Gerald E. Farin
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Gerald E. Farin's AcademicInfluence.com Rankings
Gerald E. Farincomputer-science Degrees
Computer Science
#4077
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#4293
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Computer Graphics
#85
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#88
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Gerald E. Farinmathematics Degrees
Mathematics
#5370
World Rank
#7560
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Measure Theory
#708
World Rank
#955
Historical Rank
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Computer Science Mathematics
Gerald E. Farin's Degrees
- PhD Mathematics University of Utah
- Masters Mathematics University of Utah
- Bachelors Mathematics University of Utah
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Why Is Gerald E. Farin Influential?
(Suggest an Edit or Addition)Gerald E. Farin'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
- Curves and surfaces for computer aided geometric design (1990) (3541)
- Curves and Surfaces for Cagd: A Practical Guide (2001) (1623)
- Curves and surfaces for computer-aided geometric design - a practical guide, 4th Edition (1997) (1143)
- A survey of curve and surface methods in CAGD (1984) (857)
- Handbook of Computer Aided Geometric Design (2002) (775)
- Triangular Bernstein-Bézier patches (1986) (602)
- Curves and surfaces for cagd (1992) (479)
- Surface/surface intersection (1987) (207)
- NURBS: From Projective Geometry to Practical Use (1999) (194)
- Geometric modeling : algorithms and new trends (1987) (188)
- Algorithms for rational Bézier curves (1983) (166)
- Curvature and the fairness of curves and surfaces (1989) (160)
- Discrete Coons patches (1999) (157)
- Geometric Modelling (1998) (156)
- Surfaces over Dirichlet tessellations (1990) (154)
- Fairing cubic B-spline curves (1987) (152)
- Automatic fairing algorithm for B-spline curves (1990) (149)
- Image registration using hierarchical B-splines (2004) (147)
- Developable rational Bézier and B-spline surfaces (1995) (142)
- NURB curves and surfaces: from projective geometry to practical use (1995) (141)
- NURBS for Curve and Surface Design (1991) (137)
- Class A Bézier curves (2006) (117)
- From conics to NURBS: A tutorial and survey (1992) (113)
- A construction for visualC1 continuity of polynomial surface patches (1982) (110)
- The essentials of CAGD (2000) (107)
- A History of Curves and Surfaces in CAGD (2002) (105)
- Ann-dimensional Clough-Tocher interpolant (1987) (92)
- SMOOTH INTERPOLATION TO SCATTERED 3D DATA. (1983) (91)
- Crest lines for surface segmentation and flattening (2004) (88)
- Curvature continuity and offsets for piecewise conics (1989) (83)
- 3D face authentication and recognition based on bilateral symmetry analysis (2005) (81)
- Visually C2 cubic splines (1982) (80)
- A modified Clough-Tocher interpolant (1985) (72)
- Mathematics and Visualization (2014) (69)
- Bézier polynomials over triangles and the construction of piecewise Cr polynomials (1980) (61)
- Improved Curvature Estimation for Watershed Segmentation of 3-Dimensional Meshes (2001) (60)
- C1 quintic interpolation over triangles: Two explicit representations (1981) (58)
- Adaptive Subdivision Schemes for Triangular Meshes (2003) (56)
- Rational curves and surfaces (1989) (53)
- The octant of a sphere as a non-degenerate triangular Bézier patch (1987) (53)
- NURB curves and surfaces (1994) (51)
- Hierarchical and Geometrical Methods in Scientific Visualization (2003) (44)
- A construction for visual C1 continuity of polynomial surface patches (1982) (44)
