DEIM Forum 2009 B1-1 Emma Focus+Glue+Context
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- きのこ はぎにわ
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1 DEIM Forum 2009 B1-1 Emma Focus+Glue+Context Emma(Elastic Mobile Map) Focus+Glue+Context. Focus+Glue+Context Focus+Context Glue Focus Context Focus Context.. (1) Focus Focus. (2) Glue. (3).. Focus+Context An Implementation Method of a Focus+Glue+Context Map in Emma Shoutarou OZEKI, Daisuke YAMAMOTO, Shinji KITAGAMI, and Naohisa TAKAHASHI Graduate School of Engineering, Nagoya Institute of Technology Gokiso, Showa, Nagoya, Japan Graduate School of Environmental Studies, Nagoya University Frou, Chikusa, Nagoya, Japan ozeki@moss.elcom.nitech.ac.jp, {daisuke,naohisa}@nitech.ac.jp, kitagami@cc.nagoya-u.ac.jp Abstract In this paper, we present an implementation method of a Focus+Glue+Context Map in Emma(Elastic Mobile Map). The Focus+Glue+Context Map can provide non-distorted Focus and Context areas by placing a Glue area between Focus and Context areas, which absorbs all the distortion. The proposed method has the following three features. (1) It dynamically generates displacement functions according to the shape of a Focus area so that users can make a focus area of any shape corresponding to a region of user interest, e.g. a user-specified district or both sides of a user-specified road. (2) It implements a road selection algorithm which generates roads suitable to a Glue area with a heavily distorted image. The algorithm selects following paths from the roads in the Focus area, which facilitates the route searching and improves the visibility of the Glue area. (3) It achieves a quick response for a request of drawing a Focus+Glue+Context map by the two functions, pre-computation and on-demand composition functions. The pre-computation function makes intermediate results of the road selection algorithm as well as map images which are commonly used for drawing user specified maps in advance. The on-demand composition function composes a Focus+Glue+Context map by combining the above images with the images which are determined by the user request and drawn with the intermediate results and other map data. We have developed a prototype of the proposed system and clarify effectivenes of the above features by experiments with the prototype. Key words Mobile Map, Cognitive Map, Focus+Context 1. Google Map Yahoo!
![zoom-in zoom-out scroll. Context Focus Focus+Context Focus Context 1 Focus Context [1] [3]. Web Emma Elastic Mobile Map [4]. Emma Web. Emma Focus+Glue+Context.](/docs-images/101/148207991/images/2-0.jpg "Focus+Context Glue Focus Context Focus Context. Focus Context. Focus+Glue+Context. Focus Focus Glue Glue (1) (2) (3) Focus+Glue+context. 1 Focus+Context Map 2.")
