# zbMATH — the first resource for mathematics

 Short Title: Comput.-Aided Des. Publisher: Elsevier Science, Oxford ISSN: 0010-4485 Online: http://www.sciencedirect.com/science/journal/00104485 Comments: No longer indexed
 Documents Indexed: 686 Publications (1987–2011)
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#### Latest Issues

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#### Authors

 12 Kim, Deok-Soo 11 Elber, Gershon 10 Walton, Desmond J. 9 Jüttler, Bert 9 Meek, Dereck S. 8 Hoffmann, Christoph M. 8 Kim, Myung-Soo 7 Patrikalakis, Nicholas M. 7 Sánchez-Reyes, Javier 7 Tiller, Wayne 6 Hoschek, Josef 6 Lee, Yuan-Shin 6 Paoluzzi, Alberto 6 Woo, Tony C. 5 Gadh, Rajit 5 Kim, Donguk 5 Piegl, Les A. 5 Pottmann, Helmut 5 Sapidis, Nickolas S. 5 Sederberg, Thomas W. 5 Shah, Jami J. 5 Sugihara, Kokichi 5 Sun, Jiaguang 5 van Overveld, C. W. A. M. 5 Ye, Xiuzi 5 Yong, Junhai 4 Bloor, Malcolm I. G. 4 Cheng, Fuhua 4 Goldman, Ronald N. 4 Hu, Chun-Yi 4 Hu, Shimin 4 Kallay, Michael 4 Kurfess, Thomas R. 4 Maekawa, Takashi 4 Manocha, Dinesh 4 Qin, Hong 4 Ravani, Bahram 4 Rokne, Jon G. 4 Seidel, Hans-Peter 4 Séquin, Carlo H. 4 Shapiro, Vadim 4 Shin, Hayong 4 Shpitalni, Moshe 4 Wang, Guojin 4 Wilson, Michael J. 3 Barry, Phillip J. 3 Bercovier, Michel 3 Blackmore, Denis L. 3 Bowyer, Adrian 3 Bronsvoort, Willem F. 3 Clark, Douglas E. R. 3 Corney, J. R. 3 Dutta, Debasish 3 Gao, Xiaoshan 3 Goodman, Timothy N. T. 3 Greiner, Günther 3 Joskowicz, Leo 3 Jun, Cha-soo 3 Kim, Yong Se 3 Kobbelt, Leif 3 Kyung, C. M. 3 Martin, Ralph R. 3 Ong, Boon-Hua 3 Ozsoy, Tulga M. 3 Ratschek, Helmut 3 Regli, William C. 3 Rogers, David F. 3 Rossignac, Jarek R. 3 Sahni, Sartaj K. 3 Stewart, Neil-Frederick 3 Tang, Kai 3 Wagner, Michael G. 3 Wang, Wenping 3 Westberg, Stefan K. E. 3 Yang, Daniel C. H. 3 Yang, Xunnian 3 Yuen, Matthew Ming-Fai 2 Abhyankar, Shreeram Shankar 2 Ahn, Young Joon 2 Alhanaty, M. 2 Au, C. K. 2 Aumann, Günter 2 Bajaj, Chanderjit L. 2 Bez, Helmut E. 2 Böhm, Wolfgang 2 Bose, Prosenjit K. 2 Bouma, William J. 2 Chang, K. E. 2 Chang, Tien-Chien 2 Chen, C. L. Philip 2 Chen, Linlin 2 Chen, Xiangping 2 Chen, Xiaodiao 2 Chiou, Chuang-Jang 2 Cho, Wonjoon 2 Cho, Youngsong 2 Chou, Shuo-Yan 2 Chu, Chi-Nan 2 Cohen, Elaine 2 Coquillart, Sabine ...and 751 more Authors
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#### Fields

 411 Numerical analysis (65-XX) 370 Computer science (68-XX) 92 Geometry (51-XX) 38 Differential geometry (53-XX) 35 Approximations and expansions (41-XX) 13 Mechanics of particles and systems (70-XX) 12 Operations research, mathematical programming (90-XX) 11 Information and communication theory, circuits (94-XX) 9 Mechanics of deformable solids (74-XX) 7 Algebraic geometry (14-XX) 7 Convex and discrete geometry (52-XX) 5 History and biography (01-XX) 5 Combinatorics (05-XX) 5 Partial differential equations (35-XX) 5 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Statistics (62-XX) 2 Manifolds and cell complexes (57-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

471 Publications have been cited 2,626 times in 1,982 Documents Cited by Year
Finite element mesh generation methods: A review and classification. Zbl 0661.65124
Ho-Le, K.
1988
Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling. Zbl 1054.68748
Jüttler, Bert; Mäurer, Christoph
1999
Choosing nodes in parametric curve interpolation. Zbl 0675.65002
Lee, E. T. Y.
1989
Degree reduction of Bézier curves. Zbl 0658.65014
Watkins, M. A.; Worsey, A. J.
1988
Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves. Zbl 1049.68723
Farouki, Rida T.; Manjunathaiah, Jairam; Nicholas, David; Yuan, Guo-Feng; Jee, Sungchul
1998
Using partial differential equations to generate free-form surfaces. Zbl 0754.65016
Bloor, M. I. G.; Wilson, M. J.