- Using Geometric Modeling for Archiving and Searching 3D Archaeological Vessels (2001) (43)
- Advances in geometric modeling and feature extraction on pots (2001) (42)
- Geometric Hermite interpolation with circular precision (2008) (41)
- Practical linear algebra - a geometry toolbox (2004) (37)
- Twists, curvatures and surface interrogation (1988) (35)
- Thin structure segmentation and visualization in three-dimensional biomedical images: a shape-based approach (2006) (32)
- The geometry toolbox - for graphics and modeling (1998) (32)
- Trends in curve and surface design (1989) (32)
- Dinus: Double insertion, nonuniform, stationary subdivision surfaces (2010) (30)
- Designing C1 surfaces consisting of triangular cubic patches (1982) (29)
- On Approximating Contours of the Piecewise Trilinear Interpolant Using Triangular Rational-Quadratic Bézier Patches (1997) (29)
- Constant-Radius Blending of Parametric Surfaces (1993) (28)
- Approximation of logarithmic spirals (1997) (27)
- Natural neighbor extrapolation using ghost points (2009) (25)
- Crest lines extraction from 3D triangulated meshes (2000) (25)
- Rational quadratic circles are parametrized by chord length (2006) (24)
- Volumetric Segmentation Using Weibull E-SD Fields (2003) (23)
- The Curvature of Characteristic Curves on Surfaces (1997) (23)
- Nurbs for Curve & Surface Design: From Projective Geometry to Practical Use (1999) (23)
- Volume visualization of multicolor laser confocal microscope data (2001) (22)
- PNG1 triangles for tangent plane continuous surfaces on the GPU (2008) (21)
- Computer-Aided Geometric Design (1998) (20)
- Improving the accuracy of volumetric segmentation using pre-processing boundary detection and image reconstruction (2004) (20)
- Some remarks on V2-splines (1985) (19)
- Tighter convex hulls for rational Bézier curves (1993) (18)
- The Adaptive Delaunay Tessellation: a neighborhood covering meshing technique (2008) (17)
- Shape Feature Extraction (2003) (16)
- A Transfinite Form of Sibson's Interpolant (1999) (15)
- Deformation with hierarchical B-splines (2001) (15)
- 4. Degree Reduction Fairing of Cubic B-Spline Curves (1992) (14)
- A local twist estimator (1992) (13)
- The eccentricity of conic sections formulated as rational Bézier quadratics (2010) (13)
- Contouring a bivariate quadratic polynomial over a triangle (1990) (13)
- A geometric interpretation of the diagonal of a tensor-product Bézier volume (1999) (13)
- 8 – B-Spline Curves (2002) (13)
- Geometric curve approximation (1997) (12)
- Link between Be´zier and lagrange curve and surface schemes (1986) (12)
- Degree Reduction of B-Spline Curves (1996) (11)
- Linear precision of rational Bézier curves (1995) (11)
- The Bernstein Form of a Bézier Curve (1993) (11)
- Curvature combs and curvature plots (2016) (10)
- Improved inter-modality image registration using normalized mutual information with coarse-binned histograms (2009) (10)
- High-Quality Rendering of Quartic Spline Surfaces on the GPU (2008) (10)
- The Product of Two B-Spline Functions (2011) (9)
- On the approximation order of tangent estimators (2008) (9)
- Shape Measures for Triangles (2012) (9)
- NURBS - from projective geometry to practical use, 2nd Edition (1999) (9)
- Piecewise triangular C1 surface strips (1986) (8)
- Lossy 3D Mesh Compression using Loop Scheme (2003) (8)
- Current Trends in Geometric Modeling and Selected Computational Applications (1997) (8)
- Triangular Berstein-bezier Patches, a Survey and New Results (1985) (8)
- Agnostic G1 Gregory surfaces (2012) (7)
- Reverse Engineering Using a Subdivision Surface Scheme (2003) (7)
- Commutativity of Coons and Tensor Product Operators (1992) (7)
