A multigranular spatiotemporal data model

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A Multigranular Spatiotemporal Data Model Elena Camossi Michela Bertolotto Elisa Bertino Giovanna Guerrini ABSTRACT Categories and Subject Descriptors Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise, to republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. GIS’03, November 7–8, 2003, New Orleans, Louisiana, USA. Copyright 2003 ACM 1-58113-730-3/03/0011 ... 5.00. General Terms Keywords 1. INTRODUCTION

Transcript of A multigranular spatiotemporal data model

A Multigranular Spatiotemporal Data Model�

Elena Camossi�

Michela Bertolotto�

Elisa Bertino�

Giovanna Guerrini�

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ABSTRACTZ\[�]^�_&`baV`�^�c�`�d�e�]&_&`bf&g�hi]e�]kjl]&di]&_C`�hnm�on]qp&]^�rG`�eTosf&g�htrvu=`�^�w`�d0eA]aiat[�rGc?]1e�rGfCdshtf&jl]&rGdix�yi]&x5x�aN]1e�rGf&e�`�jbaVf^�]&[zc�yN]1^�]&c�e�`�^�r�x{e�rGc�x�|} dtgDf&^�e�~idi]e�`�[vo��e�^�]Ch3rGe�rGf&dN]&[t_C`�f&_&^�]aiyirGc?][NrGdtgDf&^�jl]e�rGf&d�x{o3x{e�`�jbxh3f�difeA]&[G[Gf?��g�f^�]&d�`?]x{oq^�`�at^�`�x�`�d�e�]1e�r�f&d�f&gze�`�jbaVf&^�][z]x�aV`�c�e�xfg%x�ai]e�r�]&[Lht]e�]0|���f^�`�f1pI`�^?�Ve�yi`�o�htfldtf&e4~tx�~N][�[vo�x�~taiaVf^�e�e�yt`^�`�at^�`�x�`�d�e�]1e�r�f&d�f&g5ht]e�]�]1e�j�~i[ve�rGai[G`�[G`�pC`�[Gx�fg�_&^�]d3~t[�]^�rve�o�|k��de�ytrGx4aN]aV`�^4��`�at^�`�x�`�d�e�]lj�~t[ve�r�_^�]&d0~i[�]1^�x�aN]1e�r�fe�`�jbaVf&^�][�hi]e�]jbf0h3`�[�|"�R~t^"jbf0ht`�[i`��0e�`�dNh3x"e�yi`R�R������jbf0ht`�[i�5rve�ykj�~t[Ge�rGat[�`x�ai]e�r�]&[�]&dih�e�`�jbaVf&^�][V_&^�]&d0~t[�]1^�rve�r�`�x�|%�Tdkai]^�e�rGc�~t[�]1^?�te�yt`�jbf0h3`�[][G[�f?�5xOgDf&^�]d�~idtrGgDf&^�j�jl]&di]&_&`�jb`�d�e#f&g0e��%fA�0rGdNh3x=f&g3x�aN]1e�r�fe�`�j�waVf^�]&[LfCm0�{`�c�e�x������&�?���0 s¡��t¢���¢���¡�£�¤�`C| _t|�c?]1^�x���at[�]&di`�x��z`�e�c&| ¥¦]&dNh¢T¡���§3�&¨�©&ª��b©�§N£A¤�r+| `C�tjl]&atx%^�`�a3^�`�x�`�d�e�rGdi_�e�yt`4c�yN]&dt_C`4f1pI`�^�e�rGjb`fg�]s_&rGpI`�d�_C`�fC_&^�]aiytr�c�]^�`?]C¥�|n�Te�]&[Gx�f¦a3^�f1p3r�h3`�x�]�g�^�]&jb`��%f&^��gDf&^�jl]aiairGdt_ke�yt`�jbf1pI`�jb`�d�eAf&g�]&dn`�d�e�rve�osx�~ic�yn]&x�]kc?]^�f&d0e�f]d«~idiht`�^�[vo3rGdi_q_C`�f&_&^�]&atyirGck]^�`?]0|�¬�yt`�jbf0ht`�[��%`bat^�fCaVf&x�`�^�`�w[GrG`�x�fCdb]�x{e�]&dNht]^�h�h3`�­Ndtrve�r�f&d�f&gie�`�jbaVf&^�][t_^�]&d0~i[�]^�rveTo�|��Rd�e�yt`fe�yi`�^%yN]dNh#�&e�yi`�^�`�a3^�`�x�`�d�e�]e�rGfCdbfg#x�aN]e�r�][V`�d�e�rGe�rG`�x"]e%j�~t[Ge�rGat[�`_^�]&d0~i[�]1^�rGe�rG`�xkrGxlfCmte�]rGdi`?h®m0o¯]aiai[vo3rGdi_¦jbf0ht`�[�f^�r�`�d0e�`�h°jl]&a_&`�di`�^�]&[GrG±?]e�rGfCdsa3^�r�dtc�rGai[G`�x�|L�Td�aN]1^�e�rGc�~i[�]^?�3��`�c�fCdix�r�h3`�^A]�x�`�e5fg_&`�di`�^�]&[GrG±?]e�rGfCd®fCaV`�^�]e�f&^�x�e�yN]1e�_&~N]^�]d�e�`�`be�fCaVfC[Gf&_CrGc?]&[�c�fCdix�rGx{we�`�dic�o�|

