Edit Profile (opens in new tab) Amenta, Nina Co-Author Distance Author ID: amenta.nina Published as: Amenta, Nina; Amenta, N. Documents Indexed: 25 Publications since 1992 1 Contribution as Editor Co-Authors: 26 Co-Authors with 20 Joint Publications 1,395 Co-Co-Authors all top 5 Co-Authors 4 single-authored 6 Choi, Sunghee 4 Bern, Marshall W. 3 Eppstein, David Arthur 2 Attali, Dominique 2 Devillers, Olivier 2 Dey, Tamal Krishna 2 Leekha, Naveen 1 Agarwal, Pankaj Kumar 1 Chambers, Erin Wolf 1 Cheong, Otfried 1 De Loera, Jesús A. 1 Emerson, Tegan H. 1 Glover, Rebecca 1 Godwin, Matthew 1 Peters, Thomas J. 1 Postarnakevich, Nicolay 1 Rojas, Carlos 1 Rote, Günter 1 Russell, Alexander C. 1 Sharir, Micha 1 Soberón, Pablo 1 St. John, Katherine 1 Teng, Shang-Hua 1 Turner, Katharine 1 Yap, Shirley Llamado 1 Ziegler, Günter Matthias all top 5 Serials 6 Discrete & Computational Geometry 3 Computational Geometry 2 International Journal of Computational Geometry & Applications 1 Information Processing Letters 1 Theoretical Computer Science 1 Journal of Algorithms all top 5 Fields 20 Computer science (68-XX) 7 Numerical analysis (65-XX) 6 Convex and discrete geometry (52-XX) 5 Operations research, mathematical programming (90-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 385 times in 302 Documents Cited by ▼ Year ▼ Surface reconstruction by Voronoi filtering. Zbl 0939.68138Amenta, N.; Bern, M. 104 1999 The power crust, unions of balls, and the medial axis transform. Zbl 0988.65015Amenta, Nina; Choi, Sunghee; Kolluri, Ravi Krishna 53 2001 A simple algorithm for homeomorphic surface reconstruction. Zbl 1152.68653Amenta, Nina; Choi, Sunghee; Dey, Tamal K.; Leekha, Naveen 33 2002 Helly-type theorems and generalized linear programming. Zbl 0819.90056Amenta, N. 26 1994 A simple algorithm for homeomorphic surface reconstruction. Zbl 1374.68636Amenta, N.; Choi, S.; Dey, T. K.; Leekha, N. 24 2000 Helly’s theorem: new variations and applications. Zbl 1383.52006Amenta, Nina; De Loera, Jesús A.; Soberón, Pablo 20 2017 Deformed products and maximal shadows of polytopes. Zbl 0916.90205Amenta, Nina; Ziegler, Günter M. 18 1999 Regression depth and center points. Zbl 1039.62058Amenta, N.; Bern, M.; Eppstein, D.; Teng, S.-H. 16 2000 Optimal point placement for mesh smoothing. Zbl 0919.65070Amenta, Nina; Bern, Marshall; Eppstein, David 16 1999 Computational topology: Ambient isotopic approximation of 2-manifolds. Zbl 1071.68097Amenta, Nina; Peters, Thomas J.; Russell, Alexander C. 11 2003 Complexity of Delaunay triangulation for points on lower-dimensional polyhedra. Zbl 1302.68272Amenta, Nina; Attali, Dominique; Devillers, Olivier 10 2007 Incremental constructions con BRIO. Zbl 1373.68423Amenta, Nina; Choi, Sunghee; Rote, Günter 9 2003 Largest placement of one convex polygon inside another. Zbl 0892.68101Agarwal, P. K.; Amenta, N.; Sharir, M. 9 1998 A short proof of an interesting Helly-type theorem. Zbl 0851.52007Amenta, N. 8 1996 Optimal point placement for mesh smoothing. Zbl 1321.68427Amenta, Nina; Bern, Marshall; Eppstein, David 5 1997 Accurate and efficient unions of balls. Zbl 1375.68119Amenta, Nina; Kolluri, Ravi Krishna 5 2000 Computational geometry software. Zbl 0907.68201Amenta, Nina 4 1997 Finding a line transversal of axial objects in three dimensions. Zbl 0829.68061Amenta, Nina 3 1992 Dihedral deformation and rigidity. Zbl 1450.65022Amenta, Nina; Rojas, Carlos 3 2020 The medial axis of a union of balls. Zbl 0991.68118Amenta, Nina; Kolluri, Ravi Krishna 3 2001 Approximating geodesic tree distance. Zbl 1184.68658Amenta, Nina; Godwin, Matthew; Postarnakevich, Nicolay; John, Katherine St. 3 2007 A tight bound for the Delaunay triangulation of points on a polyhedron. Zbl 1254.51010Amenta, Nina; Attali, Dominique; Devillers, Olivier 1 2012 Delaunay triangulation programs on surface data. Zbl 1058.65023Choi, Sunghee; Amenta, Nina 1 2002 Dihedral deformation and rigidity. Zbl 1450.65022Amenta, Nina; Rojas, Carlos 3 2020 Helly’s theorem: new variations and applications. Zbl 1383.52006Amenta, Nina; De Loera, Jesús A.; Soberón, Pablo 20 2017 A tight bound for the Delaunay triangulation of points on a polyhedron. Zbl 1254.51010Amenta, Nina; Attali, Dominique; Devillers, Olivier 1 2012 Complexity of Delaunay triangulation for points on lower-dimensional polyhedra. Zbl 1302.68272Amenta, Nina; Attali, Dominique; Devillers, Olivier 10 2007 Approximating geodesic tree distance. Zbl 1184.68658Amenta, Nina; Godwin, Matthew; Postarnakevich, Nicolay; John, Katherine St. 3 2007 Computational topology: Ambient isotopic approximation of 2-manifolds. Zbl 1071.68097Amenta, Nina; Peters, Thomas J.; Russell, Alexander C. 11 2003 Incremental constructions con BRIO. Zbl 1373.68423Amenta, Nina; Choi, Sunghee; Rote, Günter 9 2003 A simple algorithm for homeomorphic surface reconstruction. Zbl 1152.68653Amenta, Nina; Choi, Sunghee; Dey, Tamal K.; Leekha, Naveen 33 2002 Delaunay triangulation programs on surface data. Zbl 1058.65023Choi, Sunghee; Amenta, Nina 1 2002 The power crust, unions of balls, and the medial axis transform. Zbl 0988.65015Amenta, Nina; Choi, Sunghee; Kolluri, Ravi Krishna 53 2001 The medial axis of a union of balls. Zbl 0991.68118Amenta, Nina; Kolluri, Ravi Krishna 3 2001 A simple algorithm for homeomorphic surface reconstruction. Zbl 1374.68636Amenta, N.; Choi, S.; Dey, T. K.; Leekha, N. 24 2000 Regression depth and center points. Zbl 1039.62058Amenta, N.; Bern, M.; Eppstein, D.; Teng, S.-H. 16 2000 Accurate and efficient unions of balls. Zbl 1375.68119Amenta, Nina; Kolluri, Ravi Krishna 5 2000 Surface reconstruction by Voronoi filtering. Zbl 0939.68138Amenta, N.; Bern, M. 104 1999 Deformed products and maximal shadows of polytopes. Zbl 0916.90205Amenta, Nina; Ziegler, Günter M. 18 1999 Optimal point placement for mesh smoothing. Zbl 0919.65070Amenta, Nina; Bern, Marshall; Eppstein, David 16 1999 Largest placement of one convex polygon inside another. Zbl 0892.68101Agarwal, P. K.; Amenta, N.; Sharir, M. 9 1998 Optimal point placement for mesh smoothing. Zbl 1321.68427Amenta, Nina; Bern, Marshall; Eppstein, David 5 1997 Computational geometry software. Zbl 0907.68201Amenta, Nina 4 1997 A short proof of an interesting Helly-type theorem. Zbl 0851.52007Amenta, N. 8 1996 Helly-type theorems and generalized linear programming. Zbl 0819.90056Amenta, N. 26 1994 Finding a line transversal of axial objects in three dimensions. Zbl 0829.68061Amenta, Nina 3 1992 all cited Publications top 5 cited Publications all top 5 Cited by 563 Authors 16 Boissonnat, Jean-Daniel 11 De Loera, Jesús A. 11 Peters, Thomas J. 10 Lieutier, André 8 Cazals, Frédéric 8 Cohen-Steiner, David 8 Dey, Tamal Krishna 7 Amenta, Nina 7 Chazal, Frédéric 7 Devillers, Olivier 7 Soberón, Pablo 6 Attali, Dominique 6 Giesen, Joachim 6 Jordan, Kirk E. 6 Matoušek, Jiří 5 Ghosh, Arijit 5 Goaoc, Xavier 5 Guibas, Leonidas John 5 Li, Ji 5 Mérigot, Quentin 5 Sharir, Micha 5 Wintraecken, Mathijs Hubertus Maria Johannes 4 Dyer, Ramsay 4 Oudot, Steve Yann 4 Weinberger, Shmuel 3 Cheng, Siu-Wing 3 Cheong, Otfried 3 Einstein, Daniel R. 3 Fulek, Radoslav 3 Glisse, Marc 3 Grosso, Roberto D. 3 Guo, Xiaohu 3 Holmsen, Andreas F. 3 Kalai, Gil 3 Kuprat, Andrew P. 3 La Haye, Reuben N. 3 Marinelli, K. 3 Mustafa, Nabil Hassan 3 Ramos, Edgar A. 3 Rangarajan, Ramsharan 3 Roulier, John A. 3 Russell, Alexander C. 3 Sadri, Bardia 3 Thibert, Boris 3 Tóth, Csaba D. 3 Wang, Desheng 3 Wang, Wenping 3 Ziegler, Günter Matthias 3 Zint, Daniel 2 Ahn, Hee-Kap 2 Aizinger, Vadym 2 Alliez, Pierre 2 Allmaras, Steven R. 2 Bárány, Imre 2 Brazitikos, Silouanos 2 Carson, James P. 2 Cheng, Ho-Lun 2 Choi, Sunghee 2 Darmofal, David L. 2 De Castro, Pedro Machado Manhães 2 Del Pin, Facundo 2 Dillon, Travis 2 Dinh, Vu 2 Dutta, Kunal 2 Efrat, Alon 2 Estellers, Virginia 2 Freedman, Daniel Z. 2 Freitag, Lori A. 2 Galbraith, Marshall C. 2 Gao, Chao 2 Garanzha, Vladimir A. 2 Gärtner, Bernd 2 Goswami, Samrat 2 Gu, Xianfeng 2 Hagiwara, Ichiro 2 Hamann, Bernd 2 Ho, Lam Si Tung 2 Jeffs, R. Amzi 2 Jiao, Xiangmin 2 John, Matthias 2 Kobourov, Stephen G. 2 Köstler, Harald 2 Kudryavtseva, Lyudmila N. 2 Lachaud, Jacques-Olivier 2 Langerman, Stefan 2 Lee, Seungjun 2 Lew, Adrian J. 2 Liotta, Giuseppe 2 Liu, Hao 2 Liu, Yong-Jin 2 Loriot, Sebastien 2 Moore, Edward L. F. 2 Morvan, Jean-Marie 2 Ollivier-Gooch, Carl F. 2 Ortiz, Michael 2 Pan, Yiling 2 Piastra, Marco 2 Polthier, Konrad 2 Pouget, Marc 2 Preparata, Franco P. ...and 463 more Authors all top 5 Cited in 97 Serials 46 Computational Geometry 40 Discrete & Computational Geometry 22 Computer Aided Geometric Design 12 International Journal of Computational Geometry & Applications 9 International Journal for Numerical Methods in Engineering 7 Foundations of Computational Mathematics 6 Computer Methods in Applied Mechanics and Engineering 5 Theoretical Computer Science 4 Journal of Computational Physics 4 Pattern Recognition 3 Discrete Mathematics 3 The Annals of Statistics 3 Geometriae Dedicata 3 Journal of Computational and Applied Mathematics 3 Topology and its Applications 3 Advances in Applied Mathematics 3 Algorithmica 3 Computational Mathematics and Mathematical Physics 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Mathematical Imaging and Vision 3 SIAM Journal on Imaging Sciences 2 Discrete Applied Mathematics 2 Information Processing Letters 2 Mathematics of Computation 2 ACM Transactions on Mathematical Software 2 Applied Mathematics and Computation 2 Computing 2 Journal of Combinatorial Theory. Series A 2 Journal of