- Mathematical principles for scientific computing and visualization (2008) (7)
- A Parametric Triangular Patch Based on Generalized Conics (1991) (7)
- Determination of end conditions for NURB surface interpolation (1998) (7)
- Curves with quadric boundary precision (1994) (7)
- Automated 3D Face authentication & recognition (2007) (6)
- The shape of surfaces (1988) (6)
- Piecewise Cubic Interpolation (1993) (6)
- Topological Methods in Data Analysis and Visualization V (2020) (6)
- An iterative Clough-Tocher interpolant (1992) (6)
- Curve and Surface Constructions (2002) (5)
- A Subdivision Algorithm for Generating Rational Curves (2001) (5)
- The de Casteljau Algorithm (1993) (5)
- SOME ASPECTS OF CAR BODY DESIGN AT DAIMLER-BENZ. (1983) (5)
- Curve Shapes : Comparison and Alignment (2004) (4)
- Evaluation of Some Methods (1993) (4)
- Dimensions of spline spaces over unconstricted triangulations (2006) (4)
- P. Bézier: How a Simple System Was Born (1993) (4)
- Discrete Harmonic Functions from Local Coordinates (2007) (3)
- Practical Linear Algebra - A Geometry Toolbox, 3rd Edition (2013) (3)
- Reverse Engineering Using Loop Subdivision (2004) (3)
- Crest lines and their applications with emphasis on anatomical surfaces (2003) (3)
- The singular cases for -spline interpolation (1990) (3)
- 10. An SSI Bibliography (1992) (3)
- Case Study: Cellar Scaffold Extraction Using Crest Point for Volume Rendering (2003) (3)
- Line and net pattern segmentation using shape modeling (2003) (3)
- Chapter 10 – B-splines (1993) (2)
- Shape modeling for 3D archaeological vessels (2004) (2)
- Segmenting Linear Parts using Layered Region Growing (2003) (2)
- Chapter 4 State of 3D Face Biometrics for Homeland Security Applications (2007) (2)
- Fairing Curves Curvature and the Fairness of Curves and Surfaces (2001) (2)
- Improved geometric constraints on deformable surface model for volumetric segmentation (2004) (2)
- Rational B-splines (1991) (2)
- Reverse Engineering Trimmed NURB Surfaces From Laser Scanned Data (1998) (2)
- Chapter 4: A Local Twist Estimator (1992) (2)
- Splines over iterated Voronoi diagrams Draft (2003) (2)
- Agnostic G 1 Gregory Surfaces (2012) (2)
- 11 – Geometric Continuity (2002) (1)
- Chapter 14 – Conic Sections (1993) (1)
- PRACTICAL LINEAR ALGEBRA (2019) (1)
- 14 – Tensor Product Patches (2002) (1)
- Geometry of a Spatial Form. Analysis, Synthesis, Concept Formulation and Space Vision for CAD (Peter C. Gasson) (1985) (1)
- 18 – Practical Aspects of Bézier Triangles (2002) (1)
- 9 – Constructing Spline Curves (2002) (1)
- Loop Progressive Geometry Compression for Triangle Meshes (2004) (1)
- Special Issue on Class A Surfaces (2004) (1)
- Smooth rational cubic spline interpolation (1998) (1)
- Call for PapersSpecial issue on class A surfaces (2004) (1)
- Chapter 18 – Bézier Triangles (1993) (1)
- State of 3 D Face Biometrics for Homeland Security Applications (2008) (1)
- Cubic Spline Interpolation (1993) (1)
- 3 – Linear Interpolation (2002) (1)
- 7 – Polynomial Curve Constructions (2002) (1)
- Statistical 3 D Segmentation With Greedy Connected Component Labelling Refinement (2001) (1)
- Eigen Things Revisited (2021) (0)
- 08221 Summary - Geometric Modeling (2008) (0)
- FCST 2010 : Proceedings of the IEEE Frontier of Computer Science and Technology 2010 international conference (2010) (0)
- Chapter 25 – Quick Reference of Curve and Surface Terms (1993) (0)
- Spline Curves in Bézier Form (1993) (0)
- 24 – Evaluation of Some Methods (2002) (0)
- Geometric Continuity II (1993) (0)
- Splinekurven in Bézierform (1994) (0)
- 22 – Coons Patches (2002) (0)
- Alternative System Solvers (2021) (0)
