Ronald N. Goldman

Ron Goldman

	2012
86		Xiaohong Jia, Ron Goldman: Using Smith normal forms and μ-bases to compute all the singularities of rational planar curves. Computer Aided Geometric Design 29(6): 296-314 (2012)
85		Plamen Simeonov, Vasilis Zafiris, Ron Goldman: q-Blossoming: A new approach to algorithms and identities for q-Bernstein bases and q-Bézier curves. Journal of Approximation Theory 164(1): 77-104 (2012)
	2011
84		Vipul Gupta, Ron Goldman, Poornaprajna Udupi: A network architecture for the Web of Things. WoT 2011: 3
83		Ron Goldman: A Homogeneous Model for Three-Dimensional Computer Graphics Based on the Clifford Algebra for ℝ3. Guide to Geometric Algebra in Practice 2011: 329-352
82		Plamen Simeonov, Vasilis Zafiris, Ron Goldman: h-Blossoming: A new approach to algorithms and identities for h-Bernstein bases and h-Bézier curves. Computer Aided Geometric Design 28(9): 549-565 (2011)
81		Nira Dyn, Ron Goldman: Convergence and Smoothness of Nonlinear Lane-Riesenfeld Algorithms in the Functional Setting. Foundations of Computational Mathematics 11(1): 79-94 (2011)
80		Ron Goldman: Understanding quaternions. Graphical Models 73(2): 21-49 (2011)
	2010
79		Ron Goldman: Rethinking Quaternions Morgan & Claypool Publishers 2010
78		Xiaohong Jia, Ron Goldman: Using Smith Normal Forms and mu-Bases to Compute all the Singularities of Rational Planar Curves CoRR abs/1005.0085: (2010)
77		Xiaohong Jia, Haohao Wang, Ron Goldman: Set-theoretic generators of rational space curves. J. Symb. Comput. 45(4): 414-433 (2010)
	2009
76		Ning Song, Ron Goldman: mu-bases for polynomial systems in one variable. Computer Aided Geometric Design 26(2): 217-230 (2009)
75		Haohao Wang, Xiaohong Jia, Ron Goldman: Axial moving planes and singularities of rational space curves. Computer Aided Geometric Design 26(3): 300-316 (2009)
74		Xiaohong Jia, Ron Goldman: µ-Bases and singularities of rational planar curves. Computer Aided Geometric Design 26(9): 970-988 (2009)
	2008
73		Laurent Busé, Ron Goldman: Division algorithms for Bernstein polynomials. Computer Aided Geometric Design 25(9): 850-865 (2008)
72		Ron Goldman: After the revolution: Geometric algebra for Computer Scientists in the twenty-first century. Computer-Aided Design 40(5): 655-656 (2008)
	2007
71		Ning Song, Falai Chen, Ron Goldman: Axial moving lines and singularities of rational planar curves. Computer Aided Geometric Design 24(4): 200-209 (2007)
70		Stefanie Hahmann, Guido Brunnett, Gerald E. Farin, Ron Goldman: Editorial: Special issue on Geometric Modeling (Dagstuhl 2005). Computing 79(2-4): 99 (2007)
	2006
69		Richard P. Gabriel, Ron Goldman: Conscientious software. OOPSLA 2006: 433-450
68		Ming Zhang, Liqun Wang, Ronald N. Goldman: Bézier Subdivision for Inverse Molecular Kinematics. Int. J. Comput. Geometry Appl. 16(5-6): 513-532 (2006)
	2005
67		Ronald N. Goldman, Richard P. Gabriel: Innovation happens elsewhere - open source as business strategy. Elsevier 2005: I-XXIV, 1-402
66		Scott Schaefer, David Levin, Ron Goldman: Subdivision Schemes and Attractors. Symposium on Geometry Processing 2005: 171-180
65		Ming Zhang, R. Allen White, Liqun Wang, Ronald N. Goldman, Lydia E. Kavraki, Brendan Hassett: Improving conformational searches by geometric screening. Bioinformatics 21(5): 624-630 (2005)
64		Ron Goldman: Curvature formulas for implicit curves and surfaces. Computer Aided Geometric Design 22(7): 632-658 (2005)
	2004
63		Ronald N. Goldman: The Fractal Nature of Bezier Curves. GMP 2004: 3-11