1990
$$GC^ 1$$ continuity conditions between adjacent rectangular and triangular Bézier surface patches. Zbl 0673.65006
Liu, D.; Hoschek, J.
1989
Interpolatory convexity-preserving subdivision schemes for curves and surfaces. Zbl 0755.65014
Dyn, N.; Levin, D.; Liu, D.
1992
Curve intersection using Bézier clipping. Zbl 0716.65005
Sederberg, T. W.; Nishita, T.
1990
An approximation of circular arcs by quartic Bézier curves. Zbl 1206.65095
Kim, Seon-Hong; Ahn, Young Joon
2007
Curve and surface constructions using rational B-splines. Zbl 0655.65012
Piegl, Leslie; Tiller, Wayne
1987
Generating blend surfaces using partial differential equations. Zbl 0669.65006
Bloor, M. I. G.; Wilson, M. J.
1989
An overview of offset curves and surfaces. Zbl 1053.68747
Maekawa, Takashi
1999
Topological models for boundary representation: A comparison with $$n$$- dimensional generalized maps. Zbl 0754.65018
Lienhardt, Pascal
1991
Geometric constraint solver. Zbl 0960.68721
Bouma, William; Fudos, Ioannis; Hoffmann, Christoph; Cai, Jiazhen; Paige, Robert
1995
Properties of generalized Ball curves and surfaces. Zbl 0749.65009
Goodman, T. N. T.; Said, H. B.
1991
Medial axis transform and offset curves by Minkowski Pythagorean hodograph curves. Zbl 1054.68741
Choi, Hyeong In; Han, Chang Yong; Moon, Hwan Pyo; Roh, Kyeong Hah; Wee, Nam-Sook
1999
Algorithm for algebraic curve intersection. Zbl 0688.65012
Sederberg, T. W.
1989
Automatic fairing algorithm for B-spline curves. Zbl 0697.65003
Sapidis, N.; Farin, G.
1990
Parametric representation of a surface pencil with a common spatial geodesic. Zbl 1206.65065
Wang, Guo-Jin; Tang, Kai; Tai, Chiew-Lan
2004
Visual continuity. Zbl 0668.65009
Boehm, Wolfgang
1988
A generic approach for nesting of 2-D parts in 2-D sheets using genetic and heuristic algorithms. Zbl 1206.90031
Babu, A. Ramesh; Babu, N. Ramesh
2001
DeWall: a fast divide and conquer Delaunay triangulation algorithm in $$E^d$$. Zbl 1035.68122
Cignoni, P.; Montani, C.; Scopigno, R.
1998
Establishment of a pair of concentric circles with the minimum radial separation for assessing roundness error. Zbl 0752.65107
Roy, U.; Zhang, Xuzeng
1992
Approximation of discrete data by $$G^ 1$$ arc splines. Zbl 0755.65010
Meek, D. S.; Walton, D. J.
1992
A survey of blending methods that use parametric surfaces. Zbl 0802.65005
Vida, Janos; Martin, Ralph R.; Varady, Tamas
1994
Parametrization of randomly measured points for least squares fitting of $$B$$-spline curves and surfaces. Zbl 0836.65014
Ma, Weiyin; Kruth, J. P.
1995
Modifying the shape of rational B-splines. I: Curves. Zbl 0688.65007
Piegl, L.
1989
Planar curve offset based on circle approximation. Zbl 0852.68104
Lee, In-Kwon; Kim, Myung-Soo; Elber, Gershon
1996
Boundary integration over linear polyhedra. Zbl 0697.65004
Cattani, C.; Paoluzzi, A.
1990
Bertrand offsets of ruled and developable surfaces. Zbl 0729.53017
Ravani, B.; Ku, T. S.
1991
Software-engineering approach to degree elevation of $$B$$-spline curves. Zbl 0816.65002
Piegl, Les; Tiler, Wayne
1994
Higher order Bézier circles. Zbl 0827.65015
Chou, Jin J.
1995
Constrained B-spline curve and surface fitting. Zbl 0687.65008
Rogers, D. F.; Fog, N. G.
1989
Representing PDE surfaces in terms of B-splines. Zbl 0706.65006
Bloor, M. I. G.; Wilson, M. J.
1990
Robust interval algorithm for surface intersections. Zbl 0883.68128
Hu, Chun-Yi; Maekawa, Takashi; Patrikalakis, Nicholas M.; Ye, Xiuzi
1997
Tabu search and design optimization. Zbl 0735.65036
Bland, J. A.; Dawson, G. P.
1991
Automatic parameterization of rational curves and surfaces. I: Conics and conicoids. Zbl 0655.65017
Abhyankar, Shreeram S.; Bajaj, Chanderjit
1987
Graph-based heuristics for recognition of machined features from a 3D solid model. Zbl 0656.65014
Joshi, S.; Chang, T. C.
1988
Triangulation of trimmed surfaces in parametric space. Zbl 0756.65168
Sheng, X.; Hirsch, B. E.
1992
Knot-removal algorithms for NURBS curves and surfaces. Zbl 0808.65007
Tiller, W.
1992
Automatic parametrization of rational curves and surfaces. II: Cubics and cubicoids. Zbl 0655.65018
Abhyankar, Shreeram S.; Bajaj, Chanderjit
1987
Integrated mechanically based CAE system using B-spline finite elements. Zbl 1206.65050
Kagan, P.; Fischer, A.
