-
1
-
-
0000325938
-
Geometric representation of the swept volume using Jacobian rank deficiency conditions
-
Abdel-Malek K., and Yeh H.J. Geometric representation of the swept volume using Jacobian rank deficiency conditions. Comput. Aided Design 29 (1997) 457-468
-
(1997)
Comput. Aided Design
, vol.29
, pp. 457-468
-
-
Abdel-Malek, K.1
Yeh, H.J.2
-
2
-
-
31244436999
-
Polygon decomposition for efficient construction of Minkowski sums
-
Agarwal P.K., Flato E., and Halperin D. Polygon decomposition for efficient construction of Minkowski sums. Comput. Geometry-Theory Appl. 21 (2002) 39-61
-
(2002)
Comput. Geometry-Theory Appl.
, vol.21
, pp. 39-61
-
-
Agarwal, P.K.1
Flato, E.2
Halperin, D.3
-
4
-
-
84971748944
-
Algebraic decomposition of regular curves
-
Arnborg S., and Feng H. Algebraic decomposition of regular curves. J. Symbol. Comput. 5 (1988) 131-140
-
(1988)
J. Symbol. Comput.
, vol.5
, pp. 131-140
-
-
Arnborg, S.1
Feng, H.2
-
5
-
-
0020776928
-
Topologically reliable display of algebraic curves
-
Arnon D.S. Topologically reliable display of algebraic curves. ACM Comput. Graphics 17 (1983) 219-227
-
(1983)
ACM Comput. Graphics
, vol.17
, pp. 219-227
-
-
Arnon, D.S.1
-
6
-
-
0021521367
-
Cylindrical algebraic decomposition I: The basic algorithm
-
Arnon D.S., Collins G.E., and McCallum S. Cylindrical algebraic decomposition I: The basic algorithm. SIAM J. Comput. 13 (1984) 865-877
-
(1984)
SIAM J. Comput.
, vol.13
, pp. 865-877
-
-
Arnon, D.S.1
Collins, G.E.2
McCallum, S.3
-
7
-
-
0021522643
-
Cylindrical algebraic decomposition II: An adjacency algorithm for the plane
-
Arnon D.S., Collins G.E., and McCallum S. Cylindrical algebraic decomposition II: An adjacency algorithm for the plane. SIAM J. Comput. 13 (1984) 878-889
-
(1984)
SIAM J. Comput.
, vol.13
, pp. 878-889
-
-
Arnon, D.S.1
Collins, G.E.2
McCallum, S.3
-
8
-
-
84971721358
-
A polynomial-time algorithm for the topological type of a real algebraic curve
-
Arnon D.S., and McCallum S. A polynomial-time algorithm for the topological type of a real algebraic curve. J. Symbol. Comput. 5 (1988) 213-236
-
(1988)
J. Symbol. Comput.
, vol.5
, pp. 213-236
-
-
Arnon, D.S.1
McCallum, S.2
-
10
-
-
0028405030
-
Analysis and modeling of deformed swept volumes
-
Blackmore D., Leu M.C., and Shih F. Analysis and modeling of deformed swept volumes. Comput. Aided Design 26 (1994) 315-326
-
(1994)
Comput. Aided Design
, vol.26
, pp. 315-326
-
-
Blackmore, D.1
Leu, M.C.2
Shih, F.3
-
11
-
-
0031237207
-
The sweep-envelope differential equation algorithm and its applications to NC machining verification
-
Blackmore D., Leu M.C., and Wang L.P. The sweep-envelope differential equation algorithm and its applications to NC machining verification. Comput. Aided Design 29 (1997) 629-637
-
(1997)
Comput. Aided Design
, vol.29
, pp. 629-637
-
-
Blackmore, D.1
Leu, M.C.2
Wang, L.P.3
-
13
-
-
0018178205
-
Shape description using weighted symmetric axis features
-
Blum H., and Nagel R.N. Shape description using weighted symmetric axis features. Pattern Recogn. 10 (1978) 167-180
-
(1978)
Pattern Recogn.
