographic Tables (2019) (4)
- Computerized Paleographic Investigation of Hebrew Iron Age Ostraca (2015) (4)
- Regularity Conditions for a Class of Geometrically Continuous Curves and Surfaces (1991) (3)
- Convexity-preserving Interpolation by Dual Subdivisions Schemes (2000) (3)
- Corrected subdivision approximation of piecewise smooth functions (2020) (3)
- Corrected Collocation Approximations for the Harmonic Dirichlet Problem (1980) (3)
- Analysis of an Integration Method for Rapidly Oscillating Integrands. (1984) (3)
- Manifold Reconstruction and Denoising from Scattered Data in High Dimension via a Generalization of L1-Median (2020) (3)
- Reconstruction of piecewise-smooth multivariate functions from Fourier data (2020) (3)
- Conditions for regular $B$-spline curves and surfaces (1992) (3)
- Subdivision models for varying-resolution and generalized perturbations (2011) (3)
- On the choice of β in the u - transformation for convergence acceleration (2015) (2)
- Accelerating infinite products (1999) (2)
- Explicit multivariate approximations from cell-average data (2021) (2)
- Two algorithms for periodic extension on uniform grids (2020) (2)
- The d2-transformation for infinite double series and the D2-transformation for infinite double integrals (1998) (2)
- Quasi-interpolation for near-boundary approximations (2019) (2)
- A ‘subdivision regression’ model for data analysis (2014) (2)
- High order smoothness of non-linear Lane-Riesenfeld algorithms in the functional setting (2019) (2)
- Extrapolation Methods for Infinite Multiple Series and Integrals (2001) (2)
- A class of C2 quasi-interpolating splines free of Gibbs phenomenon (2022) (2)
- Approximation of Functions on Manifolds in High Dimension from Noisy Scattered Data (2020) (1)
- High Order Reconstruction from Cross-Sections (2014) (1)
- Stability and Rank Properties of Matrix Subdivision Schemes Albert (1996) (1)
- Meshfree Extrapolation with Application to Enhanced Near-Boundary Approximation with Local Lagrange Kernels (2021) (1)
- Pitch-and-rhythm interrelationships and musical patterns: Analysis and modelling by subdivision schemes (2015) (1)
- Statistical Inference in Archaeology : Are We Confident ? (1)
- Normals of the butter y subdivision scheme surfaces and their applications (1999) (1)
- Near-best approximations to some problems in applied mathematics (1980) (1)
- The D 2 -transformation for Innnite Double Series and the D 2 -transformation for Innnite Double Integrals (0)
- A new method for the analysis of univariate non-uniform subdivision schemes (2014) (0)
- Face value subdivision schemes on triangulations (2002) (0)
- Multivariate Approximation and Applications: Preface (2001) (0)
- Corrected approximation strategy for piecewise smooth bivariate functions (2020) (0)
- A new B-spline type approximation method for non-smooth functions (2023) (0)
- SUBDIVISION SCHEMES FOR NETS OF CURVES AND THEIR ANALYSIS BY PROXIMITY (2009) (0)
- Manifold Repairing, Reconstruction and Denoising from Scattered Data in High-Dimension (2021) (0)
- AN AUTOREGRESSIVE MODEL WITH VARYING COEFFICIENTS WITH APPLICATION TO PREDICTION (1984) (0)
- Adding flexibility to piecewise quadratic curves and surfaces (1993) (0)
- Subdivision for C 1 Surface Interpolation (0)
- A New Method for the Analysis of Univariate Nonuniform Subdivision Schemes (2014) (0)
- Basis Functions for Scattered Data Quasi-Interpolation (2014) (0)
- Attractors of sequences of function systems and their relation to non-stationary subdivision (2016) (0)
- On the density distribution in a self-gravitating liquid sphere of constant compressibility (1975) (0)
- Chapter 2 - Behavior Preserving Extension of Univariate and Bivariate Functions (2014) (0)
- PREDICTION PROPERTIES OF THE r-TRANSFORMATION* (2007) (0)
- Interpolation of Set-Valued Functions (2022) (0)
- Global and explicit approximation of piecewise-smooth two-dimensional functions from cell-average data (2022) (0)
- 2003 Index IEEE Transactions on Visualization and Computer Graphics Vol. 9 (2003) (0)
- Local Interpolation Schemes - From Curves to Surfaces (1993) (0)
- Global and explicit approximation of piecewise smooth 2D functions from cell-average data (2022) (0)
- The consideration of virial corrections in the diffusion equations (2015) (0)
- Near-best approximations to the solution of Fredholm integral equation of the second kind (1982) (0)
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