2000
Constrained design of polynomial surfaces from geodesic curves. Zbl 1206.65109
2008
Cubic polynomial patches through geodesics. Zbl 1206.65103
Paluszny, Marco
2008
Rational curves with polynomial parameterization. Zbl 0742.65012
Manocha, D.; Canny, J. F.
1991
Single-valued spline curves in polar coordinates. Zbl 0765.65014
Sánchez-Reyes, J.
1992
Rational motion design – a survey. Zbl 0906.68175
Röschel, Otto
1998
Interpolation schemes for rigid body motions. Zbl 0904.68179
Žefran, Miloš; Kumar, Vijay
1998
Design of developable surfaces using duality between plane and point geometries. Zbl 0802.65007
Bodduluri, R. M. C.; Ravani, B.
1993
Realtime curve interpolators. Zbl 0808.65006
Shpitalni, M.; Koren, Y.; Lo, C. C.
1994
Rational patches on quadric surfaces. Zbl 0814.65020
Dietz, Roland; Hoschek, Josef; Jüttler, Bert
1995
Representing the Voronoï diagram of a simple polygon using rational quadratic Bézier curves. Zbl 0834.65150
Kim, Deok-Soo; Hwang, Il-Kyu; Park, Bum-Joo
1995
Conversion from Bézier rectangles to Bézier triangles. Zbl 0655.65023
Goldman, Ronald N.; Filip, Daniel J.
1987
Skinning techniques for interactive B-spline surface interpolation. Zbl 0681.65003
Woodward, C. D.
1988
Smooth mesh interpolation with cubic patches. Zbl 0698.65005
Peters, Jörg
1990
Single-valued curves in polar coordinates. Zbl 0699.65011
Sanchez-Reyes, J.
1990
Polycube splines. Zbl 1206.65038
Wang, Hongyu; He, Ying; Li, Xin; Gu, Xianfeng; Qin, Hong
2008
Computing offsets of NURBS curves and surfaces. Zbl 1053.68749
Piegl, Les A.; Tiller, Wayne
1999
Quadrilateral mesh generation in polygonal regions. Zbl 0828.65134
Joe, Barry
1995
Sweeping of three-dimensional objects. Zbl 0754.65019
Martin, R. R.; Stephenson, P. C.
1990
Discrete smooth interpolation in geometric modelling. Zbl 0808.65005
Mallet, J.-L.
1992
Circular splines. Zbl 0763.65005
Hoschek, J.
1992
Twists, curvatures and surface interrogation. Zbl 0656.65026
Barnhill, R. E.; Farin, G.; Fayard, L.; Hagen, H.
1988
Triangulation of scattered data in 3D space. Zbl 0681.65002
Choi, B. K.; Shin, H. Y.; Yoon, Y. I.; Lee, J. W.
1988
Developable Bézier patches: properties and design. Zbl 1206.65076
Chu, Chih-Hsing; Séquin, Carlo H.
2002
Parametric interpolator $$versus$$ linear interpolator for precision CNC machining. Zbl 0803.68145
Yang, Daniel C. H.; Kong, Tom
1994
On the $$G^ 1$$ continuity of piecewise Bézier surfaces: A review with new results. Zbl 0716.65006
Du, Wen-Hui; Schmitt, Francis J. M.
1990
Integration of polynomials over $$n$$-dimensional polyhedra. Zbl 0725.65027
Bernardini, Fausto
1991
Efficient and exact manipulation of algebraic points and curves. Zbl 1206.65029
Keyser, J.; Culver, T.; Manocha, D.; Krishnan, S.
2000
Adaptive knot placement in B-spline curve approximation. Zbl 1206.65033
Li, Weishi; Xu, Shuhong; Zhao, Gang; Goh, Li Ping
2005
Planar $$G^2$$ transition between two circles with a fair cubic Bézier curve. Zbl 1038.68579
Walton, D. J.; Meek, D. S.
1999
On the computational geometry of ruled surfaces. Zbl 1054.68749
Peternell, Martin; Pottmann, Helmut; Ravani, Bahram
1999
Bisector curves of planar rational curves. Zbl 1034.68558
Elber, Gershon; Kim, Myung-Soo
1998
Voronoi diagrams and offset curves of curvilinear polygons. Zbl 1084.68914
Held, Martin
1998
Rule-oriented method for parameterized computer-aided design. Zbl 0760.65017
Verroust, A.; Schonek, F.; Roller, D.
1992
Quadric-surface intersection curves: Shape and structure. Zbl 0794.65102
Wilf, Itzhak; Manor, Yehuda
1993
Interpolation with minimal-energy splines. Zbl 0798.65016
Brunnett, Guido; Kiefer, Johannes
1994
Parting directions for mould and die design. Zbl 0803.68151
Chen, Lin-Lin; Chou, Shuo-Yan; Woo, Tony C.
1993
Tessellating trimmed NURBS surfaces. Zbl 0814.65019
Piegl, Leslie A.; Richard, Arnaud M.
1995
Interpolating solid orientations with circular blending quaternion curves. Zbl 0836.65158
Kim, Myung-Soo; Nam, Kee-Won
1995
Degree reduction of Bézier curves by uniform approximation with endpoint interpolation. Zbl 0837.65007
Bogacki, Przemyslaw; Weinstein, Stanley E.; Xu, Yuesheng
1995
Offset approximation of uniform B-splines. Zbl 0656.65010
Pham, B.
1988
Variation of geometries based on a geometric-reasoning method. Zbl 0656.65017
Aldefeld, B.
1988
Optimal approximate conversion of spline curves and spline approximation of offset curves. Zbl 0666.65010
Hoschek, J.; Wissel, N.
1988
Blending of implicit surfaces with functional splines. Zbl 0708.65017
Hartmann, E.
1990
Interactive interpolation and approximation by Bézier polynomials. Zbl 0727.65010
Forrest, A. R.
1990
Robust arithmetic for multivariate Bernstein-form polynomials. Zbl 1206.65268
Berchtold, J.; Bowyer, A.
2000
A machining potential field approach to tool path generation for multi-axis sculptured surface machining. Zbl 1383.70003
Chiou, Chuang-Jang; Lee, Yuan-Shin
2002
Surface reconstruction via geodesic interpolation. Zbl 1206.65113
Sprynski, N.; Szafran, N.; Lacolle, B.; Biard, L.
2008
Topology-oriented incremental computation of Voronoi diagrams of circular arcs and straight-line segments. Zbl 1206.65087
Held, Martin; Huber, Stefan
2009
Meshfree simulation of deforming domains. Zbl 1053.68751
Shapiro, V.; Tsukanov, I.
1999
Interproximation: Interpolation and approximation using cubic spline curves. Zbl 0745.65006
Cheng, F.; Barsky, B. A.
1991
Approximating quadratic NURBS curves by arc splines. Zbl 0776.65014
Meek, D. S.; Walton, D. J.
1993
Pocket machining based on contour-parallel tool paths generated by means of proximity maps. Zbl 0803.68150
Held, M.; Lukács, G.; Andor, L.
1994
Improved test for closed loops in surface intersections. Zbl 0688.65011
Sederberg, T. W.; Christiansen, H. N.; Katz, S.
1989
Method for fairing B-spline surfaces. Zbl 0693.65006
Lott, N. J.; Pullin, D. I.
1988
Shape determination of planar uniform cubic B-spline segments. Zbl 0708.65015
Meek, D. S.; Walton, D. J.
1990
Approximate merging of a pair of Bézier curves. Zbl 1206.65048
Hu, Shi-Min; Tong, Rou-Feng; Ju, Tao; Sun, Jia-Guang
2001
Curve and surface fitting and design by optimal control methods. Zbl 1206.65043
Alhanaty, M.; Bercovier, M.
2001
Constrained approximation of rational Bézier curves based on a matrix expression of its end points continuity condition. Zbl 1206.65073
Cai, Hong-Jie; Wang, Guo-Jin
2010
3D ball skinning using PDEs for generation of smooth tubular surfaces. Zbl 1206.65111
Slabaugh, Greg; Whited, Brian; Rossignac, Jarek; Fang, Tong; Unal, Gozde
2010
$$G^{2}$$ Hermite interpolation with circular precision. Zbl 1206.65118
Walton, D. J.; Meek, D. S.
2010
Quasi-worlds and quasi-operators on quasi-triangulations. Zbl 1206.65093
Kim, Deok-Soo; Cho, Youngsong; Sugihara, Kokichi
2010
Five decades of computer-aided ship design. Zbl 1206.74004
Nowacki, Horst
2010
Topology-oriented incremental computation of Voronoi diagrams of circular arcs and straight-line segments. Zbl 1206.65087
Held, Martin; Huber, Stefan
2009
Point-tangent/point-normal B-spline curve interpolation by geometric algorithms. Zbl 1206.65084
Gofuku, Shu-Ichi; Tamura, Shigefumi; Maekawa, Takashi
2009
Contributing vertices-based Minkowski sum computation of convex polyhedra. Zbl 1206.65070
Barki, Hichem; Denis, Florence; Dupont, Florent
2009
On global continuity of Coons mappings in patching CAD surfaces. Zbl 1206.65058
Randrianarivony, Maharavo
2009
Constrained design of polynomial surfaces from geodesic curves. Zbl 1206.65109
2008
Cubic polynomial patches through geodesics. Zbl 1206.65103
Paluszny, Marco
2008
Polycube splines. Zbl 1206.65038
Wang, Hongyu; He, Ying; Li, Xin; Gu, Xianfeng; Qin, Hong
2008
Surface reconstruction via geodesic interpolation. Zbl 1206.65113
Sprynski, N.; Szafran, N.; Lacolle, B.; Biard, L.