, vol.10
, pp. 167-180
-
-
Blum, H.1
Nagel, R.N.2
-
19
-
-
0025449463
-
Collision detection by four-dimensional intersection testing
-
Cameron S. Collision detection by four-dimensional intersection testing. IEEE Trans. Robot. Automat. 6 (1990) 291-302
-
(1990)
IEEE Trans. Robot. Automat.
, vol.6
, pp. 291-302
-
-
Cameron, S.1
-
20
-
-
0005479696
-
Algorithms for the shape of semialgebraic sets: a new approach
-
Springer, Berlin
-
Cellini P., Gianni P., and Traverso C. Algorithms for the shape of semialgebraic sets: a new approach. Lecture Notes in Computer Science vol. 539 (1991), Springer, Berlin 1-18
-
(1991)
Lecture Notes in Computer Science
, vol.539
, pp. 1-18
-
-
Cellini, P.1
Gianni, P.2
Traverso, C.3
-
25
-
-
0022720408
-
The approximation of non-degenerate offset surfaces
-
Farouki R.T. The approximation of non-degenerate offset surfaces. Comput. Aided Geom. Design 3 (1986) 15-43
-
(1986)
Comput. Aided Geom. Design
, vol.3
, pp. 15-43
-
-
Farouki, R.T.1
-
26
-
-
0344046254
-
Pythagorean-hodograph curves
-
Farin G., Hoschek J., and Kim M.-S. (Eds), Elsevier, Amsterdam
-
Farouki R.T. Pythagorean-hodograph curves. In: Farin G., Hoschek J., and Kim M.-S. (Eds). Handbook of Computer Aided Geometric Design (2002), Elsevier, Amsterdam 405-427
-
(2002)
Handbook of Computer Aided Geometric Design
, pp. 405-427
-
-
Farouki, R.T.1
-
27
-
-
28044451431
-
Minkowski combinations of complex sets-geometry algorithms, and applications
-
Lyche T., Mazure M.-L., and Schumaker L.L. (Eds), Nashboro Press
-
Farouki R.T. Minkowski combinations of complex sets-geometry algorithms, and applications. In: Lyche T., Mazure M.-L., and Schumaker L.L. (Eds). Curve and Surface Design: Saint-Malo 2002 (2003), Nashboro Press 123-146
-
(2003)
Curve and Surface Design: Saint-Malo 2002
, pp. 123-146
-
-
Farouki, R.T.1
-
28
-
-
0008784992
-
Curves and surfaces in geometrical optics
-
Lyche T., and Schumaker L.L. (Eds), Academic Press, New York
-
Farouki R.T., and Chastang J.-C.A. Curves and surfaces in geometrical optics. In: Lyche T., and Schumaker L.L. (Eds). Mathematical Methods in Computer Aided Geometric Design II (1992), Academic Press, New York 239-260
-
(1992)
Mathematical Methods in Computer Aided Geometric Design II
, pp. 239-260
-
-
Farouki, R.T.1
Chastang, J.-C.A.2
-
29
-
-
0008750263
-
Exact equations of "simple" wavefronts
-
Farouki R.T., and Chastang J.-C.A. Exact equations of "simple" wavefronts. Optik 91 (1992) 109-121
-
(1992)
Optik
, vol.91
, pp. 109-121
-
-
Farouki, R.T.1
Chastang, J.-C.A.2
-
31
-
-
4043146477
-
Computation of Minkowski values of polynomials over complex sets
-
Farouki R.T., and Han C.Y. Computation of Minkowski values of polynomials over complex sets. Numer. Algorithms 36 (2004) 13-29
-
(2004)
Numer. Algorithms
, vol.36
, pp. 13-29
-
-
Farouki, R.T.1
Han, C.Y.2
-
32
-
-
17544362257
-
Solution of elementary in the Minkowski geometric algebra of complex sets
-
Farouki R.T., and Han C.Y. Solution of elementary in the Minkowski geometric algebra of complex sets. Adv. Comput. Math. 22 (2005) 325-352
-
(2005)
Adv. Comput. Math.