- 12 – Conic Sections (2002) (0)
- 05221 Report of the Dagstuhl seminar on - Geometric Modelling (2005) (0)
- Geraden in 2D (2003) (0)
- Putting Lines Together: Polylines and Polygons (2021) (0)
- Theoretical foundations of computer graphics and CAD: R Earnshaw (ed.) Springer, Berlin, FRG (1988) 1244 pp DM 278 (1989) (0)
- Affine Maps in 3D (2021) (0)
- VIII. Surface Design Foundations (1984) (0)
- 19 – W. Boehm: Differential Geometry II (2002) (0)
- NURBS: From Projective Geometry to Practical Use.: From Projective Geometry to Practical Use. (2000) (0)
- Geometric Modelling for Numerically Controlled Machining (K. Marciniak) (1993) (0)
- Lineare Abbildungen in 3D (2003) (0)
- Solving the inverse loop subdivision surface problem and its practical applications (2003) (0)
- Gauss for Linear Systems (2021) (0)
- Volume Segmentation Using Weibull ESD Fields (2001) (0)
- The Singular Value Decomposition (2021) (0)
- Geometric Modelling, Dagstuhl, Germany, 1993 (1993) (0)
- Editorial: Special issue on geometric modeling (Dagstuhl 2008) (2009) (0)
- Coons Patches: Additional Material (1993) (0)
- Lineare Systeme der Dimension 2×2 (2003) (0)
- Editorial: Geometric Modelling (2004) (0)
- A CAD Tribute to Gerald Farin (2016) (0)
- Here and There: Points and Vectors in 2D (2021) (0)
- Background: Numerical Linear Algebra (2008) (0)
- Lining Up: 2D Lines (2021) (0)
- The singular cases interpolation for y-spline (2001) (0)
- Geometry in design: the Be´zier method (1988) (0)
- 10 – W. Boehm: Differential Geometry I (2002) (0)
- Planar rational quadratics and cubics : parametrization and shape control (2008) (0)
- Changing Shapes: Linear Maps in 2D (2021) (0)
- General Linear Spaces (2021) (0)
- Chapter 6 – Polynomial Interpolation (1993) (0)
- APPLICATION OF 3 D MODELING IN SHIP RECONSTRUCTION AND ANALYSIS : TOOLS AND TECHNIQUES (2004) (0)
- 16 – Composite Surfaces (2002) (0)
- Rational Bézier and B-spline Curves (1993) (0)
- Geometric Modelling (Dagstuhl Seminar 02201) (2021) (0)
- Lineare Abbildungen in 2D (2003) (0)
- Application Briefs (1985) (0)
- Triangle Mesh Compression using B-Spline Curves (2003) (0)
- Chapter 13 – Geometric Continuity II (1993) (0)
- Tensor Product Bézier Surfaces (1993) (0)
- ABC Topology-Based Methods in Visualization II (2013) (0)
- Editorial: Special issue on Geometric Modeling (Dagstuhl 2005) (2007) (0)
- Interrogation and Smoothing (1993) (0)
- 21 – Surfaces with Arbitrary Topology (2002) (0)
- Linear Maps in 3D (2021) (0)
- Moving Things Around: Affine Maps in 2D (2021) (0)
- Rationale Bézier- und B-Spline-Kurven (1994) (0)
- interpolation for y-spline (1990) (0)
- W. Boehm: Differentialgeometrie II (1994) (0)
- 15 – Constructing Polynomial Patches (2002) (0)
- 2 × 2 Linear Systems (2021) (0)
- Projective blossoms and derivatives (1994) (0)
- Chapter 20 – Coons Patches (1993) (0)
- 08221 Abstracts Collection - Geometric Modeling (2008) (0)
- NURBS and Grid Generation (1995) (0)
- Fifth International Conference on Frontier of Computer Science and Technology, FCST 2010, Changchun, Jilin Province, China, August 18-22, 2010 (2010) (0)
- Interactions in 3D (2021) (0)
- Chapter 22 – W. Boehm: Differential Geometry II (1993) (0)
- 17 – Bézier Triangles (2002) (0)
- Geometric Continuity for Surfaces (1993) (0)
- Computer Aided Geometric Design: Editorial (2002) (0)
- Chapter 2 – Introductory Material (1993) (0)
- Surface Design Foundations (1984) (0)
- Composite Surfaces and Spline Interpolation (1993) (0)
- Bézier Curve Topics (1993) (0)
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What Schools Are Affiliated With Gerald E. Farin?
Gerald E. Farin is affiliated with the following schools:
