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0001 % Bibliography for "Mesh Generation and Optimal Triangulation", 0002 % by M. Bern and D. Eppstein, in the book 0003 % "Computing in Euclidean Geometry", D.-Z. Du and F.K. Hwang, eds., 0004 % World Scientific, 1992, pp. 23-90. 0005 0006 @ARTICLE(Aggarwal&89, 0007 AUTHOR = "A. Aggarwal and L. J. Guibas and J. Saxe and P.W. Shor", 0008 TITLE = "A linear time algorithm for computing the {Voronoi} diagram of 0009 a convex polygon", 0010 JOURNAL = "Disc. and Comp. Geometry", 0011 VOLUME = 4, 0012 YEAR = 1989, 0013 PAGES = "591--604") 0014 0015 @ARTICLE(Agagnostou&93, 0016 AUTHOR = "E. Anagnostou and D. Corneil", 0017 TITLE = "Polynomial-time instances of the minimum weight triangulation 0018 problem", 0019 JOURNAL = "Comp. Geometry Theory and Applications", 0020 VOLUME = 3, 0021 YEAR = 1992, 0022 PAGES = "247--259") 0023 0024 @ARTICLE(Aurenhammer91, 0025 AUTHOR = "F. Aurenhammer", 0026 TITLE = "Voronoi diagrams---a survey of a fundamental geometric data 0027 structure", 0028 JOURNAL = "ACM Computing Surveys", 0029 VOLUME = 23, 0030 YEAR = 1991, 0031 PAGES = "345--405") 0032 0033 @ARTICLE(Avis&87, 0034 AUTHOR = "D. Avis and H. {ElGindy}", 0035 TITLE = "Triangulating point sets in space", 0036 JOURNAL = "Disc. and Comp. Geometry", 0037 VOLUME = 2, 0038 YEAR = 1987, 0039 PAGES = "99--111") 0040 0041 @ARTICLE(Babuska&76, 0042 AUTHOR = "I. {Babu\v{s}ka} and A. Aziz", 0043 TITLE = "On the angle condition in the finite element method", 0044 JOURNAL = "SIAM J. Numer. Analysis", 0045 VOLUME = 13, 0046 YEAR = 1976, 0047 PAGES = "214--227") 0048 0049 @ARTICLE(Babuska&78, 0050 AUTHOR = "I. {Babu\v{s}ka} and W. C. Rheinboldt", 0051 TITLE = "A-posteriori error estimates for the finite element method", 0052 JOURNAL = "Int. J. Numer. Meth. Eng.", 0053 VOLUME = 12, 0054 YEAR = 1978, 0055 PAGES = "1597--1615") 0056 0057 @ARTICLE(Baehmann&87, 0058 AUTHOR = "P. L. Baehmann and S. L. Wittchen and M. S. Shepard and K. 0059 R. Grice and M.A. Yerry", 0060 TITLE = "Robust geometrically-based automatic two-dimensional generation", 0061 JOURNAL = "Int. J. Numer. Meth. Eng.", 0062 VOLUME = 24, 0063 YEAR = 1987, 0064 PAGES = "1043--1078") 0065 0066 @ARTICLE(Baker89, 0067 AUTHOR = "T. J. Baker", 0068 TITLE = "Automatic mesh generation for complex three-dimensional 0069 regions using a constrained {Delaunay} triangulation", 0070 JOURNAL = "Eng. with Computers", 0071 VOLUME = 5, 0072 YEAR = 1989, 0073 PAGES = "161--175") 0074 0075 @ARTICLE(Baker89b, 0076 AUTHOR = "T. J. Baker", 0077 TITLE = "Developments and trends in three-dimensional mesh generation", 0078 JOURNAL = "Appl. Numer. Math.", 0079 VOLUME = 5, 0080 YEAR = 1989, 0081 PAGES = "275--304") 0082 0083 @INPROCEEDINGS(Baker89c, 0084 AUTHOR = "T. J. Baker", 0085 TITLE = "Element quality in tetrahedral meshes", 0086 BOOKTITLE = "7th Int. Conf. on Finite Element Models in Flow Problems, 0087 Huntsville, Alabama", 0088 YEAR = 1989) 0089 0090 @INPROCEEDINGS(Baker91, 0091 AUTHOR = "T. J. Baker", 0092 TITLE = "Unstructured meshes and surface fidelity for complex shapes", 0093 BOOKTITLE = "Proc. 10th AIAA Comp. Fluid Dynamics Conf., Hawaii", 0094 YEAR = 1991) 0095 0096 @ARTICLE(Baker&88, 0097 AUTHOR = "B. S. Baker and E. Grosse and C. S. Rafferty", 0098 TITLE = "Nonobtuse triangulation of polygons", 0099 JOURNAL = "Disc. and Comp. Geometry", 0100 VOLUME = 3, 0101 YEAR = 1988, 0102 