, vol.22
, pp. 325-352
-
-
Farouki, R.T.1
Han, C.Y.2
-
33
-
-
34548378786
-
-
R.T. Farouki, C.Y. Han, Root neighborhoods, generalized lemniscates, and robust stability of dynamic systems, Appl. Algebra Eng. Comm. Comput., 2006, to appear.
-
-
-
-
34
-
-
27844588436
-
Boundary evaluation algorithms for Minkowski combinations of complex sets using topological analysis of implicit curves
-
Farouki R.T., Han C.Y., and Hass J. Boundary evaluation algorithms for Minkowski combinations of complex sets using topological analysis of implicit curves. Numer. Algorithms 40 (2005) 251-283
-
(2005)
Numer. Algorithms
, vol.40
, pp. 251-283
-
-
Farouki, R.T.1
Han, C.Y.2
Hass, J.3
-
36
-
-
4043067965
-
Minkowski geometric algebra and the stability of characteristic polynomials
-
Hege H.-C., and Polthier K. (Eds), Springer, Berlin
-
Farouki R.T., and Moon H.P. Minkowski geometric algebra and the stability of characteristic polynomials. In: Hege H.-C., and Polthier K. (Eds). Visualization and Mathematics III (2003), Springer, Berlin 163-188
-
(2003)
Visualization and Mathematics III
, pp. 163-188
-
-
Farouki, R.T.1
Moon, H.P.2
-
37
-
-
23044517624
-
Algorithms for Minkowski products and implicitly-defined complex sets
-
Farouki R.T., Moon H.P., and Ravani B. Algorithms for Minkowski products and implicitly-defined complex sets. Adv. Comput. Math. 13 (2000) 199-229
-
(2000)
Adv. Comput. Math.
, vol.13
, pp. 199-229
-
-
Farouki, R.T.1
Moon, H.P.2
Ravani, B.3
-
38
-
-
0005644359
-
Minkowski geometric algebra of complex sets
-
Farouki R.T., Moon H.P., and Ravani B. Minkowski geometric algebra of complex sets. Geom. Dedicata 85 (2001) 283-315
-
(2001)
Geom. Dedicata
, vol.85
, pp. 283-315
-
-
Farouki, R.T.1
Moon, H.P.2
Ravani, B.3
-
39
-
-
0025443442
-
Analytic properties of plane offset curves & Algebraic properties of plane offset curves
-
83-99, 101-127
-
Farouki R.T., and Neff C.A. Analytic properties of plane offset curves & Algebraic properties of plane offset curves. Comput. Aided Geom. Design 7 (1990) 83-99, 101-127
-
(1990)
Comput. Aided Geom. Design
, vol.7
-
-
Farouki, R.T.1
Neff, C.A.2
-
40
-
-
0036466147
-
Exact Minkowski products of N complex disks
-
Farouki R.T., and Pottmann H. Exact Minkowski products of N complex disks. Reliab. Comput. 8 (2002) 43-66
-
(2002)
Reliab. Comput.
, vol.8
, pp. 43-66
-
-
Farouki, R.T.1
Pottmann, H.2
-
43
-
-
0024163356
-
A mathematical model for shape description using Minkowski operators
-
Ghosh P.K. A mathematical model for shape description using Minkowski operators. Comput. Vision Graphics Image Process. 44 (1988) 239-269
-
(1988)
Comput. Vision Graphics Image Process.
