䫔 䫔⚃䭨ˣ䨢攻↮㜸ᷳ䳸㝄

ᶲᶨ䭨⮯⎬倂句䨢攻⊾炻᷎ᶼὅ䄏㇨Ⱄ㮷㕷忚埴夾奢⊾炻䃞侴⽆䳸㝄⎗䘤䎦 ᶵ⭡㖻䓙⚾ᷕ䚳↢倂句溆ỵ冯㮷㕷攻䘬斄Ὢ炻℞⍇⚈Ἦ冒㕤暋ẍ䓐夾奢⊾㕡⺷⇌

㕟⎬㮷㕷䘬倂句㗗⏎佌倂ˤ⚈㬌㍍ᶳἮẍ䨢攻↮㜸㕡㱽炻德忶慷⊾㊯㧁妶婾倂句

↮Ự冯㮷㕷䳬䷼攻䘬斄Ὢˤ䫔ᶱ䪈⶚娛䳘婒㖶㛔䞼䨞㍉䓐ᷳ䨢攻↮㜸㕡㱽烉忳䓐 Concave Hull 䔓⭂⎬㮷㕷倂句↮Ự䭬⚵炻妰䬿⎬㮷㕷攻↮Ự䭬⚵䘬慵䔲㭼ἳ炻ẍ 㬌ἄ䁢慷⊾↮㜸䘬㊯㧁ˤ㍍ᶳἮ炻⮯ὅ⸷婒㖶㛔䞼䨞䨢攻↮㜸ᷳ䳸㝄ˤ

1. 㚨⎰怑ᷳ Concave Hull 倂句䭬⚵

䓙㕤ᶵ⎴㮷㕷䘬倂句↮Ự䭬⚵ᶵᶨ炻ᶼ悐↮倂句↮Ựᶲ怈暊℞Ṿ⎴㮷㕷䘬倂 句炻⚈㬌⤪ỽ䔓⭂↢怑䔞䘬倂句䭬⚵炻ẍ㬌朊䧵妰䬿ᶵ⎴㮷㕷攻䘬慵䔲朊䧵⮎䁢 慵天ⶍἄˤ㛔䞼䨞德忶䴎⭂ᶵ⎴嶅暊⍫㔠炻⼿⇘ᶵ⎴䘬 Concave Hull ⼊䉨炻ὅ㒂

⎬ Concave Hull ㇨㵝味䘬倂句溆ỵ㔠冯嶅暊⍫㔠䔓↢⎬㮷㕷䘬 XY 㔋Ự⚾炻ὅ㬌

㈦↢㚨⎰怑䘬 Concave Hull 倂句䭬⚵ˤ䔞㚚䶂嵐⎹⸛䶑炻㕄䌯㚨⮷㗪炻⌛堐䣢⛐

㚨⮷䭬⚵ℏ㵝味Ḯ㚨⣂䘬倂句溆ỵ㔠炻ḇ⯙㗗㚨傥ẋ堐䚠⎴㮷㕷ᷳ倂句↮Ự䭬

⚵ˤẍᶳ⚾Ḵ⋩军⚾ᶱ⋩䁢⎬⣏炷ᷕ炸㮷㕷ᶵ⎴嶅暊⮵㇨⏓味倂句㔠慷ᷳ XY 㔋 Ự⚾炻Ữ䓙㕤悉䣦佌⍲⵺䣦佌ᷳ⮷㮷㕷㔠慷⣒⣂炻⎬⮷㮷㕷䘬倂句㔠忶⮹炻䃉㱽 丒墥⎬⮷㮷㕷䘬 Concave Hull 倂句䭬⚵炻⚈㬌ẍᶳᷳ䨢攻↮㜸䘮ᶵ⊭⏓⮷㮷㕷ˤ 㬌⢾炻䓙㕤⵺䣦佌ᷕ㮷㕷 Bˣ悉䣦佌ᷕ㮷㕷 CˣEˣFˣG ẍ⍲悉䣦佌⣏㮷㕷 III 䘬倂句溆ỵ㔠ᶵ⇘⚃ᾳ炻䃉㱽ẍ Concave Hull 䔓↢㮷㕷䭬⚵ˤ劍倂句溆ỵ㔠ℙᶱ ᾳ炻⤪悉䣦佌ᷕ㮷㕷 CˣE炻⇯䚜㍍ẍ Convex Hull ⮯ᶱ溆忋䶂䁢ᶱ奺⼊烊劍倂句 溆ỵ㔠⮷㕤ㆾ䫱㕤ℑᾳ炻⤪悉䣦佌ᷕ㮷㕷 Gˣ悉䣦佌⣏㮷㕷 III ẍ⍲⵺䣦佌ᷕ㮷㕷 B炻䃉㱽䓙溆屯㕁丒墥ㆸ朊屯㕁炻㓭㌺昌㕤↮㜸ᷳ⢾ˤ

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⚾ Ḵ⋩ˣ⵺䣦佌⣏㮷㕷 I 倂句ᾳ㔠冯嶅暊⍫㔠 XY 㔋Ự⚾

⚾ Ḵ⋩ᶨˣ⵺䣦佌ᷕ㮷㕷 A 倂句ᾳ㔠冯嶅暊⍫㔠 XY 㔋Ự⚾

⚾ Ḵ⋩Ḵˣ⵺䣦佌ᷕ㮷㕷 C 倂句ᾳ㔠冯嶅暊⍫㔠 XY 㔋Ự⚾

⚾ Ḵ⋩ᶱˣ⵺䣦佌ᷕ㮷㕷 D 倂句ᾳ㔠冯嶅暊⍫㔠 XY 㔋Ự⚾

⚾ Ḵ⋩⚃ˣ⵺䣦佌ᷕ㮷㕷 E 倂句ᾳ㔠冯嶅暊⍫㔠 XY 㔋Ự⚾

⚾ Ḵ⋩Ḽˣ⵺䣦佌ᷕ㮷㕷 F 倂句ᾳ㔠冯嶅暊⍫㔠 XY 㔋Ự⚾

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⚾ Ḵ⋩ℕˣ悉䣦佌⣏㮷㕷 I 倂句ᾳ㔠冯嶅暊⍫㔠 XY 㔋Ự⚾