PAGES = "147--168") 0103 0104 @BOOK(Bank90, 0105 AUTHOR = "R.E. Bank", 0106 TITLE = "PLTMG User's Guide", 0107 PUBLISHER = "SIAM", 0108 YEAR = 1990) 0109 0110 @INCOLLECTION(Bank&83, 0111 AUTHOR = "R. E. Bank and A. H. Sherman and A. Weiser", 0112 TITLE = "Refinement algorithms and data structures for regular local 0113 mesh refinement", 0114 BOOKTITLE = "Scientific Computing", 0115 EDITOR = "R. Stepleman et al.", 0116 PUBLISHER = "IMACS/North-Holland", 0117 YEAR = 1983, 0118 PAGES = "3--17") 0119 0120 @INPROCEEDINGS(Barequet&94, 0121 AUTHOR = "G. Barequet and M. Sharir", 0122 TITLE = "Piecewise-linear interpolation between polygonal slices", 0123 BOOKTITLE = "Proc. 10th ACM Symp. Comp. Geometry", 0124 YEAR = 1994, 0125 PAGES = "93--102") 0126 0127 @INCOLLECTION(Barnhill77, 0128 AUTHOR = "R. E. Barnhill", 0129 TITLE = "Representation and approximation of surfaces", 0130 BOOKTITLE = "Math. Software III", 0131 EDITOR = "J. R. Rice", 0132 PUBLISHER = "Academic Press", 0133 YEAR = 1977, 0134 PAGES = "69--120") 0135 0136 @INCOLLECTION(Barnhill83, 0137 AUTHOR = "R.E. Barnhill", 0138 TITLE = "Computer aided surface representation and design", 0139 BOOKTITLE = "Surfaces in Computer Aided Geometric Design", 0140 EDITOR = "R. Barnhill and W. Boehm", 0141 PUBLISHER = "North-Holland, Amsterdam", 0142 YEAR = 1983, 0143 PAGES = "1--24") 0144 0145 @BOOK(Bartels&87, 0146 AUTHOR = "R. H. Bartels and J. C. Beatty and B. A. Barsky", 0147 TITLE = "An Introduction to Splines for Use in Computer Graphics and 0148 Modeling", 0149 PUBLISHER = "Morgan Kaufmann", 0150 YEAR = 1987) 0151 0152 @INPROCEEDINGS(Barth&89, 0153 AUTHOR = "T.J. Barth and D.C. Jespersen", 0154 TITLE = "The design and application of upwind schemes on unstructured 0155 meshes", 0156 BOOKTITLE = "Proc. AIAA 27th Aerospace Sciences Meeting, Reno", 0157 YEAR = 1989) 0158 0159 @INPROCEEDINGS(Bern93, 0160 AUTHOR = "M. Bern", 0161 TITLE = "Compatible tetrahedralizations", 0162 BOOKTITLE = "Proc. 9th ACM Symp. Comp. Geometry", 0163 YEAR = 1993, 0164 PAGES = "281--288") 0165 0166 @UNPUBLISHED(Bern&C94, 0167 AUTHOR = "M. Bern and L. P. Chew and D. Eppstein and J. Ruppert", 0168 TITLE = "Dihedral bounds for mesh generation in high dimensions", 0169 YEAR = 1994) 0170 0171 @ARTICLE(Bern&D91, 0172 AUTHOR = "M. Bern and D. Dobkin and D. Eppstein", 0173 TITLE = "Triangulating polygons without large angles", 0174 BOOKTITLE = "Proc. 8th ACM Symp. Comp. Geometry", 0175 YEAR = 1992, 0176 PAGES = "222--231") 0177 0178 @ARTICLE(Bern&Ed91, 0179 AUTHOR = "M. Bern and H. Edelsbrunner and D. Eppstein and S. Mitchell 0180 and T. S. Tan", 0181 TITLE = "Edge-insertion for optimal triangulations", 0182 JOURNAL = "Disc. and Comp. Geometry", 0183 VOLUME = 10, 0184 YEAR = 1993, 0185 PAGES = "47--65", 0186 NOTE = "Also in {\em Proc. Latin American Theoretical Informatics}, 0187 Springer-Verlag LNCS 583, 1992, pp. 46--60") 0188 0189 @ARTICLE(Bern&Ep91, 0190 AUTHOR = "M. Bern and D. Eppstein", 0191 TITLE = "Polynomial-size nonobtuse triangulation of polygons", 0192 JOURNAL = "Int. J. Comp. Geometry and Applications", 0193 VOLUME = 2, 0194 YEAR = 1992, 0195 PAGES = "241--255") 0196 0197 @INPROCEEDINGS(Bern&90, 0198 AUTHOR = "M. Bern and D. Eppstein and J.R. Gilbert", 0199 TITLE = "Provably good mesh generation", 0200 BOOKTITLE = "Proc. 31st IEEE Symp. Foundations of Computer Science", 0201 YEAR = 1990, 0202 PAGES = "231--241", 0203 NOTE = "To appear in {\em J. Comp. System Science}") 0204 0205 @ARTICLE(Bern&ET93, 0206 AUTHOR = "M. Bern and D. Eppstein and S.