62		Amit Khetan, Ning Song, Ron Goldman: Sylvester-resultants for bivariate polynomials with planar newton polygons. ISSAC 2004: 205-212
61		Ronald N. Goldman: Multisided arrays of control points for multisided Bezier patches. Computer Aided Geometric Design 21: 243-261 (2004)
60		Ron Goldman, Scott Schaefer, Tao Ju: Turtle geometry in computer graphics and computer-aided design. Computer-Aided Design 36(14): 1471-1482 (2004)
59		Tao Ju, Scott Schaefer, Ron Goldman: Recursive turtle programs and iterated affine transformations. Computers & Graphics 28(6): 991-1004 (2004)
58		Ronald N. Goldman, Wenping Wang: Using Invariants To Extract Geometric Characteristics Of Conic Sections From Rational Quadratic Parameterizations. Int. J. Comput. Geometry Appl. 14(3): 161-187 (2004)
	2003
57		Ron Goldman: Computer Graphics in its Fifth Decade: Ferment at the Foundations. Pacific Conference on Computer Graphics and Applications 2003: 4-21
56		Wenping Wang, Ronald N. Goldman, Changhe Tu: Enhancing Levin's method for computing quadric-surface intersections. Computer Aided Geometric Design 20(7): 401-422 (2003)
55		Ron Goldman: Deriving Linear Transformations in Three Dimensions. IEEE Computer Graphics and Applications 23(3): 66-71 (2003)
	2002
54		Ron Goldman: On the algebraic and geometric foundations of computer graphics. ACM Trans. Graph. 21(1): 52-86 (2002)
53		Ronald N. Goldman, Géraldine Morin: The affine invariant analytic blossom. Computer Aided Geometric Design 19(8): 621-623 (2002)
52		Wenping Wang, Barry Joe, Ronald N. Goldman: Computing quadric surface intersections based on an analysis of plane cubic curves. Graphical Models 64(6): 335-367 (2002)
51		Eng-Wee Chionh, Ming Zhang, Ronald N. Goldman: Fast Computation of the Bezout and Dixon Resultant Matrices. J. Symb. Comput. 33(1): 13-29 (2002)
	2001
50		Géraldine Morin, Ronald N. Goldman: On the smooth convergence of subdivision and degree elevation for Bézier curves. Computer Aided Geometric Design 18(7): 657-666 (2001)
49		Géraldine Morin, Ronald N. Goldman: Trimming analytic functions using right sided Poisson subdivision. Computer-Aided Design 33(11): 813-824 (2001)
48		Ron Goldman: Baseball Arithmetic and the Laws of Pseudoperspective. IEEE Computer Graphics and Applications 21(2): 70-78 (2001)
	2000
47		Ronald N. Goldman, Géraldine Morin: Poisson Approximation. GMP 2000: 141-149
46		Eng-Wee Chionh, Ming Zhang, Ronald N. Goldman: Implicitization by Dixon A-Resultants. GMP 2000: 310-318
45		Ming Zhang, Ronald N. Goldman: Rectangular corner cutting and Sylvester A-resultants. ISSAC 2000: 301-308
44		Géraldine Morin, Ronald N. Goldman: A subdivision scheme for Poisson curves and surfaces. Computer Aided Geometric Design 17(9): 813-833 (2000)
43		Ron Goldman: The Ambient Spaces of Computer Graphics and Geometric Modeling. IEEE Computer Graphics and Applications 20(2): 76-84 (2000)
42		David A. Cox, Ronald N. Goldman, Ming Zhang: On the Validity of Implicitization by Moving Quadrics for Rational Surfaces with No Base Points. J. Symb. Comput. 29(3): 419-440 (2000)
	1999
41		Ron Goldman: Blossoming and Divided Difference. Geometric Modelling 1999: 155-184
40		Ming Zhang, Eng-Wee Chionh, Ronald N. Goldman: On a relationship between the moving line and moving conic coefficient matrices. Computer Aided Geometric Design 16(6): 517-527 (1999)
39		Ron Goldman: Blossoming with cancellation. Computer Aided Geometric Design 16(7): 671-689 (1999)
38		Ron Goldman: The rational Bernstein bases and the multirational blossoms. Computer Aided Geometric Design 16(8): 701-738 (1999)
	1998