2008
Computing exact rational offsets of quadratic triangular Bézier surface patches. Zbl 1206.65071
Bastl, Bohumír; Jüttler, Bert; Kosinka, Jiří; Lávička, Miroslav
2008
Self-intersection detection and elimination in freeform curves and surfaces. Zbl 1206.65104
Pekerman, Diana; Elber, Gershon; Kim, Myung-Soo
2008
Manifold splines with a single extraordinary point. Zbl 1206.65031
Gu, Xianfeng; He, Ying; Jin, Miao; Luo, Feng; Qin, Hong; Yau, Shing-Tung
2008
Dual evolution of planar parametric spline curves and T-spline level sets. Zbl 1206.65081
Feichtinger, Robert; Fuchs, Matthias; Jüttler, Bert; Scherzer, Otmar; Yang, Huaiping
2008
Boolean surfaces with shape constraints. Zbl 1206.65077
Costantini, Paolo; Pelosi, Francesca; Sampoli, Maria Lucia
2008
An approximation of circular arcs by quartic Bézier curves. Zbl 1206.65095
Kim, Seon-Hong; Ahn, Young Joon
2007
Exact and efficient construction of Minkowski sums of convex polyhedra with applications. Zbl 1206.65082
Fogel, Efi; Halperin, Dan
2007
$$G^{2}$$ surface modeling using minimal mean-curvature-variation flow. Zbl 1206.65121
Xu, Guoliang; Zhang, Qin
2007
Efficiently determining a locally exact shortest path on polyhedral surfaces. Zbl 1206.65120
Xin, Shi-Qing; Wang, Guo-Jin
2007
Simultaneous blending of convex polyhedra by algebraic splines. Zbl 1206.65102
Mou, Haining; Zhao, Guohui; Wang, Zhirui; Su, Zhixun
2007
Improved bounds on partial derivatives of rational triangular Bézier surfaces. Zbl 1206.65088
Hu, Qian-Qian; Wang, Guo-Jin
2007
Constant cusp height tool paths as geodesic parallels on an abstract Riemannian manifold. Zbl 1206.65096
Kim, Taejung
2007
Computing general geometric structures on surfaces using Ricci flow. Zbl 1206.65090
Jin, Miao; Luo, Feng; Gu, Xianfeng David
2007
Sliver-free perturbation for the Delaunay tetrahedrization. Zbl 1206.65114
Sugihara, Kokichi
2007
Multi-degree reduction of triangular Bézier surfaces with boundary constraints. Zbl 1206.65100
Lu, Lizheng; Wang, Guozhao
2006
A C-tree decomposition algorithm for 2D and 3D geometric constraint solving. Zbl 1206.65083
Gao, Xiao-Shan; Lin, Qiang; Zhang, Gui-Fang
2006
Region-expansion for the Voronoi diagram of 3D spheres. Zbl 1206.65094
Kim, Donguk; Kim, Deok-Soo
2006
A sweepline algorithm for Euclidean Voronoi diagram of circles. Zbl 1206.65089
Jin, Li; Kim, Donguk; Mu, Lisen; Kim, Deok-Soo; Hu, Shi-Min
2006
Using invariance under the similarity group to solve geometric constraint systems. Zbl 1206.65063
Schreck, Pascal; Schramm, Étienne
2006
A quasi-Monte Carlo method for computing areas of point-sampled surfaces. Zbl 1206.65099
Liu, Yu-Shen; Yong, Jun-Hai; Zhang, Hui; Yan, Dong-Ming; Sun, Jia-Guang
2006
Geometric constraint solving: the witness configuration method. Zbl 1206.65057
Michelucci, Dominique; Foufou, Sebti
2006
Computing minimum distance between two implicit algebraic surfaces. Zbl 1206.65074
Chen, Xiao-Diao; Yong, Jun-Hai; Zheng, Guo-Qin; Paul, Jean-Claude; Sun, Jia-Guang
2006
Kim, Donguk; Kim, Deok-Soo; Sugihara, Kokichi
2006
Characterization of polyhedron monotonicity. Zbl 1206.65086
Ha, J. S.; Yoo, K. H.; Hahn, J. K.
2006
Local feature extraction and matching partial objects. Zbl 1206.68265
Bespalov, Dmitriy; Regli, William C.; Shokoufandeh, Ali
2006
Skewed rotational symmetry detection from a 2D line drawing of a 3D polyhedral object. Zbl 1206.68282
Zou, H. L.; Lee, Y. T.
2006
Adaptive knot placement in B-spline curve approximation. Zbl 1206.65033
Li, Weishi; Xu, Shuhong; Zhao, Gang; Goh, Li Ping
2005
Euclidean Voronoi diagram of 3D balls and its computation via tracing edges. Zbl 1206.65092
Kim, Deok-Soo; Cho, Youngsong; Kim, Donguk
2005
Curvature estimation scheme for triangle meshes using biquadratic Bézier patches. Zbl 1206.65107
Razdan, Anshuman; Bae, Myungsoo
2005
Lossless compression of predicted floating-point geometry. Zbl 1206.94019
Isenburg, Martin; Lindstrom, Peter; Snoeyink, Jack
2005
Surface interpolation of meshes by geometric subdivision. Zbl 1206.65067
Yang, Xunnian
2005
A Delaunay-based region-growing approach to surface reconstruction from unorganized points. Zbl 1206.68326
Kuo, Chuan-Chu; Yau, Hong-Tzong
2005
Volume CAD-CW-complexes based approach. Zbl 1206.65091
Kase, Kiwamu; Teshima, Yoshinori; Usami, Shugo; Kato, Masaya; Yamazaki, Shuntaro; Ito, Masao; Makinouchi, Akitake
2005
Parametric representation of a surface pencil with a common spatial geodesic. Zbl 1206.65065
Wang, Guo-Jin; Tang, Kai; Tai, Chiew-Lan
2004
Exact and approximate computation of B-spline curves on surfaces. Zbl 1206.65060
Renner, Gábor; Weiß, Volker
2004
Curve fitting and fairing using conic splines. Zbl 1206.68329
Yang, Xunnian
2004
A practical construction of $$G^{1}$$ smooth biquintic B-spline surfaces over arbitrary topology. Zbl 1206.65064
Shi, Xiquan; Wang, Tianjun; Yu, Piqiang
2004
Approximation by skin surfaces. Zbl 1206.65052
Kruithof, Nico; Vegter, Gert
2004
A shape design system using volumetric implicit PDEs. Zbl 1206.65045
Du, Haixia; Qin, Hong
2004
Error-bounded biarc approximation of planar curves. Zbl 1206.65037
Park, Hyungjun
2004
Using low-discrepancy sequences and the Crofton formula to compute surface areas of geometric models. Zbl 1206.65054
Li, Xueqing; Wang, Wenping; Martin, Ralph R.; Bowyer, Adrian
2003
Algebraic manipulation in the Bernstein form made simple via convolutions. Zbl 1206.68375
Sánchez-Reyes, J.