⚾ Ḵ⋩ᶫˣ悉䣦佌⣏㮷㕷 II 倂句ᾳ㔠冯嶅暊⍫㔠 XY 㔋Ự⚾

⚾ Ḵ⋩ℓˣ悉䣦佌ᷕ㮷㕷 A 倂句ᾳ㔠冯嶅暊⍫㔠 XY 㔋Ự⚾

⚾ Ḵ⋩ḅˣ悉䣦佌ᷕ㮷㕷 B 倂句ᾳ㔠冯嶅暊⍫㔠 XY 㔋Ự⚾

⚾ ᶱ⋩ˣ悉䣦佌ᷕ㮷㕷 D 倂句ᾳ㔠冯嶅暊⍫㔠 XY 㔋Ự⚾

䓙ẍᶲ⚾Ḵ⋩军⚾ᶱ⋩炻怠㑯⎬⣏炷ᷕ炸㮷㕷㚨Ἓ Concave Hull 倂句䭬⚵ˤ 䓙㕤倂句溆ỵ䘬㊯娵ㆾ㧁姀ᶲ⎗傥↢䎦ỵ伖ᶲ䘬婌ⶖ炻⚈㬌⛐怠㑯㚨⎰怑䘬 Concave Hull 嶅暊⍫㔠㗪炻怠㑯⎬⚾ᷕ⸛䶑㚚䶂䘬嶅暊㚨⣏ῤ炻ḇ⯙㗗 y 䘬㚨⣏

ῤ炻⤪⚾Ḵ⋩ᷕ⵺䣦佌ᷕ㮷㕷 A ὧ怠㑯嶅暊⍫㔠 5100 ℔⯢䘬 Concave Hull ἄ䁢 倂句䭬⚵ˤᶳ堐⋩㔜䎮悉䣦佌⍲⵺䣦佌⎬⣏炷ᷕ炸㮷㕷 Concave Hull 䘬嶅暊㤝ῤ炻

㍍ᶳἮ⮯ẍ㬌嶅暊㰢⭂⎬⣏炷ᷕ炸㮷㕷㚨⎰怑ᷳ Concave Hull 䭬⚵炻忚ᶨ㬍忳䓐 慵䔲朊䧵䘬妰䬿䳸㝄炻⇌㕟⎬⣏炷ᷕ炸㮷㕷㗗⏎㚱䨢攻↮Ự䘬柀➇⿏ˤ

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炷ᷕ炸㮷㕷ᷳ倂句溆ỵ⍲ Concave Hull 䭬⚵炻᷎ᶼ䈡⇍㧁䣢↢塓㌺昌㕤 Concave Hull 䭬⚵⢾ᷳ倂句⎵䧙炻㕤ᶳᶨ䭨ἄ忚ᶨ㬍䘬妶婾ˤ

⚾ ᶱ⋩ᶨˣ悉䣦佌⎬⣏㮷㕷 Concave Hull 䭬⚵

⚾ ᶱ⋩Ḵˣ悉䣦佌⎬ᷕ㮷㕷 Concave Hull 䭬⚵

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⚾ ᶱ⋩ᶱˣ⵺䣦佌⎬⣏㮷㕷 Concave Hull 䭬⚵

⚾ ᶱ⋩⚃ˣ⵺䣦佌⎬ᷕ㮷㕷 Concave Hull 䭬⚵

ᶳ堐⋩ᶨ䁢⵺䣦佌⍲悉䣦佌ᷕ㮷㕷冯⣏㮷㕷䘬慵䔲朊䧵㭼ἳ炻⎗㶭㤂䚳⇘䃉 婾悉䣦佌ㆾ⵺䣦佌炻ᷕ㮷㕷䘬慵䔲朊䧵㭼ἳ䘮Ỷ㕤⣏㮷㕷炻䓂军悉䣦佌ᷕ㮷㕷䘬 慵䔲朊䧵䁢 0ˤ㬌䳸㝄ẋ堐䚠庫㕤⣏㮷㕷炻ᷕ㮷㕷䘬倂句䭬⚵㚱庫檀䘬柀➇⿏炻 ḇ⯙㗗婒炻⁛䴙ⶫ彚㕷䘬倂句庫⁦⎹㕤ὅ䄏ᷕ㮷㕷↮ⶫˤ昌㬌ᷳ⢾炻ḇ⎗ẍ㖶栗 䚳⇘悉䣦佌⎬㮷㕷䚠庫㕤⵺䣦佌⛐倂句䘬↮Ựᶲ㚱庫檀䘬佌倂⿏ˤ

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⮷㕤⣏㮷㕷烊侴悉䣦佌ᷕ㮷㕷䘬慵䔲朊䧵䓂军㗗 0炻堐䣢⎬ᷕ㮷㕷䘬 Concave Hull 䭬⚵⼤㬌䌐䩳ᶵ慵䔲炻侴⣏㮷㕷䘬慵䔲朊䧵㭼ἳ⇯⣏䲬 0.07ˤ䃉婾㗗悉䣦佌ㆾ⵺

䣦佌炻ᷕ㮷㕷䘬慵䔲朊䧵㭼ἳ䘮Ỷ㕤⣏㮷㕷炻堐䣢ᷕ㮷㕷䘬柀➇䭬⚵庫㶭㤂炻㎃