2 zoom-in zoom-out scroll. Context Focus Focus+Context Focus Context 1 Focus Context [1] [3]. Web Emma Elastic Mobile Map [4]. Emma Web. Emma Focus+Glue+Context. Focus+Context Glue Focus Context Focus Context. Focus Context. Focus+Glue+Context. Focus Focus Glue Glue (1) (2) (3) Focus+Glue+context. 1 Focus+Context Map 2. Focus+Glue+Context Emma Focus+Glue+Context Focus+Glue+Context Focus+Glue+Context Focus+Context. 2. a Focus Context,Glue,Focus. Focus Context Focus Context. Glue Focus-Context. Glue Focus-Context Focus-Context Glue. Fcous+Context Focus Context Glue. 2 b Focus Context. Focus Context zoom-in zoom-out scroll. Focus Context Focus+Glue+Context 1 Focus
3 道路の重なり 注目地域 注目地域 Context Glue Focus Context : 縮尺小 歪みなし Glue : 歪みあり Focus : 縮尺大 歪みなし (a) 一つの注目地域に Focus 操作を施した例注目地域注目地域地図上のオブジェクト位置関係の把握 (b) 複数の注目地域に Focus 操作を施した例 2 Emma Focus+Context+Glue Focus. Focus Glue. 2 Context Focus Glue Context. Focus Focus Context Glue Focus+Glue+Context 1. Focus A B 3 Focus 形状 C C Focus 作成の際に再配置するデータ座標点 B A C ( Focus 形状 ) のみから再配置関数を作成する機能 再配置関数 T ( Focus 形状, 再配置する座標の位置 ) の二つから座標点に合わせ動的に再配置関数を作成する機能 座標点 A 用の再配置関数 Ta 同一の再配置関数を全てのデータ座標点で使用 Focus 形状のみから一つの再配置関数を作成する従来手法 Focus 形状 Focus 形状 B A Focus 作成の際に再配置するデータ座標点 Focus 形状 座標点 B 用の再配置関数 Tb A C 再配置後 B 座標 A の位置座標 B の位置座標 C の位置 座標点 C 用の再配置関数 Tc A A B B C C Focus 形状と再配置する座標の位置から再配置関数を動的に作成する提案手法 4 1 Focus. 4 Focus Glue. 2 Glue Focus Glue Glue 3 Context Focus. 5 Glue. Focus+Glue+Context Focus.. [5]. Focus Context
4 Focus+Glue+ Context 型地図 5 L F L G P F M Glue 動的な地図合成機能地図要求時事前段階 Context Focus Focus,Context 領域画像 動的に生成した歪みを含む Glue 領域画像 注記等も含むラスタ地図 動的に描画 多数の縮尺のラスタ地図 ベクトル地図データ 注記, アイコン等 事前計算機能 描画後に回転可能な物 3 1 Focus Focusと Glue の境界を決める閉じたポリライン Glueと Context の境界を決める閉じたポリライン その Focus による拡大の中心点 (= 不動点 ) Context に対する Focusの拡大率 L F ベクトル地図データ 特徴 2. 道なりアルゴリズム Glue 道路選択機能 選択された道路の集合 各道路データの座標点 再配置関数による再配置 描画機能 7 Focus 定義データ集合 Focus 定義データ 特徴 1. 再配置関数の動的生成機能 各座標点ごとの再配置関数 Glue 画像 Focus 定義データ Focus+Glue+ Context 型マップ 特徴 3. 事前計算機能と動的な地図合成機能 不動点 8 L G l a l b P F 6 Focus 3. Emma Focus+Glue+Context Focus.. Focus 1 Focus Glue. L F L G P F L F. 6 l a, l b M P F. l a > l b M Context Focus Focus Focus Focus Context. Focus Glue. Focus. Glue. Glue Focus Context Focus+Glue+Context Focus. Focus Glue. Focus+Context+Glue. Focus Focus Focus+Context. T, r, r..
5 変形後の不動点からの距離 変形後の不動点からの距離 r β 原点 = 不動点 α (a) r 変形前の不動点からの距離 不動点 点 a α (b) β Context Glue Focus r 不動点 変形前の不動点からの距離 r 9 10 Focus+Context+Glue Map r = T (r) T 9(a). a T 9(b). Step.1 Step.2 Step.3 a α α T β (β = T (α)) a β α Focus+Context+Glue T Focus+Context+Glue T. T. T T dt/dr T. T r = T (r) T r = r dt/dr T Focus+Context+Glue Focus Context. Context Focus Context Focus Glue. Glue Focus-Glue Glue-Context. T. Focus Focus Glue Focus Context Context r = r Focus Glue Focus. P Glue k P L G P Focus (L F,L G,P F,M 1 ) P T = t i(r) (i = 1... k + 2). Step.1 P F P 11 a. l a, l b. Step.2 0 < = r < = l b l b < r < = l a r > l a 11 b. Focus,Glue,Context. Step.3 Focus t 1(r) t 1(r) = Mr (0 < = r < = l b ). Context t k+2 (r) t k+2 (r) = r (r > l a ). r l a,l b l a = l a M,l b = l b. Step.4 Glue l b < r < = l a 3. (l b, l b) (l a, l a). Focus Context Glue r = (l a + l b)/2 12. Step.5 Step.4 k. t j(r) (j = 2... k + 1). T = t i (r) (i = 1... k + 2) Focus Glue Focus