Categories and Subject Descriptors² | ³0|G´®µ ¶k·i¸�·t¹O·Nº�»�¼�·N½�·i¾N»t¿¦»3½=¸�À+�«Á#fC_CrGc?][4�4`�x�rG_&d�� ÂÄÃ�©&¢�©���?Å�¡�ª £Æ ² | ³�| Ç�µ ¶k·i¸�·t¹O·Nº�»�¼�·i½z·i¾N»t¿¦»3½=¸�À+�#Áz]di_C~i]&_&`�x�ÂÄÃ�Ã�È�ÉÊ%Ë ¡�¨�ÌͪG©&��  Ë ©� �¡�£&Æ ² | ³0| Îϵ ¶q·t¸�·i¹z·Nº�»Ð¼�·N½z·t¾N»t¿¦»3½#¸�À��sÑ0o3x{we�`�jbx�ÂÓÒ5Ô�Õ?¡�Ö�¢��¨���¡��t¢T¡�Å�ÅI©&¢�©IÔ�©&£�¡�£Æ ² | ³�| ׯµ ¶q·t¸�·i¹O·iº�»Ø¼�·i½�Ù·t¾N»t¿¦»3½#¸�À�����]e�]mN]&x�`sZAaiat[�rGc?]1e�rGfCdix�ÂÐÚC§3©¢��+©Cª�ÅI©&¢�©IÔ�©&£�¡�£s©&�NÅÛ�Ü Ú�ÝqÞß ½�àtábâ�»tã�¾=¿¦»3½#¸�ºCäL¬�yi`��%f&^���f&g=åL[GrGx�]�æ%`�^�e�rGdif�]dNh�å�[G`�di]ç ]jbfCx�x�r�yN]&x5mV`�`�d�aN]1^�e�r�][G[Goqx�~iataVf&^�e�`?hqm0obe�yt`�å } ~idiht`�^�e�yt`�{Ñt¬éè�]&dihi]�at^�f1�{`�c�e?|s¬�yi`b�%f&^��êfg�å�[G`�di] ç ]&jbfCx�x�r%yN]&x�mV`�`�dai]^�e�r�]&[G[voqx�~iaiaVf^�e�`?hlm0o�e�yi` } dirGpI`�^�x�rveTolf&gL�R`�dif1pC]0�3�Te�]&[vo�|�¬�yt`x�~taiaVf^�e�fg�e�yi`��Td0e�`�^�dN]e�rGf&dN]&[ ç fC[G[�]&mVf^�]e�rGfCdn��dtrGe�r�]1e�r�pC`�f&g�åLdtwe�`�^�at^�rGx�`��T^�`�[�]dNh�rGxA]&[Gx�fb_&^�]1e�`�g�~t[G[Go�]&c��0dif?�5[G`?ht_&`?h#|

