1

Understanding quaternions

Ron Goldman
Journal:
Graphical Models
Année:
2011
Langue:
english
Fichier:
PDF, 854 KB
english, 2011
2

Curvature formulas for implicit curves and surfaces

Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
2005
Langue:
english
Fichier:
PDF, 187 KB
english, 2005
3

A subdivision scheme for Poisson curves and surfaces

Géraldine Morin, Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
2000
Langue:
english
Fichier:
PDF, 378 KB
english, 2000
4

R(4, 4) As a Computational Framework for 3-Dimensional Computer Graphics

Goldman, Ron, Mann, Stephen
Journal:
Advances in Applied Clifford Algebras
Année:
2015
Langue:
english
Fichier:
PDF, 532 KB
english, 2015
5

After the revolution: Geometric algebra for Computer Scientists in the twenty-first century

Ron Goldman
Journal:
Computer-Aided Design
Année:
2008
Langue:
english
Fichier:
PDF, 187 KB
english, 2008
8

On the algebraic and geometric foundations of computer graphics

Goldman, Ron
Journal:
ACM Transactions on Graphics
Année:
2002
Langue:
english
Fichier:
PDF, 726 KB
english, 2002
9

Generating Functions for the $q$-Bernstein Bases

Goldman, Ron, Simeonov, Plamen, Simsek, Yilmaz
Journal:
SIAM Journal on Discrete Mathematics
Année:
2014
Langue:
english
Fichier:
PDF, 283 KB
english, 2014
10

Algorithms for computing strong μ -bases for rational tensor product surfaces

Shen, Li-Yong, Goldman, Ron
Journal:
Computer Aided Geometric Design
Année:
2017
Langue:
english
Fichier:
PDF, 883 KB
english, 2017
11

Modeling 3D Geometry in the Clifford Algebra R(4, 4)

Du, Juan, Goldman, Ron, Mann, Stephen
Journal:
Advances in Applied Clifford Algebras
Année:
2017
Langue:
english
Fichier:
PDF, 660 KB
english, 2017
12

Implicitizing Rational Tensor Product Surfaces Using the Resultant of Three Moving Planes

Shen, Li-Yong, Goldman, Ron
Journal:
ACM Transactions on Graphics
Année:
2017
Langue:
english
Fichier:
PDF, 360 KB
english, 2017
13

Turtle geometry in computer graphics and computer-aided design

Ron Goldman, Scott Schaefer, Tao Ju
Journal:
Computer-Aided Design
Année:
2004
Langue:
english
Fichier:
PDF, 267 KB
english, 2004
14

Multisided arrays of control points for multisided Bézier patches

Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
2004
Langue:
english
Fichier:
PDF, 572 KB
english, 2004
15

Division algorithms for Bernstein polynomials

Laurent Busé, Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
2008
Langue:
english
Fichier:
PDF, 176 KB
english, 2008
16

μ-bases for polynomial systems in one variable

Ning Song, Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
2009
Langue:
english
Fichier:
PDF, 271 KB
english, 2009
17

Axial moving planes and singularities of rational space curves

Haohao Wang, Xiaohong Jia, Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
2009
Langue:
english
Fichier:
PDF, 296 KB
english, 2009
18

μ-Bases and singularities of rational planar curves

Xiaohong Jia, Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
2009
Langue:
english
Fichier:
PDF, 423 KB
english, 2009
19

Theories of contact specified by connection matrices

Ayman W. Habib, Ron N. Goldman
Journal:
Computer Aided Geometric Design
Année:
1996
Langue:
english
Fichier:
PDF, 1.13 MB
english, 1996
20

The rational Bernstein bases and the multirational blossoms

Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
1999
Langue:
english
Fichier:
PDF, 363 KB
english, 1999
21

Blossoming with cancellation

Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
1999
Langue:
english
Fichier:
PDF, 156 KB
english, 1999
22

Change of basis algorithms for surfaces in CAGD

Suresh Lodha, Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
1995
Langue:
english
Fichier:
PDF, 1.16 MB
english, 1995
23

Implicitizing rational surfaces of revolution using μ-bases

Xiaoran Shi, Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
2012
Langue:
english
Fichier:
PDF, 244 KB
english, 2012
27

μ-Bases for complex rational curves

Wang, Xuhui, Goldman, Ron
Journal:
Computer Aided Geometric Design
Année:
2013
Langue:
english
Fichier:
PDF, 312 KB
english, 2013
28

