Thomas W. Sederberg
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Thomas W. Sederbergmathematics Degrees
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Computer Science Mathematics
Thomas W. Sederberg's Degrees
- PhD Computer Science University of Utah
- Masters Computer Science University of Utah
- Bachelors Mathematics Brigham Young University
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(Suggest an Edit or Addition)Thomas W. Sederberg'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
- Free-form deformation of solid geometric models (1986) (2988)
- Isogeometric analysis using T-splines (2010) (1007)
- T-splines and T-NURCCs (2003) (876)
- T-spline simplification and local refinement (2004) (524)
- Conversion of complex contour line definitions into polygonal element mosaics (1978) (408)
- A physically based approach to 2–D shape blending (1992) (401)
- Isogeometric boundary element analysis using unstructured T-splines (2013) (380)
- Local refinement of analysis-suitable T-splines (2012) (375)
- Implicit representation of parametric curves and surfaces (1984) (329)
- 2-D shape blending: an intrinsic solution to the vertex path problem (1993) (300)
- Ray tracing trimmed rational surface patches (1990) (263)
- Non-uniform recursive subdivision surfaces (1998) (245)
- On linear independence of T-spline blending functions (2012) (221)
- Implicitization using moving curves and surfaces (1995) (214)
- Loop detection in surface patch intersections (1988) (189)
- Piecewise algebraic surface patches (1985) (174)
- The moving line ideal basis of planar rational curves (1998) (155)
- Isogeometric finite element data structures based on Bézier extraction of T‐splines (2011) (155)
- Curve intersection using Bézier clipping (1990) (154)
- Watertight trimmed NURBS (2008) (151)
- Implicit and parametric curves and surfaces for computer aided geometric design (1983) (147)
- Comparison of three curve intersection algorithms (1986) (130)
- Approximation by interval Bezier curves (1992) (126)
- Improperly parametrized rational curves (1986) (118)
- Volumetric T-spline construction using Boolean operations (2014) (103)
- Faster Ray Tracing Using Adaptive Grids (1997) (100)
- Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves (1984) (99)
- Implicitizing Rational Curves by the Method of Moving Algebraic Curves (1997) (92)
- Techniques for cubic algebraic surfaces (1990) (81)
- Steiner Surface Patches (1985) (74)
- Planar piecewise algebraic curves (1984) (72)
- Image Reconstruction Using Data-Dependent Triangulation (2001) (70)
- The mu-basis of a rational ruled surface (2001) (67)
- Improved test for closed loops in surface intersections (1989) (66)
- A work minimization approach to image morphing (1998) (66)
- Algorithm for algebraic curve intersection (1989) (60)
- Curve implicitization using moving lines (1994) (56)
- Fat arcs: A bounding region with cubic convergence (1989) (55)
- Geometric hermite approximation of surface patch intersection curves (1991) (50)
- Ray tracing of Steiner patches (1984) (49)
- Scan line display of algebraic surfaces (1989) (48)
- Parametrization of cubic algebraic surfaces (1987) (47)
- Rational hodographs (1987) (45)
- Knot intervals and multi-degree splines (2003) (45)
- Algebraic Geometry for Computer-Aided Geometric Design (1986) (43)
- Hodographs and normals of rational curves and surfaces (1995) (42)
- Genus of the intersection curve of two rational surface patches (1988) (41)
- Least squares methods for solving differential equations using Bézier control points (2004) (40)
- Approximate Implicitization Using Monoid Curves and Surfaces (1999) (39)
- Nonnegative quadratic Bézier triangular patches (1994) (37)
- A Direct Approach to Computing the µ-basis of Planar Rational Curves (2001) (37)
- Partial derivatives of rational Bézier surfaces (1997) (36)
- Linear perturbation methods for topologically consistent representations of free-form surface intersections (2004) (36)
- Surfaces-techniques for cubic algebraic surfaces (1990) (35)
- Analysis of the offset to a parabola (1995) (34)
- Algebraic Methods for Computer Aided Geometric Design (2002) (31)
- Best linear common divisors for approximate degree reduction (1993) (31)
- Over and over Again (1892) (30)
- Pyramids That Bound Surface Patches (1996) (29)
- Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme (2007) (28)
- On the Convergence of Polynomial Approximation of Rational Functions (1997) (27)
- Implicitizing rational surfaces with base points using the method of moving surfaces (2003) (26)
- COMPUTER AIDED GEOMETRIC DESIGN (2012) (25)
- T-spline Simplication and Local Renement (2004) (23)
- A new implicit representation of a planar rational curve with high order singularity (2002) (23)
- Offsets of polynomial Be´zier curves: Hermite approximation with error bounds (1992) (23)
- Approximate parametrization of algebraic curves (1989) (20)
- Shape Blending of 2 { D Piecewise Curves (1995) (20)
- Degenerate parametric curves (1984) (20)
- On the minors of the implicitization Bézout matrix for a rational plane curve (2001) (19)
- Rational-Ruled Surfaces: Implicitization and Section Curves (1995) (17)
- S-splines: A simple surface solution for IGA and CAD (2019) (17)
- Topologically consistent trimmed surface approximations based on triangular patches (2004) (16)
- G1 non-uniform Catmull-Clark surfaces (2016) (16)
- Word Warping for Offline Handwriting Recognition (2011) (16)
- Isogeometric Analysis: Toward Unification of Computer Aided Design and Finite Element Analysis (2008) (15)
- Triangulation of Branching Contours Using Area Minimization (1998) (14)
- Estimating tessellation parameter intervals for rational curves and surfaces (2000) (13)
- Applications to computer aided geometric design (1998) (12)
- Birational quadrilateral maps (2015) (12)
- Gaussian and mean curvatures of rational Bézier patches (2003) (12)
- Offline signature verification and forgery detection using a 2-D geometric warping approach (2012) (12)
- Analytic approach to intersection of all piecewise parametric rational cubic curves (1987) (11)
- An Introduction to B-Spline Curves (2005) (9)
- Birational 2D Free-Form Deformation of degree 1 × n (2016) (7)
- Point and tangent computation of tensor product rational Bézier surfaces (1995) (6)
- Surface-surface intersection: loop destruction using bezier clipping and pyramidal bounds (1994) (6)
- Estimation of Three-Dimensional Object Orientation for Computer Vision Systems with Feedback (2007) (5)
- Curvature of singular Bézier curves and surfaces (2011) (5)
- Continuous approach to segmentation of handwritten text (2002) (4)
- Bounding interval rational Bezier curves with interval polynomial Bezier curves (2000) (4)
- A simple verification of the implicitization formulae for Bézier curves (1994) (3)
- The algebra and geometry of curve and surface inversion (2002) (3)
- ICES REPORT 13-19 July 2013 Volumetric T-spline Construction Using Boolean Operations (2013) (3)
- Some applications of resultants to problems in computational geometry (1985) (3)
- Volumetric T-spline construction using Boolean operations (2013) (3)
- Computer Graphics: Conversion of Contour Line Definitions Into Polygonal Element Mosaics (1977) (3)
- Surface Intersection Loop Destruction (1995) (2)
- Corrigendum to: 'Linear perturbation methods for topologically consistent representations of free-form surface intersections': Computer Aided Geometric Design 21 (2004) 303-319 (2004) (2)
- SIGGRAPH '91 Conference proceedings, 28 July - 2 August 1991, Las Vegas, Nevada (1991) (2)
- Approximation by Interval (1992) (2)
- A conjecture on tangent intersections of surface patches (2004) (2)
- Many-Author Offline Handwriting Recognition Using a Warping-Based Approach (2013) (1)
- On A Conjecture by Zheng (2006) (1)
- Gas flow visualization for combustion analysis (1993) (1)
- Rotated Explicit Curves (2008) (1)
- Complex μ-bases for real quadric surfaces (2015) (1)
- Over and Over Again: Sharkovskii's Theorem (1997) (1)
- 2 Linear B-Splines and Polygon Shape Blending (2000) (0)
- Over and Over Again: Colored Marbles (1997) (0)
- Over and Over Again: Hints and Solutions (1997) (0)
- Over and Over Again: Limits and Continuity (1997) (0)
- Over and Over Again: Approximation by Bernstein Polynomials (1997) (0)
- Over and Over Again: Moving Averages (1997) (0)
- Over and Over Again: Transformations and their Iteration (1997) (0)
- Over and Over Again: Approximation (1997) (0)
- Over and Over Again: Approximation of Surfaces (1997) (0)
- Over and Over Again: Properties of Bernstein Polynomials (1997) (0)
- Over and Over Again: Convexity of Patches (1997) (0)
- Over and Over Again: Matrix Manipulations (1997) (0)
- 2001-0501 Image reconstruction using data-dependent triangulation (2015) (0)
- An Inverse Eigenvalue Problem for Subdivision Surfaces (2017) (0)
- Over and Over Again: Sugar Rather Than Candy (1997) (0)
- Over and Over Again: Decreasing Sets of Positive Integers (1997) (0)
- Over and Over Again: Birth of an IMO Problem (1997) (0)
- Over and Over Again: Finding Roots by Iteration (1997) (0)
- Over and Over Again: Checkers on a Circle (1997) (0)
- Over and Over Again: Douglas-Neumann Theorem (1997) (0)
- E Best of Both Worlds Faster Ray Tracing Using Adaptive Grids New Image-generation Techniques (0)
- Over and Over Again: The Isoperimetric Problem (1997) (0)
- Over and Over Again: Bibliography (1997) (0)
- Over and Over Again: Morley's Theorem and Napoleon's Theorem (1997) (0)
- Over and Over Again: Convergent Orbits (1997) (0)
- Towards the m-basis of a rational surface (2001) (0)
- Over and Over Again: Properties of Triangular Patches (1997) (0)
- Over and Over Again: Formulas for Iterates (1997) (0)
- Over and Over Again: Convexity (1997) (0)
- Over and Over Again: Arithmetic and Geometric Means (1997) (0)
- Display of Complex Three Dimensional Finite Element Models. (1978) (0)
- Over and Over Again: Nested Triangles (1997) (0)
- Over and Over Again: Lagrange Interpolation (1997) (0)
- Over and Over Again: Variation Diminishing Matrices (1997) (0)
- Over and Over Again: Candy for School Children (1997) (0)
- Over and Over Again: Isoperimetric Quotient (1997) (0)
- Over and Over Again: Preface (1997) (0)
- Explicit μ-bases for conic sections and planar rational cubic curves (2016) (0)
- T-splines and T-NURCCs (2003) (0)
- Over and Over Again: Note to the Reader (1997) (0)
- Over and Over Again: Isoperimetric Inequality for Triangles (1997) (0)
- Over and Over Again: Chebyshev Polynomials (1997) (0)
- Over and Over Again: Cubic Interpolatory Splines (1997) (0)
- Over and Over Again: Bézier Curves (1997) (0)
- BYU ScholarsArchive BYU ScholarsArchive Watertight Trimmed NURBS Watertight Trimmed NURBS (2022) (0)
- Over and Over Again: Barycentric Coordinates (1997) (0)
- Over and Over Again: Complex Numbers in Geometry (1997) (0)
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