From 1dd392370afb69050f998a97e2e06a981cd1de5d Mon Sep 17 00:00:00 2001 From: Renge Date: Tue, 20 Sep 2022 13:54:10 -0400 Subject: [PATCH] add hw pdfs, fix error in hw2 --- HW1/hw1.pdf | Bin 0 -> 48748 bytes HW2/2_2_3.png | Bin 0 -> 6735 bytes HW2/HW2.html | 5 +- HW2/HW2.md | 7 +- HW2/HW2.pdf | Bin 163684 -> 170504 bytes HW2/hw2-quickhull.ipe | 107 ++++++---- HW2/hw2-quickhull.ipe.autosave.ipe | 305 +++++++++++++++++++++++++++++ HW2/hw2.pdf | Bin 0 -> 55686 bytes 8 files changed, 376 insertions(+), 48 deletions(-) create mode 100644 HW1/hw1.pdf create mode 100644 HW2/2_2_3.png create mode 100644 HW2/hw2-quickhull.ipe.autosave.ipe create mode 100644 HW2/hw2.pdf diff --git a/HW1/hw1.pdf b/HW1/hw1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..5e0d36850aaa833ceaba37f6e62033354f1c3419 GIT binary patch literal 48748 zcmeFZW0Ymvw(l7kj>xcW+qRiu+qUft+qP}nwv}PquH3KAtG7>`{qDK%-uhH+f0=Ez zwc2cJwK+z||JQpT#Iiyn)bupWki`4f7tfINEO>NyHu~m}TwJswW|odd_Ov3FdX7dy 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    1. -
    2. Wrong, counter example, c is the smallese angle but c is not a part of convex hull. +
    3. Wrong, counter example, c is the smallest angle but c is not a part of convex hull. 2_2_2
    1. -
    2. Correct, base on Akl–Toussaint heuristic, for a set of points, the one with the highest y coordinate must be a part of the convex hull.
    3. +
    4. Wrong, counter example, c is the highest point but if we include c this is not a conven hull.
      +2_2_3
  • diff --git a/HW2/HW2.md b/HW2/HW2.md index 90cd21f..f7ed383 100644 --- a/HW2/HW2.md +++ b/HW2/HW2.md @@ -65,8 +65,9 @@ - QuickHull(p7 , p3 , {p1}) - 2. - 1. Correct, this is basically the same as Graham scan. - - 2. Wrong, counter example, c is the smallese angle but c is not a part of convex hull. - ![2_2_2](2_2_2.png) - - 3. Correct, base on Akl–Toussaint heuristic, for a set of points, the one with the highest y coordinate must be a part of the convex hull. + - 2. Wrong, counter example, c is the smallest angle but c is not a part of convex hull. + ![2_2_2](2_2_2.png) + - 3. Wrong, counter example, c is the highest point but if we include c this is not a conven hull. + ![2_2_3](2_2_3.png) - 4. Correct, this is a Ellipse with same focuses but different axis. The one with longer axis must contain the one with shorter axis but not vise versa. Thus, the point with highest sum must be a part of convex hull. - 5. 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