, vol.44
, pp. 239-269
-
-
Ghosh, P.K.1
-
44
-
-
0036895253
-
Efficient topology determination of implicitly defined algebraic plane curves
-
Gonzalez-Vega L., and Necula I. Efficient topology determination of implicitly defined algebraic plane curves. Comput. Aided Geom. Design 19 (2002) 719-743
-
(2002)
Comput. Aided Geom. Design
, vol.19
, pp. 719-743
-
-
Gonzalez-Vega, L.1
Necula, I.2
-
45
-
-
0031079061
-
A new approach to the surface intersection problem
-
Grandine T.A., and Klein F.W. A new approach to the surface intersection problem. Comput. Aided Geom. Design 14 (1997) 111-134
-
(1997)
Comput. Aided Geom. Design
, vol.14
, pp. 111-134
-
-
Grandine, T.A.1
Klein, F.W.2
-
47
-
-
0032650426
-
A computing strategy for applications involving offsets, sweeps, and Minkowski operators
-
Hartquist E.E., Menon J.P., Suresh K., Voelcker H.B., and Zagajac J. A computing strategy for applications involving offsets, sweeps, and Minkowski operators. Comput. Aided Design 31 (1999) 175-183
-
(1999)
Comput. Aided Design
, vol.31
, pp. 175-183
-
-
Hartquist, E.E.1
Menon, J.P.2
Suresh, K.3
Voelcker, H.B.4
Zagajac, J.5
-
48
-
-
34249907012
-
-
J. Hass, R.T. Farouki, C.Y. Han, X. Song, T.W. Sederberg, Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme, Adv. Comput. Math., 2006, to appear.
-
-
-
-
49
-
-
0031072767
-
Computing the Minkowski sum of monotone polygons
-
Hernandez Barrera A. Computing the Minkowski sum of monotone polygons. IEICE Trans. Inform. Syst. E80D (1997) 218-222
-
(1997)
IEICE Trans. Inform. Syst.
, vol.E80D
, pp. 218-222
-
-
Hernandez Barrera, A.1
-
50
-
-
0030288245
-
An efficient method for analyzing the topology of plane real algebraic curves
-
Hong H. An efficient method for analyzing the topology of plane real algebraic curves. Math. Comput. Simulation 42 (1996) 571-582
-
(1996)
Math. Comput. Simulation
, vol.42
, pp. 571-582
-
-
Hong, H.1
-
51
-
-
0032326586
-
A Poisson geometric convolution law for the number of components in unlabelled combinatorial structures
-
Hwang H.K. A Poisson geometric convolution law for the number of components in unlabelled combinatorial structures. Combin. Probab. Comput. 7 (1998) 89-110
-
(1998)
Combin. Probab. Comput.
, vol.7
, pp. 89-110
-
-
Hwang, H.K.1
-
52
-
-
0042314938
-
Geometric simulation of ball-end milling operations
-
Imani B.M., and Elbestawi M.A. Geometric simulation of ball-end milling operations. ASME J. Manufact. Sci. Eng. 123 (2001) 177-184
-
(2001)
ASME J. Manufact. Sci. Eng.
, vol.123
, pp. 177-184
-
-
Imani, B.M.1
Elbestawi, M.A.2
-
54
-
-
34548402281
-
-
A. Kaul, Computing Minkowski sums, Ph.D. Thesis, Columbia University, 1993.
-
-
-
-
56
-
-
0026461546
-
Solid interpolating deformations: construction and animation of PIPS
-
Kaul A., and Rossignac J.R. Solid interpolating deformations: construction and animation of PIPS. Comput. Graphics 16 (1992) 107-115
-
(1992)
Comput. Graphics
, vol.16
, pp. 107-115
-
-
Kaul, A.1
Rossignac, J.R.2
-
57
-
-
0026375682
-
Swept volume determination and interference detection for moving 3D solids
-
Kieffer J., and Litvin F.L. Swept volume determination and interference detection for moving 3D solids. ASME J. Mech. Design 113 (1991) 456-463
-
(1991)
ASME J. Mech. Design
, vol.113
, pp. 456-463
-
-
Kieffer, J.1
Litvin, F.L.2
-
58
-
-
0027912316
-
An algebraic algorithm to compute the exact general sweep boundary of a 2D curved object
-
Kim M.S., Ahn J.W., and Lim S.B. An algebraic algorithm to compute the exact general sweep boundary of a 2D curved object. Inform. Process. Lett. 47 (1993) 221-229
-
(1993)
Inform. Process. Lett.