Multivariate Analysis 2 Combinatorica 2 ACM Transactions on Graphics 2 SIAM Journal on Discrete Mathematics 2 International Journal of Computer Mathematics 2 Mathematical Programming. Series A. Series B 2 SIAM Journal on Scientific Computing 2 Bernoulli 2 International Journal of Shape Modeling 2 Applied General Topology 2 Journal of Applied and Computational Topology 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Israel Journal of Mathematics 1 Periodica Mathematica Hungarica 1 Advances in Mathematics 1 Mathematika 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Computing 1 SIAM Journal on Numerical Analysis 1 Software. Practice & Experience 1 European Journal of Combinatorics 1 International Journal of Production Research 1 Journal of Symbolic Computation 1 Probability Theory and Related Fields 1 International Journal of Approximate Reasoning 1 Journal of Scientific Computing 1 Neural Networks 1 Machine Vision and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 L’Enseignement Mathématique. 2e Série 1 European Journal of Operational Research 1 SIAM Journal on Mathematical Analysis 1 Computer Graphics Forum 1 Journal of Knot Theory and its Ramifications 1 SIAM Journal on Optimization 1 Experimental Mathematics 1 Computational Optimization and Applications 1 Applied Mathematics. Series B (English Edition) 1 Computational and Applied Mathematics 1 Top 1 Journal of Convex Analysis 1 Selecta Mathematica. New Series 1 Electronic Research Announcements of the American Mathematical Society 1 Computing and Visualization in Science 1 Journal of Combinatorial Optimization 1 Journal of Graph Algorithms and Applications 1 Computational Geosciences 1 Advances in Geometry 1 Journal of Zhejiang University. Science 1 Journal of Systems Science and Complexity 1 Journal of Machine Learning Research (JMLR) 1 Mathematical Biosciences and Engineering 1 Discrete Optimization 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Shanghai Jiaotong University (Science) 1 GAMM-Mitteilungen 1 Journal of Zhejiang University. Science A 1 Mathematics in Computer Science 1 Journal of Topology 1 Electronic Journal of Statistics 1 Algorithms 1 Science China. Technological Sciences 1 International Journal for Numerical Methods in Biomedical Engineering 1 Statistics and Computing 1 SIAM Journal on Applied Algebra and Geometry 1 Bulletin of the Hellenic Mathematical Society 1 AIMS Mathematics all top 5 Cited in 32 Fields 126 Computer science (68-XX) 125 Numerical analysis (65-XX) 78 Convex and discrete geometry (52-XX) 29 Operations research, mathematical programming (90-XX) 21 Statistics (62-XX) 18 Combinatorics (05-XX) 17 Manifolds and cell complexes (57-XX) 14 Biology and other natural sciences (92-XX) 10 Differential geometry (53-XX) 10 Algebraic topology (55-XX) 9 Geometry (51-XX) 8 Information and communication theory, circuits (94-XX) 7 Probability theory and stochastic processes (60-XX) 7 Fluid mechanics (76-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Mechanics of deformable solids (74-XX) 4 Real functions (26-XX) 4 Geophysics (86-XX) 3 Partial differential equations (35-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year