-H. Teng", 0207 TITLE = "Parallel construction of quadtrees and quality triangulations", 0208 BOOKTITLE = "Proc. 3rd Workshop on Algorithms and Data Structures", 0209 PUBLISHER = "Springer-Verlag, LNCS 709", 0210 YEAR = 1993, 0211 PAGES = "188--199") 0212 0213 @ARTICLE(Bern&EY91, 0214 AUTHOR = "M. Bern and D. Eppstein and F. Yao", 0215 TITLE = "The expected extremes in a Delaunay triangulation", 0216 JOURNAL = "Int. J. Comp. Geometry and Applications", 0217 VOLUME = 1, 0218 YEAR = 1991, 0219 PAGES = "79--92") 0220 0221 @ARTICLE(Bern&G91, 0222 AUTHOR = "M. Bern and J. R. Gilbert", 0223 TITLE = "Drawing the planar dual", 0224 JOURNAL = "Inform. Process. Lett.", 0225 VOLUME = 43, 0226 YEAR = 1992, 0227 PAGES = "7--13") 0228 0229 @INPROCEEDINGS(Bern&M94, 0230 AUTHOR = "M. Bern and S. Mitchell and J. Ruppert", 0231 TITLE = "Linear-size nonobtuse triangulation of polygons", 0232 BOOKTITLE = "Proc. 10th ACM Symp. Comp. Geometry", 0233 YEAR = 1994, 0234 PAGES = "221--230") 0235 0236 @ARTICLE(Bloomenthal88, 0237 AUTHOR = "J. Bloomenthal", 0238 TITLE = "Polygonization of implicit surfaces", 0239 JOURNAL = "Computer Aided Geometric Design", 0240 VOLUME = 5, 0241 YEAR = 1988, 0242 PAGES = "341--355") 0243 0244 @ARTICLE(Boissonat88, 0245 AUTHOR = "J. D. Boissonat", 0246 TITLE = "Shape reconstruction from planar cross sections", 0247 JOURNAL = "Comp. Vision, Graphics, and Image Processing", 0248 VOLUME = 44, 0249 YEAR = 1988, 0250 PAGES = "1--29") 0251 0252 @TECHREPORT(Boissonat&88, 0253 AUTHOR = "J. D. Boissonat and O. D. Faugeras and E. {Le Bras-Mehlman}", 0254 TITLE = "Representing stereo data with the {Delaunay} triangulation", 0255 NUMBER = 788, 0256 INSTITUTION = "INRIA, France", 0257 YEAR = 1988) 0258 0259 @ARTICLE(Bowyer81, 0260 AUTHOR = "A. Bowyer", 0261 TITLE = "Computing {Dirichlet} tessellations", 0262 JOURNAL = "Computer J.", 0263 VOLUME = 24, 0264 YEAR = 1981, 0265 PAGES = "162--166") 0266 0267 @ARTICLE(Brown79, 0268 AUTHOR = "K. Q. Brown", 0269 TITLE = "Voronoi diagrams from convex hulls", 0270 JOURNAL = "Inform. Process. Lett.", 0271 VOLUME = 9, 0272 YEAR = 1979, 0273 PAGES = "223--228") 0274 0275 @ARTICLE(Buratynski90, 0276 AUTHOR = "E.K. Buratynski", 0277 TITLE = "A fully automatic three-dimensional mesh generator for 0278 complex geometries", 0279 JOURNAL = "Int. J. Numer. Meth. Eng.", 0280 VOLUME = 30, 0281 YEAR = 1990, 0282 PAGES = "931--952") 0283 0284 @ARTICLE(Bykat83, 0285 AUTHOR = "A. Bykat", 0286 TITLE = "Design of a recursive, shape controlling mesh generator", 0287 JOURNAL = "Int. J. Numer. Meth. Eng.", 0288 VOLUME = 19, 0289 YEAR = 1983, 0290 PAGES = "1375--1390") 0291 0292 @BOOK(Carey&84, 0293 AUTHOR = "G. F. Carey and J. T. Oden", 0294 TITLE = "Finite Elements: Computational Aspects", 0295 PUBLISHER = "Prentice-Hall", 0296 YEAR = 1984) 0297 0298 @ARTICLE(Carey&88, 0299 AUTHOR = "G. F. Carey and M. Sharma and K. C. Wang", 0300 TITLE = "A class of data structures for 2-d and 3-d adaptive mesh 0301 refinement", 0302 JOURNAL = "Int. J. Numer. Meth. Eng.", 0303 VOLUME = 26, 0304 YEAR = 1988, 0305 PAGES = "2607--2622") 0306 0307 @BOOK(Castillo91, 0308 EDITOR = "J.E. Castillo", 0309 TITLE = "Mathematical Aspects of Numerical Grid Generation", 0310 PUBLISHER = "SIAM", 0311 YEAR = 1991) 0312 0313 @ARTICLE(Cavendish74, 0314 