, vol.47
, pp. 221-229
-
-
Kim, M.S.1
Ahn, J.W.2
Lim, S.B.3
-
60
-
-
0032023389
-
Polynomial/rational approximation of Minkowski sum boundary curves
-
Lee I.K., and Kim M.S. Polynomial/rational approximation of Minkowski sum boundary curves. Graph. Models Image Process. 60 (1998) 136-165
-
(1998)
Graph. Models Image Process.
, vol.60
, pp. 136-165
-
-
Lee, I.K.1
Kim, M.S.2
-
61
-
-
33744679953
-
New approximation methods of planar offset and convolution curves
-
Strasser W., Klein R., and Rau R. (Eds), Springer, Berlin
-
Lee I.K., Kim M.S., and Elber G. New approximation methods of planar offset and convolution curves. In: Strasser W., Klein R., and Rau R. (Eds). Geometric Modeling: Theory and Practice (1997), Springer, Berlin 83-101
-
(1997)
Geometric Modeling: Theory and Practice
, pp. 83-101
-
-
Lee, I.K.1
Kim, M.S.2
Elber, G.3
-
62
-
-
0043158815
-
Geometric representation of translational swept volumes and its applications
-
Leu M.C., Park S.H., and Wang K.K. Geometric representation of translational swept volumes and its applications. ASME J. Eng. Industry 108 (1986) 113-119
-
(1986)
ASME J. Eng. Industry
, vol.108
, pp. 113-119
-
-
Leu, M.C.1
Park, S.H.2
Wang, K.K.3
-
63
-
-
0030165930
-
Generating the swept area of a body undergoing planar motion
-
Ling Z.K., and Chase T. Generating the swept area of a body undergoing planar motion. ASME J. Mech. Design 118 (1996) 221-223
-
(1996)
ASME J. Mech. Design
, vol.118
, pp. 221-223
-
-
Ling, Z.K.1
Chase, T.2
-
64
-
-
0042722484
-
Use of swept volumes in the design of interference free spatial mechanisms
-
Ling Z.K., and Hu Z.J. Use of swept volumes in the design of interference free spatial mechanisms. Mechanism Mach. Theory 32 (1997) 459-476
-
(1997)
Mechanism Mach. Theory
, vol.32
, pp. 459-476
-
-
Ling, Z.K.1
Hu, Z.J.2
-
65
-
-
0018533130
-
An algorithm for planning collision-free paths among polyhedral obstacles
-
Lozano-Pérez T., and Wesley M.A. An algorithm for planning collision-free paths among polyhedral obstacles. Comm. ACM 22 (1979) 560-570
-
(1979)
Comm. ACM
, vol.22
, pp. 560-570
-
-
Lozano-Pérez, T.1
Wesley, M.A.2
-
68
-
-
0024014741
-
Applications of a vector sum operator
-
Middleditch A.E. Applications of a vector sum operator. Comput. Aided Design 20 (1988) 183-188
-
(1988)
Comput. Aided Design
, vol.20
, pp. 183-188
-
-
Middleditch, A.E.1
-
69
-
-
0004190360
-
-
Princeton University Press, Princeton, NJ
-
Milnor J. Morse Theory (1963), Princeton University Press, Princeton, NJ
-
(1963)
Morse Theory
-
-
Milnor, J.1
-
70
-
-
33748504072
-
Volumen und Oberfläche
-
Minkowski H. Volumen und Oberfläche. Math. Ann. 57 (1903) 447-495
-
(1903)
Math. Ann.
, vol.57
, pp. 447-495
-
-
Minkowski, H.1
-
71
-
-
0004293209
-
-
Prentice-Hall, Englewood Cliffs, NJ
-
Moore R.E. Interval Analysis (1966), Prentice-Hall, Englewood Cliffs, NJ
-
(1966)
Interval Analysis
-
-
Moore, R.E.1
-
72
-
-
0027990078
-
Computational methods for evaluating swept object boundaries
-
Parida L., and Mudur S.P. Computational methods for evaluating swept object boundaries. Visual Comput. 10 (1994) 266-276
-
(1994)
Visual Comput.