37		L. Yohanes Stefanus, Ronald N. Goldman: On the Linear Independence of the Bivariate Discrete Convolution Blending Functions. CATS 1998: 231-244
	1997
36		W. A. M. Othman, Ronald N. Goldman: The dual basis functions for the generalized Ball basis of odd degree. Computer Aided Geometric Design 14(6): 571-582 (1997)
35		Wenping Wang, Barry Joe, Ronald N. Goldman: Rational Quadratic Parameterizations of Quadrics. Int. J. Comput. Geometry Appl. 7(6): 599- (1997)
34		Thomas W. Sederberg, Ron Goldman, Hang Du: Implicitizing Rational Curves by the Method of Moving Algebraic Curves. J. Symb. Comput. 23(2/3): 153-175 (1997)
33		Suresh K. Lodha, Ron Goldman: A unified approach to evaluation algorithms for multivariate polynomials. Math. Comput. 66(220): 1521-1553 (1997)
	1996
32		Ayman W. Habib, Ronald N. Goldman: Theories of contact specified by connection matrices. Computer Aided Geometric Design 13(9): 905-929 (1996)
	1995
31		James R. Miller, Ronald N. Goldman: Geometric Algorithms for Detecting and Calculating All Conic Sections in the Intersection of Any 2 Natural Quadric Surfaces. CVGIP: Graphical Model and Image Processing 57(1): 55-66 (1995)
30		Brigitte Jordan, Ron Goldman, Patricia Sachs: Tools for the Workplace. Commun. ACM 38(9): 42 (1995)
29		Suresh K. Lodha, Ron Goldman: Change of basis algorithms for surfaces in CAGD. Computer Aided Geometric Design 12(8): 801-824 (1995)
	1994
28		Eng-Wee Chionh, Ronald N. Goldman: On the Existence and the Coefficients of the Implicit Equation of Rational Surfaces. CVGIP: Graphical Model and Image Processing 56(1): 19-24 (1994)
	1993
27		Phillip J. Barry, Ronald N. Goldman: Unimodal Properties of Generalized Ball Bases. Geometric Modelling 1993: 35-41
26		Tony DeRose, Ronald N. Goldman, Hans Hagen, Stephen Mann: Functional Composition Algorithms via Blossoming. ACM Trans. Graph. 12(2): 113-135 (1993)
25		Phillip J. Barry, Ronald N. Goldman, Charles A. Micchelli: Knot insertion algorithms for piecewise polynomial spaces determined by connection matrices. Adv. Comput. Math. 1(2): 139-171 (1993)
24		Ron Goldman, Joe D. Warren: An Extension of Chaiken's Algorithm to B-Spline Curves with Knots in Geometric Progression. CVGIP: Graphical Model and Image Processing 55(1): 58-62 (1993)
	1992
23		L. Yohanes Stefanus, Ronald N. Goldman: Blossoming Marsden's identity. Computer Aided Geometric Design 9(2): 73-84 (1992)
22		Eng-Wee Chionh, Ronald N. Goldman: Degree, multiplicity, and inversion formulas for rational surfaces using u-resultants. Computer Aided Geometric Design 9(2): 93-108 (1992)
21		Phillip J. Barry, John C. Beatty, Ronald N. Goldman: Unimodal properties of B-spline and Bernstein-basis functions. Computer-Aided Design 24(12): 627-636 (1992)
20		Eng-Wee Chionh, Ronald N. Goldman: Using multivariate resultants to find the implicit equation of a rational surface. The Visual Computer 8(3): 171-180 (1992)
	1991
19		Ronald N. Goldman, James R. Miller: Combining algebraic rigor with geometric robustness for the detection and calculation of conic sections in the intersection of two natural quadric surfaces. Symposium on Solid Modeling and Applications 1991: 221-231
18		Eng-Wee Chionh, Ronald N. Goldman, James R. Miller: Using Multivariate Resultants to Find the Intersection of Three Quadric Surfaces. ACM Trans. Graph. 10(4): 378-400 (1991)
17		Phillip J. Barry, Ronald N. Goldman: Interpolation and approximation of curves and surfaces using Pólya polynomials. CVGIP: Graphical Model and Image Processing 53(2): 137-148 (1991)
	1990