Permission to make digital or hard copies of all or part of this work forpersonal or classroom use is granted without fee provided that copies arenot made or distributed for profit or commercial advantage and that copiesbear this notice and the full citation on the first page. To copy otherwise, torepublish, to post on servers or to redistribute to lists, requires prior specificpermission and/or a fee.GIS’03, November 7–8, 2003, New Orleans, Louisiana, USA.Copyright 2003 ACM 1-58113-730-3/03/0011 ... ë 5.00.

General Terms�4`�x�rG_&d��=Ñ�e�]&dihi]^�h3rG±?]e�rGfCd#�NÁ�]&dt_C~N]_C`�x

KeywordsÑ3ai]e�rGf&e�`�jbaVf&^�]&[%hi]1e�]&mN]x�`�x��Lx�aN]1e�r�]&[�]dNh¦e�`�jbaVf^�]&[�_&^�]d3~t[�]^�rvwe�rG`�x��Nj�~i[ve�rv^�`�x�fC[G~3e�r�f&d��tj�~t[Ge�rv^�`�a3^�`�x�`�d�e�]e�rGf&d

1. INTRODUCTIONì `�c�`�d�e�[vo��Vrve4yi]&x4mV`�`�dn`�x{e�r�jl]1e�`?h�e�yN]1e�×&íIîïfg�][G[L]1p&]&rG[�]&mt[G`hi]1e�]�yi]1pC`�x�ai]e�r�]&[#c�yi]^�]c�e�`�^�rGx{e�rGc�x�|�Z�e"e�yi`Rx�]jb`�e�rGjb`C�3]�[�fe5f&gf&^�_C]&dtr�±�]e�rGfCdtx�yN]?pI`�^�`?]&[GrG±�`?h�e�yt`ArGjbaVf^�e�]&dic�`�fg�`��tat[GfCrve�rGdi_�e�yi`x�aN]1e�r�]&[zc�fCjbaVfCdt`�d�e5f&gLht]e�]0�tgDf&^�aV`�^�g�f^�jbr�dt_�x{e�]e�rGx{e�rGc?][�]&di]&[vo0wx�rGx��O^�`�aVf^�e�r�dt_t�z`�e�cC|kZ�x�]kc�fCdtx�`?ð�~i`�dtc�`C�OrGd«jl]d�os]&atai[GrGc?]e�rGfCdc�f&d0e�`��3e�x��e�yi`�^�`�r�xOe�yt`�di`�`?h�e�f�]&hih�x�aN]e�r�][3gD~idic�e�r�f&dN][�rveTo�e�f�`��0wrGx{e�rGdi_kdifCd3w�x�aN]e�r�][Lhi]e�]0| } d3g�f&^�e�~tdN]1e�`�[vo��Ne�yirGx4rGx�]bdif&dtw+e�^�rGp0r�][e�]&x����5yt`�d�eT��f4h3rvu=`�^�`�d�eLx{o3x{e�`�jbxOyN]?pI`�e�fRmV`�~tx�`?h#�&fCdt`%e�fRyi]&d3wht[G`�x�aN]1e�r�][3hi]e�]5]dNh4e�yi`�f&e�yt`�^ze�f5jl]&di]&_&`"dtfCdtw�x�ai]e�r�]&[0ht]e�]3�&]xrve�yN]&ataV`�dix��5yt`�d�~ix�rGdt_Re�^�]Ch3rGe�rGf&dN]&[N�R��Ñ�x{o3x{e�`�jbx�|z��diht`�`?h=�Ce�^�]1whtrve�rGfCdi]