2003
Compressed piecewise-circular approximations of 3D curves. Zbl 1206.65108
Safonova, Alla; Rossignac, Jarek
2003
Minimum distance between a canal surface and a simple surface. Zbl 1206.68325
Kim, Ku-Jin
2003
Newton methods for parametric surface registration. II: Experimental validation. Zbl 1206.65117
Tucker, Thomas M.; Kurfess, Thomas R.
2003
Parametric circles and spheres. Zbl 1206.65085
Goshtasby, A. Ardeshir
2003
A constrained guided $$G^{1}$$ continuous spline curve. Zbl 1206.65035
Meek, D. S.; Ong, B. H.; Walton, D. J.
2003
Circle approximation using integral B-splines. Zbl 1206.68328
Piegl, Les A.; Tiller, Wayne
2003
Improvements to algorithms for computing the Minkowski sum of 3-polytopes. Zbl 1206.52003
Wu, Yanyan; Shah, Jami J.; Davidson, Joseph K.
2003
Developable Bézier patches: properties and design. Zbl 1206.65076
Chu, Chih-Hsing; Séquin, Carlo H.
2002
A machining potential field approach to tool path generation for multi-axis sculptured surface machining. Zbl 1383.70003
Chiou, Chuang-Jang; Lee, Yuan-Shin
2002
Approximation by fat arcs and fat biarcs. Zbl 1206.65055
Lin, Qun; Rokne, J. G.
2002
On Pierre Bézier’s life and motivations. Zbl 1206.65004
Rabut, Christophe
2002
Qualitative and quantitative comparisons of B-spline offset surface approximation methods. Zbl 1206.65053
Kulczycka, Malgorzata A.; Nachman, Louis J.
2002
Algorithm for finding all $$k$$ nearest neighbors. Zbl 1206.65165
Piegl, Les A.; Tiller, Wayne
2002
Geometric constraint solving with conics and linkages. Zbl 1206.51019
Gao, Xiao-Shan; Jiang, Kun; Zhu, Chang-Cai
2002
A new constructive approach to constraint-based geometric design. Zbl 1206.65106
Podgorelec, D.
2002
A generic approach for nesting of 2-D parts in 2-D sheets using genetic and heuristic algorithms. Zbl 1206.90031
Babu, A. Ramesh; Babu, N. Ramesh
2001
Approximate merging of a pair of Bézier curves. Zbl 1206.65048
Hu, Shi-Min; Tong, Rou-Feng; Ju, Tao; Sun, Jia-Guang
2001
Curve and surface fitting and design by optimal control methods. Zbl 1206.65043
Alhanaty, M.; Bercovier, M.
2001
Fairing spline curves and surfaces by minimizing energy. Zbl 1206.65040
Zhang, Caiming; Zhang, Pifu; Cheng, Fuhua (Frank)
2001
Remeshing triangulated surfaces with optimal parameterizations. Zbl 1206.65046
Hormann, K.; Labsik, U.; Greiner, G.
2001
Geometry based triangulation of multiple trimmed NURBS surfaces. Zbl 1206.65097
Kumar, G. V. V. Ravi; Srinivasan, Prabha; Shastry, K. G.; Prakash, B. G.
2001
Planar point set fairing and fitting by arc splines. Zbl 1206.65039
Yang, Xunnian; Wang, Guozhao
2001
Approximate shortest path on a polyhedral surface and its applications. Zbl 1206.65160
Kanai, Takashi; Suzuki, Hiromasa
2001
Conic approximation of planar curves. Zbl 1206.65069
Ahn, Y. J.
2001
On swept volume formulations: implicit surfaces. Zbl 1206.65042
Abdel-Malek, K.; Yang, J.; Blackmore, D.
2001
Rational Bézier form of hodographs of rational Bézier curves and surfaces. Zbl 1206.65051
Kim, D.-S.; Jang, T.; Shin, H.; Park, J. Y.
2001
Trimming analytic functions using right sided Poisson subdivision. Zbl 1206.65127
Morin, Géraldine; Goldman, Ron
2001
Integrated mechanically based CAE system using B-spline finite elements. Zbl 1206.65050
Kagan, P.; Fischer, A.