16		Ronald N. Goldman: Blossoming and knot insertion algorithms for B-spline curves. Computer Aided Geometric Design 7(1-4): 69-81 (1990)
15		Ronald N. Goldman: Geometric continuity. Computer-Aided Design 22(1): 68-69 (1990)
	1989
14		Ron Goldman, Richard P. Gabriel, Carol Sexton: Qlisp: An Interim Report. Workshop on Parallel Lisp 1989: 161-181
13		Ron Goldman, Richard P. Gabriel: Qlisp: Parallel Processing in Lisp. IEEE Software 6(4): 51-59 (1989)
	1988
12		Ron Goldman, Richard P. Gabriel: Preliminary Results with the Initial Implementation of Qlisp. LISP and Functional Programming 1988: 143-152
11		Ron Goldman, Richard P. Gabriel: Qlisp: Experience and New Directions. PPOPP/PPEALS 1988: 111-123
10		Phillip J. Barry, Ronald N. Goldman: A recursive evaluation algorithm for a class of Catmull-Rom splines. SIGGRAPH 1988: 199-204
9		Phillip J. Barry, Ronald N. Goldman: A recursive proof of a B-spline identity for degree elevation. Computer Aided Geometric Design 5(2): 173-175 (1988)
	1986
8		Ronald N. Goldman, Tony DeRose: Recursive subdivision without the convex hull property. Computer Aided Geometric Design 3(4): 247-265 (1986)
	1985
7		Ronald N. Goldman: Markov Chains and Computer Aided Geometric Design II - Examples and Subdivision Matrices. ACM Trans. Graph. 4(1): 12-40 (1985)
6		Ronald N. Goldman: Illicit Expressions in Vector Algebra. ACM Trans. Graph. 4(3): 223-243 (1985)
5		Ronald N. Goldman, Thomas W. Sederberg: Some applications of resultants to problems in computational geometry. The Visual Computer 1(2): 101-107 (1985)
	1984
4		Ronald N. Goldman: Markov Chains and Computer-Aided Geometric Design: Part I - Problems and Constraints. ACM Trans. Graph. 3(3): 204-222 (1984)
3		Ronald N. Goldman, David C. Heath: Linear subdivision is strictly a polynomial phenomenon. Computer Aided Geometric Design 1(3): 269-278 (1984)
2		Ronald N. Goldman, Thomas W. Sederberg, D. C. Anderson: Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves. Computer Aided Geometric Design 1(4): 327-356 (1984)
1		Thomas W. Sederberg, D. C. Anderson, Ronald N. Goldman: Implicit representation of parametric curves and surfaces. Computer Vision, Graphics, and Image Processing 28(1): 72-84 (1984)

Coauthor Index

1	D. C. Anderson	[1] [2]
2	Phillip J. Barry	[9] [10] [17] [21] [25] [27]
3	John C. Beatty	[21]
4	Guido Brunnett	[70]
5	Laurent Busé	[73]
6	Falai Chen	[71]
7	Eng-Wee Chionh	[18] [20] [22] [28] [40] [46] [51]
8	David A. Cox	[42]
9	Tony DeRose	[8] [26]
10	Hang Du	[34]
11	Nira Dyn	[81]
12	Gerald E. Farin	[70]
13	Richard P. Gabriel	[11] [12] [13] [14] [67] [69]
14	Vipul Gupta	[84]
15	Ayman W. Habib	[32]
16	Hans Hagen	[26]
17	Stefanie Hahmann	[70]
18	Brendan Hassett	[65]
19	David C. Heath	[3]
20	Xiaohong Jia	[74] [75] [77] [78] [86]
21	Barry Joe	[35] [52]
22	Brigitte Jordan	[30]
23	Tao Ju	[59] [60]
24	Lydia E. Kavraki	[65]
25	Amit Khetan	[62]
26	David Levin	[66]
27	Suresh K. Lodha	[29] [33]
28	Stephen Mann	[26]
29	Charles A. Micchelli	[25]
30	James R. Miller	[18] [19] [31]
31	Géraldine Morin	[44] [47] [49] [50] [53]
32	W. A. M. Othman	[36]
33	Patricia Sachs	[30]
34	Scott Schaefer	[59] [60] [66]
35	Thomas W. Sederberg	[1] [2] [5] [34]
36	Carol Sexton	[14]
37	Plamen Simeonov	[82] [85]
38	Ning Song	[62] [71] [76]
39	L. Yohanes Stefanus	[23] [37]
40	Changhe Tu	[56]
41	Poornaprajna Udupi	[84]
42	Haohao Wang	[75] [77]
43	Liqun Wang	[65] [68]
44	Wenping Wang	[35] [52] [56] [58]
45	Joe D. Warren	[24]
46	R. Allen White	[65]
47	Vasilis Zafiris	[82] [85]
48	Ming Zhang	[40] [42] [45] [46] [51] [65] [68]

Colors in the list of coauthors

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