, vol.10
, pp. 266-276
-
-
Parida, L.1
Mudur, S.P.2
-
74
-
-
0033078432
-
Voronoi diagram and medial axis algorithm for planar domains with curved boundaries I. Theoretical foundations & II. Detailed algorithm description
-
119-141, 253-277
-
Ramamurthy R., and Farouki R.T. Voronoi diagram and medial axis algorithm for planar domains with curved boundaries I. Theoretical foundations & II. Detailed algorithm description. J. Comput. Appl. Math. 102 (1999) 119-141, 253-277
-
(1999)
J. Comput. Appl. Math.
, vol.102
-
-
Ramamurthy, R.1
Farouki, R.T.2
-
76
-
-
0000320390
-
Complexity of the computation of cylindrical decomposition and topology of real algebraic curves using Thom's Lemma
-
Springer, Berlin
-
Roy M.-F., and Szpirglas A. Complexity of the computation of cylindrical decomposition and topology of real algebraic curves using Thom's Lemma. Lecture Notes in Mathematics vol. 1420 (1990), Springer, Berlin 223-236
-
(1990)
Lecture Notes in Mathematics
, vol.1420
, pp. 223-236
-
-
Roy, M.-F.1
Szpirglas, A.2
-
77
-
-
0002340324
-
The topological configuration of a real algebraic curve
-
Sakkalis T. The topological configuration of a real algebraic curve. Bull. Austral. Math. Soc. 43 (1991) 37-50
-
(1991)
Bull. Austral. Math. Soc.
, vol.43
, pp. 37-50
-
-
Sakkalis, T.1
-
81
-
-
1542335371
-
Linear perturbation methods for topologically consistent representations of free-form surface intersections
-
Song X., Sederberg T.W., Zheng J., Farouki R.T., and Hass J. Linear perturbation methods for topologically consistent representations of free-form surface intersections. Comput. Aided Geom. Design 21 (2004) 303-319
-
(2004)
Comput. Aided Geom. Design
, vol.21
, pp. 303-319
-
-
Song, X.1
Sederberg, T.W.2
Zheng, J.3
Farouki, R.T.4
Hass, J.5
-
83
-
-
0034188664
-
The sweep-envelope differential equation for general deformed swept volumes
-
Wang G.P., Sun J.G., and Hua X.J. The sweep-envelope differential equation for general deformed swept volumes. Comput. Aided Geom. Design 17 (2000) 399-418
-
(2000)
Comput. Aided Geom. Design
, vol.17
, pp. 399-418
-
-
Wang, G.P.1
Sun, J.G.2
Hua, X.J.3
-
84
-
-
0022906241
-
Geometric modeling for swept volume of moving solids
-
Wang W.P., and Wang K.K. Geometric modeling for swept volume of moving solids. IEEE Comput. Graphics Appl. 6 12 (1986) 8-17
-
(1986)
IEEE Comput. Graphics Appl.
, vol.6
, Issue.12
, pp. 8-17
-
-
Wang, W.P.1
Wang, K.K.2
-
86
-
-
0025508255
-
Geometric representation of swept volumes with application to polyhedral objects
-
Weld J.D., and Leu M.C. Geometric representation of swept volumes with application to polyhedral objects. Internat. J. Robot. Res. 9 (1990) 105-117
-
(1990)
Internat. J. Robot. Res.
, vol.9
, pp. 105-117
-
-
Weld, J.D.1
Leu, M.C.2
-
87
-
-
10044266580
-
Approximate swept volume of NURBS surfaces or solids
-
Yang J.Z., and Abdel-Malek K. Approximate swept volume of NURBS surfaces or solids. Comput. Aided Geom. Design 22 (2005) 1-26
-
(2005)
Comput. Aided Geom. Design
, vol.22
, pp. 1-26
-
-
Yang, J.Z.1
Abdel-Malek, K.2
|