AUTHOR = "J. C. Cavendish", 0315 TITLE = "Automatic triangulation of arbitrary planar domains for the 0316 finite element method", 0317 JOURNAL = "Int. J. Numer. Meth. Eng.", 0318 VOLUME = 8, 0319 YEAR = 1974, 0320 PAGES = "679--696") 0321 0322 @ARTICLE(Cavendish&85, 0323 AUTHOR = "J. C. Cavendish and D. A. Field and W. H. Frey", 0324 TITLE = "An approach to automatic three-dimensional finite element 0325 mesh generation", 0326 JOURNAL = "Int. J. Numer. Meth. Eng.", 0327 VOLUME = 21, 0328 YEAR = 1985, 0329 PAGES = "329--347") 0330 0331 @ARTICLE(Chazelle84, 0332 AUTHOR = "B. Chazelle", 0333 TITLE = "Convex partitions of polyhedra: a lower bound and worst-case 0334 optimal algorithm", 0335 JOURNAL = "SIAM J. Comput.", 0336 VOLUME = 13, 0337 YEAR = 1984, 0338 PAGES = "488--507") 0339 0340 @ARTICLE(Chazelle90, 0341 AUTHOR = "B. Chazelle", 0342 TITLE = "Triangulating a simple polygon in linear time", 0343 JOURNAL = "Disc. and Comp. Geometry", 0344 VOLUME = 6, 0345 YEAR = 1991, 0346 PAGES = "485--524") 0347 0348 @INPROCEEDINGS(Chazelle&90, 0349 AUTHOR = "B. Chazelle and H. Edelsbrunner and L. J. Guibas and 0350 J. E. Hershberger and R. Seidel and M. Sharir", 0351 TITLE = "Selecting multiply covered points and reducing the size of 0352 {Delaunay} triangulations", 0353 BOOKTITLE = "Proc. 6th ACM Symp. Comp. Geometry", 0354 YEAR = "1990", 0355 PAGES = "116--127") 0356 0357 @ARTICLE(Chazelle&84, 0358 AUTHOR = "B. Chazelle and J. Incerpi", 0359 TITLE = "Triangulation and shape complexity", 0360 JOURNAL = "ACM Trans. on Graphics", 0361 VOLUME = 3, 0362 YEAR = 1984, 0363 PAGES = "135--152") 0364 0365 @ARTICLE(Chazelle&89, 0366 AUTHOR = "B. Chazelle and L. Palios", 0367 TITLE = "Triangulating a nonconvex polytope", 0368 JOURNAL = "Disc. and Comp. Geometry", 0369 VOLUME = 5, 0370 YEAR = 1990, 0371 PAGES = "505--526") 0372 0373 @INPROCEEDINGS(Chazelle&94, 0374 AUTHOR = "B. Chazelle and N. Shouraboura", 0375 TITLE = "Bounds on the size of tetrahedralizations", 0376 BOOKTITLE = "Proc. 10th ACM Symp. Comp. Geometry", 0377 YEAR = 1994, 0378 PAGES = "231--239") 0379 0380 @ARTICLE(Chew86, 0381 AUTHOR = "L. P. Chew", 0382 TITLE = "There are planar graphs almost as good as the complete graph", 0383 JOURNAL = "J. Comp. System Science", 0384 VOLUME = 39, 0385 YEAR = 1989, 0386 PAGES = "205--219") 0387 0388 @ARTICLE(Chew87, 0389 AUTHOR = "L. P. Chew", 0390 TITLE = "Constrained Delaunay triangulations", 0391 JOURNAL = "Algorithmica", 0392 VOLUME = 4, 0393 YEAR = 1989, 0394 PAGES = "97--108") 0395 0396 @TECHREPORT(Chew89, 0397 AUTHOR = "L.P. Chew", 0398 TITLE = "Guaranteed-quality triangular meshes", 0399 NUMBER = "TR-89-983", 0400 INSTITUTION = "Comp. Science Dept., Cornell University", 0401 YEAR = 1989) 0402 0403 @INPROCEEDINGS(Chew93, 0404 AUTHOR = "L.P. Chew", 0405 TITLE = "Guaranteed-quality mesh generation for curved surfaces", 0406 BOOKTITLE = "Proc. 9th ACM Symp. Comp. Geometry", 0407 YEAR = 1993, 0408 PAGES = "274--280") 0409 0410 @ARTICLE(Chiba&85, 0411 AUTHOR = "N. Chiba and T. Nishizeki", 0412 TITLE = "Arboricity and subgraph listing algorithms", 0413 JOURNAL = "SIAM J. Computing", 0414 VOLUME = 14, 0415 YEAR = 1985, 0416 PAGES = "210--223") 0417 0418 @ARTICLE(Clarkson91, 0419 AUTHOR = "K. Clarkson", 0420 TITLE = "Approximation algorithms for planar traveling salesman tours 0421 and minimum-length triangulations", 0422 BOOKTITLE = "Proc. 2nd ACM-SIAM Symp. Disc. Algorithms", 