CMPS 6640/4040 Computational Geometry
Spring 16

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Slides, pictures

  • Tuesday 1/12/15: Convex hulls slides
  • Tuesday 1/19/15: binarySearch, restrictedHull, CH_runtimes, guess_h_doublingSearch, guess_h_repeatedSquaring,
  • Thursday 1/21/16: polytope_simplex_convexHull, linear_affine_convex_Combination, line, linearly_affinely_independent, plane, linear_affine_convex_Hulls,
  • Tuesday 1/26/16: Polytopes slides
    halfspaces_polytopeFaces, faces, orientationTest, representPolytopes, incidenceGraph, planarGraph, EulersFormula, EulersFormulaProof,
  • Thursday 1/28/16: DCEL example, 3D convex hull slides
    EulersTheoremPolytopeComplexity, DCEL, EulerUpperBoundThm_dDim,
  • Tuesday 2/2/16: visibleFaces_degree, expectedValue,
  • Thursday 2/4/16: Point location slides,
    lineSegmentIntersection, kirkpatricksHierarchySize, earCuttingTriangulation,
  • Thursday 2/11/16: Voronoi I slides
    VoronoiVertex, VoronoiDiagram,
  • Thursday 2/18/16: Delaunay slides
    hw1a, hw1b, hw1c, DT_RIC1, DT_RIC2, DT_RIC3, indicatorRandomVariable,
  • Tuesday 2/23/16: DT_RIC4, circumcenter, EuclideanMST_and_DT,
  • Thursday 2/25/16: Delaunay lifting map slides, More Delaunay and VD slides
    geometricSpanner, DT_t_spanner, order-k-VD, characterizationsOf_order_k_VoronoiCells, farthestSiteVD, complexity_order_k_VD, DT_VD, unitParaboloidLemma1, unitParaboloidLemma2,
  • Tuesday 3/1/16: Point-line duality slides, Point-line duality notes (by S. Har-Peled)
    unitParaboloidLemma3, unitParaboloidLemma4, arrangementLevels, DT_VD_CH_UE,
  • Thursday 3/3/16: Sweepline slides
    arrangementsOfLines, complexity, computeArrangementOfLines, hamSandwichCuts, binarySearchTree,
  • Tuesday 3/8/16: Ham-sandwich theorem slides
    computeLineArrangement, zoneTheorem, proof1, proof2, hamSandwichDual, sylvestersProblem,
  • Thursday 3/10/16: rangeSearching, ranges, halfplaneRangeQueries, rangeReportingVariant, hamSandwichCorollary_levels, hamSandwichTreeConstruction, preprocessingTime_space, query, queryAnalysis, rangeSearchingOverviewTable,
  • Tuesday 3/15/16: hw2-3, hw2-4, partitionTreeWarmup, simplicialPartition, simplicialPartitionEx, simplicialPartitionProperties, queryOverview, theorem1, partitionTreeDef, partitionTreeEx, partitionTreeEx_lemma1, bigOhInduction,
  • Thursday 3/17/16: hw3-1, hw3-2, hw3-3, bigOhInduction_partitionTreeStorage, queryAlgorithm, queryAlgorithm2, proofStart,
  • Tuesday 3/29/16: hw, proofQuerytime, proofAttempt, constructionTime, halfplane_vs_triangle_rangeQueries, cutting, canonicalSubsets, cuttingTree, query,
  • Thursday 3/31/16: cuttingTreeStorage, cuttingTreeStorageQuery, selectBelowPair, multiLevelCuttingTree, 2LevelCuttingTree, rangeSearchingOverviewTable, triangularRangeQueries,
  • Tuesday 4/4/16: motivationGeometricApprox, approximationRatio, well-separated, WSPD, WSPD_ex, WSPD_construction, diameter, diameter2, quadtrees,
  • Thursday 4/7/16: bigOhInduction, quadtree, quadtree_manyNodes, quadtreeFacts, packingLemma, packingLemma2,
  • Tuesday 4/12/16: quadtreeLevels, notation, ws_pairs, enclosingBall, analysis_start,
  • Thursday 4/14/16: wspd_spanner, wspd_analysis_1, assumption, wspd_analysis_2, wspd_analysis_3,
  • Tuesday 4/19/16: hw4a, hw4b, 3SUM_conjecture, 3SUM, n2_algorithm, 3SUM_hardness, someGeometricProblems,
  • Thursday 4/21/16: hw5a, hw5b, point_on_line, geombase, geombase2,
  • Tuesday 4/26/16: geombase-stripsCoverBox1, geombase-stripsCoverBox2, geombase-stripsCoverBox3, subquadraticAlgorithm, trick,


    Last modified by Carola Wenk,   cwenk  -at-   tulane  -dot-   edu,