id sid tid token lemma pos sb397655n30 1 1 this this DET sb397655n30 1 2 thesis thesis NOUN sb397655n30 1 3 presents present VERB sb397655n30 1 4 the the DET sb397655n30 1 5 implementation implementation NOUN sb397655n30 1 6 of of ADP sb397655n30 1 7 a a DET sb397655n30 1 8 four four NUM sb397655n30 1 9 - - PUNCT sb397655n30 1 10 dimensional dimensional ADJ sb397655n30 1 11 triangulation triangulation NOUN sb397655n30 1 12 package package NOUN sb397655n30 1 13 . . PUNCT sb397655n30 2 1 computation computation NOUN sb397655n30 2 2 of of ADP sb397655n30 2 3 both both DET sb397655n30 2 4 basic basic ADJ sb397655n30 2 5 triangulations triangulation NOUN sb397655n30 2 6 of of ADP sb397655n30 2 7 point point NOUN sb397655n30 2 8 sets set NOUN sb397655n30 2 9 and and CCONJ sb397655n30 2 10 regular regular ADJ sb397655n30 2 11 triangulations triangulation NOUN sb397655n30 2 12 of of ADP sb397655n30 2 13 weighted weighted ADJ sb397655n30 2 14 point point NOUN sb397655n30 2 15 sets set NOUN sb397655n30 2 16 using use VERB sb397655n30 2 17 an an DET sb397655n30 2 18 incremental incremental ADJ sb397655n30 2 19 insertion insertion NOUN sb397655n30 2 20 algorithm algorithm PROPN sb397655n30 2 21 is be AUX sb397655n30 2 22 presented present VERB sb397655n30 2 23 . . PUNCT sb397655n30 3 1 the the DET sb397655n30 3 2 regular regular ADJ sb397655n30 3 3 triangulation triangulation NOUN sb397655n30 3 4 is be AUX sb397655n30 3 5 the the DET sb397655n30 3 6 dual dual NOUN sb397655n30 3 7 of of ADP sb397655n30 3 8 the the DET sb397655n30 3 9 power power NOUN sb397655n30 3 10 diagram diagram NOUN sb397655n30 3 11 , , PUNCT sb397655n30 3 12 which which PRON sb397655n30 3 13 is be AUX sb397655n30 3 14 the the DET sb397655n30 3 15 voronoi voronoi ADJ sb397655n30 3 16 diagram diagram NOUN sb397655n30 3 17 of of ADP sb397655n30 3 18 weighted weighted ADJ sb397655n30 3 19 points point NOUN sb397655n30 3 20 under under ADP sb397655n30 3 21 the the DET sb397655n30 3 22 power power NOUN sb397655n30 3 23 distance distance NOUN sb397655n30 3 24 . . PUNCT sb397655n30 4 1 the the DET sb397655n30 4 2 implementation implementation NOUN sb397655n30 4 3 follows follow VERB sb397655n30 4 4 the the DET sb397655n30 4 5 computational computational ADJ sb397655n30 4 6 geometry geometry NOUN sb397655n30 4 7 algorithms algorithm NOUN sb397655n30 4 8 library library PROPN sb397655n30 4 9 ( ( PUNCT sb397655n30 4 10 cgal cgal PROPN sb397655n30 4 11 ) ) PUNCT sb397655n30 4 12 , , PUNCT sb397655n30 4 13 and and CCONJ sb397655n30 4 14 will will AUX sb397655n30 4 15 be be AUX sb397655n30 4 16 contributed contribute VERB sb397655n30 4 17 . . PUNCT sb397655n30 5 1 a a DET sb397655n30 5 2 key key ADJ sb397655n30 5 3 part part NOUN sb397655n30 5 4 of of ADP sb397655n30 5 5 the the DET sb397655n30 5 6 package package NOUN sb397655n30 5 7 lies lie VERB sb397655n30 5 8 with with ADP sb397655n30 5 9 the the DET sb397655n30 5 10 data datum NOUN sb397655n30 5 11 structure structure NOUN sb397655n30 5 12 , , PUNCT sb397655n30 5 13 which which PRON sb397655n30 5 14 allows allow VERB sb397655n30 5 15 the the DET sb397655n30 5 16 user user NOUN sb397655n30 5 17 to to PART sb397655n30 5 18 easily easily ADV sb397655n30 5 19 traverse traverse VERB sb397655n30 5 20 the the DET sb397655n30 5 21 constructed construct VERB sb397655n30 5 22 triangulations triangulation NOUN sb397655n30 5 23 using use VERB sb397655n30 5 24 circulators circulator NOUN sb397655n30 5 25 , , PUNCT sb397655n30 5 26 enumerators enumerator NOUN sb397655n30 5 27 , , PUNCT sb397655n30 5 28 and and CCONJ sb397655n30 5 29 iterators iterator NOUN sb397655n30 5 30 . . PUNCT sb397655n30 6 1 additionally additionally ADV sb397655n30 6 2 , , PUNCT sb397655n30 6 3 the the DET sb397655n30 6 4 geometric geometric ADJ sb397655n30 6 5 predicates predicate NOUN sb397655n30 6 6 are be AUX sb397655n30 6 7 generalized generalize VERB sb397655n30 6 8 from from ADP sb397655n30 6 9 their their PRON sb397655n30 6 10 lower lower ADV sb397655n30 6 11 - - PUNCT sb397655n30 6 12 dimensional dimensional ADJ sb397655n30 6 13 counterparts counterpart NOUN sb397655n30 6 14 . . PUNCT sb397655n30 7 1 arithmetic arithmetic ADJ sb397655n30 7 2 filtering filtering NOUN sb397655n30 7 3 is be AUX sb397655n30 7 4 used use VERB sb397655n30 7 5 to to PART sb397655n30 7 6 keep keep VERB sb397655n30 7 7 the the DET sb397655n30 7 8 predicates predicate NOUN sb397655n30 7 9 exact exact ADJ sb397655n30 7 10 , , PUNCT sb397655n30 7 11 yet yet ADV sb397655n30 7 12 efficient efficient ADJ sb397655n30 7 13 . . PUNCT sb397655n30 8 1 the the DET sb397655n30 8 2 result result NOUN sb397655n30 8 3 is be AUX sb397655n30 8 4 a a DET sb397655n30 8 5 triangulation triangulation NOUN sb397655n30 8 6 package package NOUN sb397655n30 8 7 that that PRON sb397655n30 8 8 is be AUX sb397655n30 8 9 easy easy ADJ sb397655n30 8 10 to to PART sb397655n30 8 11 use use VERB sb397655n30 8 12 , , PUNCT sb397655n30 8 13 efficient efficient ADJ sb397655n30 8 14 , , PUNCT sb397655n30 8 15 and and CCONJ sb397655n30 8 16 robust robust ADJ sb397655n30 8 17 . . PUNCT