&[z�R��Ñk]&aiat[Gr�c�]e�rGfCdtxAx{e�f^�`�x�aN]1e�r�][z]dNhkdifCd3w�x�aN]e�r�][�ht]e�]]e�e�^�rGmt~te�`�xAx�`�aN]1^�]e�`�[vo=�"~ix�~N][G[Go�x�aN]1e�r�][zf&m3��`�c�e�xRa3^�fCaV`�^�e�rG`�x�]^�`x{e�f&^�`�h�rGdq­N[G`�x5jl]dN]&_&`?hqm�oq]�­i[G`�jl]&dN]_C`�jb`�d0e�x{otx{e�`�j��3�5ytrG[�`]e�e�^�rGmt~te�`�ht]e�]4]1^�`Ax{e�f^�`?h�rGdb]�c�fCjbjb`�^�c�r�][3hi]e�]mN]x�`C|"Ñ3~tc�y�]&d]&atat^�fC]&c�y��Ve�yN]1eR�%`�^�`�gD`�^4e�fk]&x�ªG�?�&£�¡�ª Ì�Ö�� Ë §Vª�¡�Å�©�§C§N¨��?©IÖ�ñsµG´�×À+�yN]x�e�yi`bh0^�]?�5mi]&c���e�yN]e�jl]rGd0e�]rGdirGdi_�ht]e�]kr�d�e�`�_^�rve�o¦mV`�e��%`�`�dx�aN]1e�r�]&[3]&dih�]1e�e�^�r�mt~te�`"hi]1e�]�rGx�htrvòbc�~i[veL]&x�e�yi`"eT��f5e�o3aV`�xOfgNht]e�]]^�`ldtf&e�jl]&dN]_C`?h«m�ose�yi`lx�]jb`b`�di_&r�dt`C|nåLjb`�^�_CrGdi_sht]e�]mN]&x�`at^�f0h3~ic�e�x��z[Gr��C`k��^�]&c�[G`qÑ3ai]e�r�]&[Aµ ³&ÇÀ�]&dNh¦èOfCx{e�_^�`�xqµ ³&ó1À+��g�f&[�[Gf?�]&d�rGd�e�`�_&^�]1e�`?h�]aiat^�fC]&c�y�gDf&^Ljl]dN]&_&rGdi_Ax�aN]e�r�][t]dNh�dif&dtw�x�aN]1e�r�][rGdtgDf&^�jl]e�rGf&d��"at^�f1p0r�h3rGdi_�e�yi`krGdtg�f^�jl]e�rGfCdÍrGdtg�^�]&x{e�^�~tc�e�~t^�`ke�yN]erGdic�[G~iht`�xR]kx�rGdi_&[G`�hi]1e�]&mi]&x�`�x{otx{e�`�jïgDf&^�jl]dN]&_&rGdi_lmVf&e�y�e�o3aV`�xf&gzhi]1e�]3|"ZRhthtrGdi_�x�ai]e�r�]&[VgD~idic�e�r�f&dN][�rveTobe�f�[G`�_C]&c�okht]e�]�]&[v^�`?]Ch0ox{e�f&^�`�hqrGd�]�e�^�]Ch3rGe�rGf&dN]&[#��æ���ÑlrGx�`?]&x�rG`�^Arvgze�yt`4x�aN]1e�r�][=c�fCjbaVfwdi`�d0e5c�]&d�mV`4rGd�e�`�_^�]e�`?h�rGd�]�yifCjbf&_C`�dt`�fC~tx���]�o�|ô ~3^�e�yi`�^�jbf^�`C��x�rGdic�`¦�R�{Ñ°]^�`sjl]&rGd¯jb`�jbf&^�o¯]&atai[GrGc?]e�rGf&dix��e�yi`�oêh3f�dtf&e�]Ch3`?ð�~N]e�`�[Gonjl]dN]&_&`�^�`?]["e�rGjb`�~ia=ht]e�`�x�fg�[�]^�_&`

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interface GeometricFeature

implements

Point

x,y

Line

List{Point,Type}

Region

List{Line}

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