0423 YEAR = 1991, 0424 PAGES = "17--23") 0425 0426 @ARTICLE(Cline&85, 0427 AUTHOR = "A. K. Cline and R. J. Renka", 0428 TITLE = "A constrained two-dimensional triangulation and the solution 0429 of closest node problems in the presence of barriers", 0430 JOURNAL = "SIAM J. Numer. Analysis", 0431 VOLUME = 27, 0432 YEAR = 1990, 0433 PAGES = "1305--1321") 0434 0435 @ARTICLE(Dazevedo&89, 0436 AUTHOR = "E. F. {D'Azevedo} and R. B. Simpson", 0437 TITLE = "On optimal interpolation triangle incidences", 0438 JOURNAL = "SIAM J. Sci. Stat. Comput.", 0439 VOLUME = 10, 0440 YEAR = 1989, 0441 PAGES = "1063--1075") 0442 0443 @ARTICLE(DeFloriani&85, 0444 AUTHOR = "L. {De Floriani} and B. Falcidieno and C. Pienovi", 0445 TITLE = "Delaunay-based representation of surfaces defined over 0446 arbitrarily shaped domains", 0447 JOURNAL = "Computer Vision, Graphics, and Image Processing", 0448 VOLUME = 32, 0449 YEAR = 1985, 0450 PAGES = "127--140") 0451 0452 @ARTICLE(DeFloriani&88, 0453 AUTHOR = "L. {De Floriani} and B. Falcidieno and C. Pienovi and G. Nagy", 0454 TITLE = "On sorting triangles in a {Delaunay} tessellation", 0455 JOURNAL = "Algorithmica", 0456 VOLUME = 6, 0457 YEAR = 1991, 0458 PAGES = "522--532") 0459 0460 @ARTICLE(Delaunay34, 0461 AUTHOR = "B. Delaunay", 0462 TITLE = "Sur la sph\`ere vide", 0463 JOURNAL = "Izvestia Akademia Nauk SSSR, VII Seria, Otdelenie 0464 Matematicheskii i Estestvennyka Nauk", 0465 VOLUME = 7, 0466 YEAR = 1934, 0467 PAGES = "793--800") 0468 0469 @INPROCEEDINGS(Dey91, 0470 AUTHOR = "T. Dey", 0471 TITLE = "Triangulation and {CSG} representation of polyhedra with 0472 arbitrary genus", 0473 BOOKTITLE = "Proc. 7th ACM Symp. Comp. Geometry", 0474 YEAR = 1991, 0475 PAGES = "364--372") 0476 0477 @ARTICLE(Dey&91, 0478 AUTHOR = "T. Dey and C. Bajaj and K. Sugihara", 0479 TITLE = "On good triangulations in three dimensions", 0480 JOURNAL = "Int. J. Comp. Geometry and Applications", 0481 VOLUME = 2, 0482 YEAR = 1992, 0483 PAGES = "75--95") 0484 0485 @TECHREPORT(Dey&94, 0486 AUTHOR = "T. Dey and M. B. Dillencourt and S. K. Ghosh", 0487 TITLE = "Triangulating with high connectivity", 0488 NUMBER = "94-24", 0489 INSTITITION = "Dept. of Inform. and Comp. Science, UC Irvine", 0490 YEAR = 1994, 0491 NOTE = "To appear in {\em 6th Canad. Conf. Comp. Geometry}") 0492 0493 @INPROCEEDINGS(Dickerson&94, 0494 AUTHOR = "M. T. Dickerson and R. L. S. Drysdale and S. A. McElfresh 0495 and E. Welzl", 0496 TITLE = "Fast greedy triangulation algorithms", 0497 BOOKTITLE = "Proc. 10th ACM Symp. Comp. Geometry", 0498 YEAR = 1994, 0499 PAGES = "211--220") 0500 0501 @INPROCEEDINGS(Dillencourt&91, 0502 AUTHOR = "M. B. Dillencourt and W. D. Smith", 0503 TITLE = "A simple method for resolving degeneracies in {Delaunay} 0504 triangulations", 0505 BOOKTITLE = "Proc. 20th Int. Colloq. Automata, Languages and Programming", 0506 YEAR = 1993, 0507 PUBLISHER = "Springer-Verlag, LNCS 700", 0508 PAGES = "177--188") 0509 0510 @INPROCEEDINGS(Djidjev&91, 0511 AUTHOR = "H. Djidjev and A. Lingas", 0512 TITLE = "On computing the {Voronoi} diagram for restricted planar figures", 0513 BOOKTITLE = "Proc. 2nd Worksh. Algorithms and Data Structures", 0514 PUBLISHER = "Springer-Verlag, LNCS 519", 0515 YEAR = 1991, 0516 PAGES = "54--64") 0517 0518 @ARTICLE(Dobkin&87, 0519 AUTHOR = "D. Dobkin and S. Friedman and K. Supowit", 0520 TITLE = "Delaunay graphs are almost as good as complete