6 L G 移動対象の座標点 P L F l b l a t k+2 (r) r Focus Glue Context l a l b t j (r) (j=2...k+1) 判別の起点となる道路 L l1 L1 li L2 Li L と Li の成す角 P F t 1 (r) ln L に接続する道路 (N 本 ) LN LN-1 (a) l b (b) l a r r =l a r=r 直線 li (< lo) L Li の先の道路 Li L L1 L2 r =l b 傾きM 直線 1 ベジェ制御点 L に接続しているものとして判別に加える Glue Focus R R R 13 L L 1 L N l o α L i (i = 1 N) 1 N = 1 L 1 2 N > = 2 L L i α L i 3 L i l i < = l o L i L L i L L i L i 14. α l o Focus R Glue Focus. Step.1 Focus L F A. L G B. Step.2 A. L i(i = L a L L c b L a L b L a L c L b 実際の道路ベクトルデータ 15 1 n) R B L i. Step.3 Step.2 Focus Focus A 1 2 B A ALPSLAB [13] A,B A A (mid/mif ) ProAtlas Enterprise Server Development Kit PES. Focus+Glue+Context 17 1/25 Context 1/7 Focus. Focus,Glue,Context Focus Context L a L b
7 16 A (2). Glue Focus. Focus Context Focus. Focus 16 1/7 Context 1/2.5 Focus. Focus Context. Focus+Glue+Context B B. MAPPLE MDX Rel.4. B Focus+Glue+Context 18(b). 18(a) Focus Focus. B. 5.. Focus Glue Context Context Focus. Focus Focus+Glue+Context. A( ) B( 17 A (1) 道路にFocusを当てる (a) (b) 18 B ) Context 1/2.5 1/7 1/ B A. Focus+Glue+Context Context.
8 [s] /2.5 万 1/7 万 1/20 万 1/2.5 万 1/7 万 1/20 万 19 地域 A 地域 B 従来方式提案方式 1/2.5, 1/7 Glue 0.5 Web Web 6. Emma Fcous+Glue+Context. Focus+Context [6] Focus Focus. [7] [8].. Focus+Context [9]. Focus, Context,. Emma [7],Glue Fcous+Glue+Context. Glue Focus Context. Focus. Focus+Context [4],,. Pull. Emma Focus Context. Focus+Context [10].. Context Focus. 7. Glue Focus Emma Fcosu+Glue+Context. Emma Fcosu+Glue+Context Focus [1] Tolman. E. C, Cognitive maps in rats and men, The Psychological Review, 55 (4), , [2] Lynch, K. (1960) The Image of the City, Cambridge, MIT Press, [3] Gould. P, White. R, Mental Maps, Harmondworth, Midlesex, England: Penguin Books Ltd, [4] N. Takahashi, An Elastic Map System with Cognitive Map-Based Operations, International Perspectives on Maps and Internet Vol.1, M. P. Peterson and J. Liu (Eds), Lecture Notes in Geoinformation and Cartography, Springer-Verlag, Feb [5],,,,, DEIM2009, C2-1, [6] George W. Furnas, Generalized Fisheye Views, CHI 86, pp.16-23, [7] Manojit Sarkar, Marc H. Brown, Grapahical Fisheye views of graphs, CHI 92 Conference Proceedings, pp.83-91, [8] Manojit Sarkar, Scott S. Snibbe, Oren J. Tversky, Steven P. Reiss, Stretching the Rubber Sheet: A Metaphor for Viewing Large Layouts on Small Screens, UIST 93, November 3-5, pp.81-91, [9] L. Harrie, L. T. Sarjakoski, L. Lehto, A Mapping Function for Variable-Scale Maps in Small-Display Cartography, JGE, Vol.4, No.2, pp , [10] Lamping. J, Rao. R, Pirolli. P, A Focus+Context Technique Based on Hyperbolic Geometry for Visualizing Large Hierarchies, Proc. of Conference on Human Factors in Computing Systems (CHI 95) [11],,,, DEWS2003, 4-p-01, [12],,,,, Vol.37, No.9, [13]
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