Modeling perspective projections in 3-dimensions by rotations in 4-dimensions

Goldman, Ron
Journal:
Graphical Models
Année:
2013
Langue:
english
Fichier:
PDF, 410 KB
english, 2013
30

Plan aggregation for strong cyclic planning in nondeterministic domains

Alford, Ron, Kuter, Ugur, Nau, Dana, Goldman, Robert P.
Journal:
Artificial Intelligence
Année:
2014
Langue:
english
Fichier:
PDF, 842 KB
english, 2014
31

BEZIER AND B-SPLINE CURVES WITH KNOTS IN THE COMPLEX PLANE

TSIANOS, KONSTANTINOS I., GOLDMAN, RON
Journal:
Fractals
Année:
2011
Langue:
english
Fichier:
PDF, 806 KB
english, 2011
32

Premotor and nonmotor features of Parkinsonʼs disease

Goldman, Jennifer G., Postuma, Ron
Journal:
Current Opinion in Neurology
Année:
2014
Langue:
english
Fichier:
PDF, 261 KB
english, 2014
33

A unified approach to evaluation algorithms for multivariate polynomials

Lodha, Suresh K., Goldman, Ron
Journal:
Mathematics of Computation
Année:
1997
Langue:
english
Fichier:
PDF, 501 KB
english, 1997
34

Complex μ-bases for real quadric surfaces

Goldman, Ron, Sederberg, Thomas W., Wang, Xuhui
Journal:
Computer Aided Geometric Design
Année:
2015
Langue:
english
Fichier:
PDF, 293 KB
english, 2015
36

Explicit μ-bases for conic sections and planar rational cubic curves

Wang, Xuhui, Goldman, Ron, Sederberg, Thomas W.
Journal:
Computer Aided Geometric Design
Année:
2016
Langue:
english
Fichier:
PDF, 351 KB
english, 2016
37

Implicitizing ruled translational surfaces

Wang, Haohao, Goldman, Ron
Journal:
Computer Aided Geometric Design
Année:
2017
Langue:
english
Fichier:
PDF, 786 KB
english, 2017
38

Using Dual Quaternion to Study Translational Surfaces

Wang, Haohao, Goldman, Ron
Journal:
Mathematics in Computer Science
Année:
2018
Langue:
english
Fichier:
PDF, 383 KB
english, 2018
39

Applications of the Shorgin Identity to Bernstein Type Operators

Goldman, Ron, Xu, Xiao-Wei, Zeng, Xiao-Ming
Journal:
Results in Mathematics
Année:
2018
Langue:
english
Fichier:
PDF, 645 KB
english, 2018
40

Combining complementary methods for implicitizing rational tensor product surfaces

Shen, Li-Yong, Goldman, Ron
Journal:
Computer-Aided Design
Année:
2018
Langue:
english
Fichier:
PDF, 754 KB
english, 2018
41

Rational curves over generalized complex numbers

Du, Juan, Goldman, Ron, Wang, Xuhui
Journal:
Journal of Symbolic Computation
Année:
2018
Langue:
english
Fichier:
PDF, 1.21 MB
english, 2018
42

Pyramid Algorithms || Bezier Approximation and Pascal's Triangle

Goldman, Ron
Année:
2003
Langue:
english
Fichier:
PDF, 5.28 MB
english, 2003
46

Implicitizing Rational Curves by the Method of Moving Algebraic Curves

TOM SEDERBERG, RON GOLDMAN, HANG DU
Journal:
Journal of Symbolic Computation
Année:
1997
Langue:
english
Fichier:
PDF, 556 KB
english, 1997
47

Axial moving lines and singularities of rational planar curves

Ning Song, Falai Chen, Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
2007
Langue:
english
Fichier:
PDF, 348 KB
english, 2007
48

Set-theoretic generators of rational space curves

Xiaohong Jia, Haohao Wang, Ron Goldman
Journal:
Journal of Symbolic Computation
Année:
2010
Langue:
english
Fichier:
PDF, 1.21 MB
english, 2010
49

Trimming analytic functions using right sided Poisson subdivision

Géraldine Morin, Ron Goldman
Journal:
Computer-Aided Design
Année:
2001
Langue:
english
Fichier:
PDF, 312 KB
english, 2001
50

On the smooth convergence of subdivision and degree elevation for Bézier curves

Géraldine Morin, Ron Goldman
Journal:
Computer Aided Geometric Design
Année:
2001
Langue:
english
Fichier:
PDF, 99 KB
english, 2001