graphs", 0521 JOURNAL = "Disc. and Comp. Geometry", 0522 VOLUME = 5, 0523 YEAR = 1990, 0524 PAGES = "399--407") 0525 0526 @ARTICLE(Dobkin&90, 0527 AUTHOR = "D. Dobkin and S. Levy and W. Thurston and A. Wilks", 0528 TITLE = "Contour tracing by piecewise linear approximations", 0529 JOURNAL = "ACM Trans. on Graphics", 0530 VOLUME = 9, 0531 YEAR = 1990, 0532 PAGES = "389--423") 0533 0534 @ARTICLE(Duppe&70, 0535 AUTHOR = {R.D. {D\"uppe} and H. J. Gottschalk}, 0536 TITLE = {Automatische Interpolation von Isolinien bei willk\"urlichen 0537 St\"utzpunkten}, 0538 JOURNAL = "Allgemeine Vermessungsnachrichten", 0539 VOLUME = 77, 0540 YEAR = 1970, 0541 PAGES = "423--426") 0542 0543 @ARTICLE(Dwyer89, 0544 AUTHOR = "R.A. Dwyer", 0545 TITLE = "Higher-dimensional {Voronoi} diagrams in linear expected time", 0546 JOURNAL = "Disc. and Comp. Geometry", 0547 VOLUME = 6, 0548 YEAR = 1991, 0549 PAGES = "343--367") 0550 0551 @ARTICLE(Dyn&90, 0552 AUTHOR = "N. Dyn and D. Levin and S. Rippa", 0553 TITLE = "Data dependent triangulations for piecewise linear interpolation", 0554 JOURNAL = "IMA J. Numer. Analysis", 0555 VOLUME = 10, 0556 YEAR = 1990, 0557 PAGES = "137--154") 0558 0559 @BOOK(Edelsbrunner87, 0560 AUTHOR = "H. Edelsbrunner", 0561 TITLE = "Algorithms in Combinatorial Geometry", 0562 PUBLISHER = "Springer-Verlag", 0563 YEAR = 1987) 0564 0565 @ARTICLE(Edelsbrunner89, 0566 AUTHOR = "H. Edelsbrunner", 0567 TITLE = "An acyclicity theorem for cell complexes in {$d$} dimensions", 0568 JOURNAL = "Combinatorica", 0569 VOLUME = 18, 0570 YEAR = 1990, 0571 PAGES = "251--260") 0572 0573 @ARTICLE(Edelsbrunner&M90, 0574 AUTHOR = {H. Edelsbrunner and E. P. {M\"ucke}}, 0575 TITLE = "Simulation of simplicity, a technique to cope with degenerate 0576 cases in geometric computations", 0577 JOURNAL = "ACM Trans. Graphics", 0578 VOLUME = 9, 0579 YEAR = 1990, 0580 PAGES = "66--104") 0581 0582 @INPROCEEDINGS(Edelsbrunner&S92, 0583 AUTHOR = "H. Edelsbrunner and N. R. Shah", 0584 TITLE = "Incremental topological flipping works for regular triangulations", 0585 BOOKTITLE = "Proc. 8th ACM Symp. Comp. Geometry", 0586 YEAR = 1992, 0587 PAGES = "43--52") 0588 0589 @INPROCEEDINGS(Edelsbrunner&S94, 0590 AUTHOR = "H. Edelsbrunner and N. R. Shah") 0591 TITLE = "Triangulating topological spaces", 0592 BOOKTITLE = "Proc. 10th ACM Symp. Comp. Geometry", 0593 YEAR = 1994, 0594 PAGES = "285--292") 0595 0596 @INPROCEEDINGS(Edelsbrunner&91, 0597 AUTHOR = "H. Edelsbrunner and T. S. Tan", 0598 TITLE = "A quadratic time algorithm for the minmax length triangulation", 0599 BOOKTITLE = "Proc. 32nd IEEE Symp. Foundations of Comp. Science", 0600 YEAR = 1991, 0601 PAGES = "414--423") 0602 0603 @ARTICLE(Edelsbrunner&92, 0604 AUTHOR = "H. Edelsbrunner and T. S. Tan", 0605 TITLE = "An upper bound for conforming Delaunay triangulations", 0606 JOURNAL = "Disc. and Comp. Geometry", 0607 VOLUME = 10, 0608 YEAR = 1993, 0609 PAGES = "197--213") 0610 0611 @ARTICLE(Edelsbrunner&86, 0612 AUTHOR = "H. Edelsbrunner and F. P. Preparata and D. B. West", 0613 TITLE = "Tetrahedrizing point sets in three dimensions", 0614 JOURNAL = "J. Symbolic Comp.", 0615 VOLUME = 10, 0616 YEAR = 1990, 0617 PAGES = "335-347") 0618 0619 @ARTICLE(Edelsbrunner&90, 0620 AUTHOR = "H. Edelsbrunner and T. S. Tan and R. Waupotitsch", 0621 TITLE = "A polynomial time algorithm for the minmax angle triangulation", 0622 JOURNAL = "SIAM J. Sci. Stat. Comp.", 0623 VOLUME = 13, 0624 YEAR = 1992, 0625 PAGES = "994--1008") 0626 0627 @ARTICLE(ElGindy&81, 0628 AUTHOR = "H. {ElGindy} and D. 