2000
Efficient and exact manipulation of algebraic points and curves. Zbl 1206.65029
Keyser, J.; Culver, T.; Manocha, D.; Krishnan, S.
2000
Robust arithmetic for multivariate Bernstein-form polynomials. Zbl 1206.65268
Berchtold, J.; Bowyer, A.
2000
Degree reduction of interval Bézier curves. Zbl 1206.65056
Lou, Falai; Chen, Wenping
2000
Fast volume-preserving free-form deformation using multi-level optimization. Zbl 1206.65159
Hirota, G.; Maheshwari, R.; Lin, M. C.
2000
Bisection algorithms for approximating quadratic Bézier curves by $$G^{1}$$ arc splines. Zbl 1206.65047
Hu, Jun-Hai; Sun, Shi-Min; Yong, Jia-Guang
2000
How trivial are reliable box-plane intersections? Zbl 1206.65059
Ratschek, H.; Rokne, J. G.
2000
Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling. Zbl 1054.68748
Jüttler, Bert; Mäurer, Christoph
1999
An overview of offset curves and surfaces. Zbl 1053.68747
Maekawa, Takashi
1999
Medial axis transform and offset curves by Minkowski Pythagorean hodograph curves. Zbl 1054.68741
Choi, Hyeong In; Han, Chang Yong; Moon, Hwan Pyo; Roh, Kyeong Hah; Wee, Nam-Sook
1999
Computing offsets of NURBS curves and surfaces. Zbl 1053.68749
Piegl, Les A.; Tiller, Wayne
1999
Planar $$G^2$$ transition between two circles with a fair cubic Bézier curve. Zbl 1038.68579
Walton, D. J.; Meek, D. S.
1999
On the computational geometry of ruled surfaces. Zbl 1054.68749
Peternell, Martin; Pottmann, Helmut; Ravani, Bahram
1999
Meshfree simulation of deforming domains. Zbl 1053.68751
Shapiro, V.; Tsukanov, I.
1999
Surface interpolation based on new local coordinates. Zbl 1054.68751
Sugihara, Kokichi
1999
Bézier representation of epitrochoids and hypotrochoids. Zbl 1038.68578
Sánchez-Reyes, J.
1999
Efficient cutter-path planning for five-axis surface machining with a flat-end cutter. Zbl 1041.68534
Lo, C.-C.
1999
Segmentation of measured point data using a parametric quadric surface approximation. Zbl 1053.68753
Yang, M.; Lee, E.
1999
...and 371 more Documents
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#### Cited by 2,970 Authors

 52 Farouki, Rida T. 27 Jüttler, Bert 24 Wang, Guozhao 20 Wang, Guojin 19 Meek, Dereck S. 18 Peters, Jorg 18 Sánchez-Reyes, Javier 18 Walton, Desmond J. 17 Lávička, Miroslav 15 Han, Xuli 14 Ahn, Young Joon 14 Elber, Gershon 14 Pottmann, Helmut 13 Han, Chang Yong 13 Šír, Zbyněk 12 Lu, Lizheng 12 Wang, Wenping 12 Zhu, Chungang 11 Chen, Falai 11 Hoffmann, Christoph M. 11 Kim, Deok-Soo 11 Pyo Moon, Hwan 11 Sestini, Alessandra 11 Žagar, Emil 10 Casciola, Giulio 10 Floater, Michael S. 9 Bizzarri, Michal 9 Damiand, Guillaume 9 Deng, Chongyang 9 Hughes, Thomas J. R. 9 Kim, Gwang Il 9 Kosinka, Jiří 9 Romani, Lucia 9 Shapiro, Vadim 9 Sun, Jiaguang 9 Vršek, Jan 9 Woźny, Paweł 9 Xu, Guoliang 8 Ding, Han 8 Hamann, Bernd 8 Hu, Gang 8 Hu, Qianqian 8 Kasap, Emin 8 Kim, Myung-Soo 8 Kwon, Song-Hwa 8 Manocha, Dinesh 8 Monterde, Juan 7 Bae, Sang Won 7 Bose, Prosenjit K. 7 Choi, Hyeong In 7 Farin, Gerald E. 7 Halperin, Dan 7 Karčiauskas, Kęstutis 7 Kim, Taewan 7 Krajnc, Marjeta 7 Manni, Carla 7 Noakes, Lyle 7 Qin, Kaihuai 7 Sapidis, Nickolas S. 7 Vitrih, Vito 7 Wallner, Johannes 7 Ye, Xiuzi 7 Yong, Junhai 7 Zheng, Jianmin 7 Zhu, Limin 6 Bastl, Bohumír 6 Bazilevs, Yuri 6 Evans, John A. 6 Gao, Xiaoshan 6 Giannelli, Carlotta 6 Habib, Zulfiqar 6 Hartmann, Erich 6 Jaklič, Gašper 6 Juhász, Imre 6 Ma, Weiyin 6 Nawratil, Georg 6 Nee, A. Y. C. 6 Patrikalakis, Nicholas M. 6 Reif, Ulrich 6 Schreck, Pascal 6 Sederberg, Thomas W. 6 Sendra, Juan Rafael 6 Tan, Jieqing 6 Wang, Renhong 6 Xiong, Youlun 6 Zhang, Weihong 6 Zhu, Yuanpeng 5 Albrecht, Gudrun 5 Arnal, Ana 5 Barton, Michael H. 5 Beccari, Carolina Vittoria 5 Bloor, Malcolm I. G. 5 Cao, Huanxin 5 Cheng, Fuhua 5 Conti, Costanza 5 Deng, Jiansong 5 Dufourd, Jean-François 5 Düldül, Mustafa 5 Fogel, Efi 5 Gonzalez-Vega, Laureano ...and 2,870 more Authors
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#### Cited in 253 Journals