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Meth.", 1443 VOLUME = 8, 1444 YEAR = 1992, 1445 PAGES = "281--290") 1446 1447 @ARTICLE(Rosenberg&75, 1448 AUTHOR = "I. G. Rosenberg and F. Stenger", 1449 TITLE = "A lower bound on the angles of triangles constructed by 1450 bisecting the longest side", 1451 JOURNAL = "Math. Comp.", 1452 VOLUME = 29, 1453 YEAR = 1975, 1454 PAGES = "390--395") 1455 1456 @INPROCEEDINGS(Ruppert93, 1457 AUTHOR = "J. Ruppert", 1458 TITLE = "A new and simple algorithm for quality 2-dimensional mesh 1459 generation", 1460 BOOKTITLE = "Proc. 4th ACM-SIAM Symp. on Disc. Algorithms", 1461 YEAR = 1993, 1462 PAGES = "83--92") 1463 1464 @ARTICLE(Ruppert&89, 1465 AUTHOR = "J. Ruppert and R. Seidel", 1466 TITLE = "On the difficulty of tetrahedralizing 3-dimensional 1467 non-convex polyhedra", 1468 JOURNAL = "Disc. and Comp. Geometry", 1469 VOLUME = 7, 1470 YEAR = 1992, 1471 PAGES = "227--253") 1472 1473 @INPROCEEDINGS(Saalfeld91, 1474 AUTHOR = "A. 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Baehmann", 1613 TITLE = "Finite octree mesh generation for automated adaptive 1614 three-dimensional flow analysis", 1615 BOOKTITLE = "Proc. 2nd Int. Conf. Numer. Grid Generation in 1616 Computational Fluid Mechanics", 1617 YEAR = 1988, 1618 PAGES = " 709--718") 1619 1620 @ARTICLE(Sibson78, 1621 AUTHOR = "R. Sibson", 1622 TITLE = "Locally equiangular triangulations", 1623 JOURNAL = "Computer J.", 1624 VOLUME = 21, 1625 YEAR = 1978, 1626 PAGES = "243--245") 1627 1628 @ARTICLE(Sleator&88, 1629 AUTHOR = "D. Sleator, R.E. Tarjan and W. Thurston", 1630 TITLE = "Rotation distance, triangulations and hyperbolic geometry", 1631 JOURNAL = "J. Amer. Math. Soc.", 1632 VOLUME = 1, 1633 YEAR = 1988, 1634 PAGES = "647--682") 1635 1636 @PHDTHESIS(Smith88, 1637 AUTHOR = "W.D. Smith") 1638 TITLE = "Studies in Discrete and Computational Geometry", 1639 SCHOOL = "Princeton University", 1640 YEAR = 1988) 1641 1642 @UNPUBLISHED(Smith89, 1643 AUTHOR = "W.D. Smith", 1644 TITLE = "Implementing the Plaisted-Hong min-length plane triangulation 1645 heuristic", 1646 YEAR = 1989, 1647 NOTE = "Manuscript cited by~\cite{Clarkson91}") 1648 1649 @TECHREPORT(Srinivasan&90, 1650 AUTHOR = "V. Srinivasan and L. R. Nackman and J.-M. Tang and S.N. Meshkat", 1651 TITLE = "Automatic mesh generation using the symmetric axis 1652 tranformation of polygonal domains", 1653 NUMBER = "RC 16132", 1654 INSTITUTION = "Comp. Science, IBM Research Division, Yorktown Heights, NY", 1655 YEAR = 1990) 1656 1657 @BOOK(Strang&73, 1658 AUTHOR = "G. Strang and G. J. Fix", 1659 TITLE = "An Analysis of the Finite Element Method", 1660 PUBLISHER = "Prentice-Hall", 1661 YEAR = 1973) 1662 1663 @INPROCEEDINGS(Tan94, 1664 AUTHOR = "T.-S. Tan", 1665 TITLE = "An optimal bound for conforming quality triangulations", 1666 BOOKTITLE = "Proc. 10th ACM Symp. Comp. Geometry", 1667 YEAR = 1994, 1668 PAGES = "240--249") 1669 1670 @ARTICLE(Tarjan&88, 1671 AUTHOR = "R. E. Tarjan and C. J. Van Wyk", 1672 TITLE = "An {$O(n \log\log n)$}-time algorithm for triangulating a 1673 simple polygon", 1674 JOURNAL = "SIAM J. Comput.", 1675 VOLUME = 17, 1676 YEAR = 1988, 1677 PAGES = "143--178") 1678 1679 @ARTICLE(Thacker80, 1680 AUTHOR = "W. C. Thacker", 1681 TITLE = "A brief review of techniques for generating irregular 1682 computational grids", 1683 JOURNAL = "Int. J. Numer. Meth. Eng.", 1684 VOLUME = 15, 1685 YEAR = 1980, 1686 PAGES = "1335--1341") 1687 1688 @BOOK(Thompson82, 1689 EDITOR = "J.F. Thompson", 1690 TITLE = "Numerical Grid Generation", 1691 PUBLISHER = "North-Holland", 1692 YEAR = 1982) 1693 1694 @BOOK(Thompson&85, 1695 AUTHOR = "J. F. Thompson and Z. U. A. Warsi and C. W. Mastin", 1696 TITLE = "Numerical Grid Generation: Foundations and Applications", 1697 PUBLISHER = "North-Holland", 1698 YEAR = 1985) 1699 1700 @INPROCEEDINGS(Toussaint&93, 1701 AUTHOR = "G. T. Toussaint and C. Verbrugge and C. Wang and B. Zhu", 1702 TITLE = "Tetrahedralization of simple and non-simple polyhedra", 1703 BOOKTITLE = "Proc. 5th Canadian Conf. Comp. Geometry", 1704 YEAR = 1993, 1705 PAGES = "24--29") 1706 1707 @BOOK(VanLaarhoven&87, 1708 AUTHOR = "P. J. M. van Laarhoven and E. H. L. Aarts", 1709 TITLE = "Simulated Annealing: Theory and Practice", 1710 PUBLISHER = "Kluwer Academic Publishers, Dordrecht, the Netherlands", 1711 YEAR = 1987) 1712 1713 @TECHREPORT(Vavasis93, 1714 AUTHOR = "S.A. Vavasis", 1715 TITLE = "Stable finite elements for problems with wild coefficients", 1716 NUMBER = "TR93-1364", 1717 INSTITUTION = "Dept. of Comp. Science, Cornell University", 1718 YEAR = 1993) 1719 1720 @INPROCEEDINGS(Wang&87, 1721 AUTHOR = "C. Wang and L. Schubert", 1722 TITLE = "An optimal algorithm for constructing the {Delaunay} triangulation 1723 of a set of line segments", 1724 BOOKTITLE = "Proc. 3rd ACM Symp. Comp. Geometry", 1725 YEAR = 1987, 1726 PAGES = "223--232") 1727 1728 @ARTICLE(Watson81, 1729 AUTHOR = "D. F. Watson", 1730 TITLE = "Computing the $n$-dimensional {Delaunay} tessellation 1731 with application to {Voronoi} polytopes", 1732 JOURNAL = "Computer J.", 1733 VOLUME = 24, 1734 YEAR = 1981, 1735 PAGES = "167--171") 1736 1737 @ARTICLE(Watson&84, 1738 AUTHOR = "D. F. Watson and G. M. Philip", 1739 TITLE = "Systematic triangulations", 1740 JOURNAL = "Computer Vision, Graphics, and Image Processing", 1741 VOLUME = 26, 1742 YEAR = 1984, 1743 PAGES = "217--223") 1744 1745 @TECHREPORT(Williams91, 1746 AUTHOR = "R.D. Williams", 1747 TITLE = "Adaptive parallel meshes with complex geometry", 1748 NUMBER = "CRPC-91-2", 1749 INSTITUTION = "Center for Research on Parallel Computation, 1750 California Inst. of Technology", 1751 YEAR = 1991) 1752 1753 @TECHREPORT(Winslow64, 1754 AUTHOR = "A.M. Winslow", 1755 TITLE = "An irregular triangle mesh generator", 1756 NUMBER = "UCXRL-7880", 1757 INSTITUTION = "National Technical Information Service, Springfield, VA", 1758 YEAR = 1964) 1759 1760 @ARTICLE(Yao82, 1761 AUTHOR = "F. F. Yao", 1762 TITLE = "Speed-up in dynamic programming", 1763 JOURNAL = "SIAM J. Algebraic and Disc. Methods", 1764 VOLUME = 3, 1765 YEAR = 1982, 1766 PAGES = "532--540") 1767 1768 @ARTICLE(Yerry&83, 1769 AUTHOR = "M. A. Yerry and M. S. Shephard", 1770 TITLE = "A modified quadtree approach to finite element mesh generation", 1771 JOURNAL = "IEEE Computer Graphics and Applications", 1772 VOLUME = 3, 1773 YEAR = "January/February 1983", 1774 PAGES = "39--46") 1775 1776 @ARTICLE(Yerry&84, 1777 AUTHOR = "M. A. Yerry and M. S. Shephard", 1778 TITLE = "Automatic three-dimensional mesh generation by the 1779 modified-octree technique", 1780 JOURNAL = "Int. J. Numer. Meth. Eng.", 1781 VOLUME = 20, 1782 YEAR = 1984, 1783 PAGES = "1965--1990")