 460 Computer Aided Geometric Design 136 International Journal of Production Research 132 Journal of Computational and Applied Mathematics 69 Applied Mathematics and Computation 60 Computer Methods in Applied Mechanics and Engineering 55 International Journal for Numerical Methods in Engineering 51 International Journal of Computational Geometry & Applications 40 Computational Geometry 30 International Journal of Shape Modeling 27 Computers & Mathematics with Applications 26 Computing 24 Mathematical Problems in Engineering 22 Journal of Computer Science and Technology 22 Engineering Computations 19 Applied Mathematics. Series B (English Edition) 19 Advances in Computational Mathematics 19 Journal of Zhejiang University. Science A 18 International Journal of Computer Mathematics 17 European Journal of Operational Research 16 Numerical Algorithms 15 Journal of Symbolic Computation 13 Journal of Computational Physics 13 Theoretical Computer Science 13 Computational Mechanics 13 Mathematical and Computer Modelling 13 Applied Mathematical Modelling 13 Structural and Multidisciplinary Optimization 12 Mathematics and Computers in Simulation 11 Engineering with Computers 11 Pattern Recognition 11 Computational and Applied Mathematics 11 Mathematics in Computer Science 10 Mechanism and Machine Theory 9 Advances in Engineering Software 9 Communications in Numerical Methods in Engineering 9 Science in China. Series F 9 Science China. Technological Sciences 8 Applied Numerical Mathematics 8 Mathematical Geosciences 7 Artificial Intelligence 7 BIT 7 Journal of Approximation Theory 7 Journal of Scientific Computing 7 Journal of Mathematical Imaging and Vision 7 SIAM Journal on Scientific Computing 7 Journal of Applied Mathematics 6 Mathematics of Computation 6 Results in Mathematics 6 ACM Transactions on Graphics 6 Constructive Approximation 6 Algorithmica 6 Computers & Operations Research 6 Multibody System Dynamics 6 Computational Geosciences 6 Journal of Systems Science and Complexity 5 Discrete Applied Mathematics 5 RAIRO. Modélisation Mathématique et Analyse Numérique 5 Applied Mathematics Letters 5 Applicable Algebra in Engineering, Communication and Computing 5 Engineering Analysis with Boundary Elements 5 Reliable Computing 5 Journal of Applied Mathematics and Computing 4 Information Sciences 4 Journal of Optimization Theory and Applications 4 Meccanica 4 Discrete & Computational Geometry 4 Japan Journal of Industrial and Applied Mathematics 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Fractals 4 Annals of Mathematics and Artificial Intelligence 4 Science in China. Series E 4 Abstract and Applied Analysis 4 Journal of Zhejiang University. Science 4 Archives of Computational Methods in Engineering 4 Science China. Information Sciences 3 Acta Mechanica 3 International Journal of Mathematical Education in Science and Technology 3 International Journal for Numerical Methods in Fluids 3 Information Processing Letters 3 Mathematical Methods in the Applied Sciences 3 Journal of Geometry 3 Journal of Pure and Applied Algebra 3 Kybernetes 3 Operations Research Letters 3 Optimization 3 Annals of Operations Research 3 Journal of Global Optimization 3 Linear Algebra and its Applications 3 Computational Statistics and Data Analysis 3 International Journal of Computer Vision 3 Advances in Applied Clifford Algebras 3 Monte Carlo Methods and Applications 3 Optimization and Engineering 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 International Journal of Geometric Methods in Modern Physics 3 Inverse Problems in Science and Engineering 3 Symmetry 3 Communications in Mathematics and Statistics 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 International Journal of Modern Physics B ...and 153 more Journals
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#### Cited in 54 Fields

 1,154 Numerical analysis (65-XX) 545 Computer science (68-XX) 232 Operations research, mathematical programming (90-XX) 170 Approximations and expansions (41-XX) 141 Mechanics of deformable solids (74-XX) 133 Differential geometry (53-XX) 54 Mechanics of particles and systems (70-XX) 53 Algebraic geometry (14-XX) 53 Geometry (51-XX) 50 Convex and discrete geometry (52-XX) 43 Fluid mechanics (76-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 33 Partial differential equations (35-XX) 29 Systems theory; control (93-XX) 24 Combinatorics (05-XX) 24 Statistics (62-XX) 24 Information and communication theory, circuits (94-XX) 21 Geophysics (86-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Biology and other natural sciences (92-XX) 11 Field theory and polynomials (12-XX) 9 Optics, electromagnetic theory (78-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Commutative algebra (13-XX) 7 Real functions (26-XX) 7 Special functions (33-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Probability theory and stochastic processes (60-XX) 6 Number theory (11-XX) 6 Measure and integration (28-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Manifolds and cell complexes (57-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Algebraic topology (55-XX) 3 Quantum theory (81-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)