Knowledge (XXG)

Spatial–temporal reasoning

Source 📝

124:
systematically explained within the theory of cognitive prism as follows: (1) the connection relation is primitive; (2) an orientation relation is a distance comparison relation: you being in front of me can be interpreted as you are nearer to my front side than my other sides; (3) a distance relation is a connection relation using a third object: you being one meter away from me can be interpreted as a one meter long object connected with you and me simultaneously.
197:) languages. Contrary to mathematical or physical theories about space and time, qualitative constraint calculi allow for rather inexpensive reasoning about entities located in space and time. For this reason, the limited expressiveness of qualitative representation formalism calculi is a benefit if such reasoning tasks need to be integrated in applications. For example, some of these calculi may be implemented for handling spatial 464: 43: 123:
A convergent result in cognitive psychology is that the connection relation is the first spatial relation that human babies acquire, followed by understanding orientation relations and distance relations. Internal relations among the three kinds of spatial relations can be computationally and
184:
spatial-temporal reasoning which is based on qualitative abstractions of temporal and spatial aspects of the common-sense background knowledge on which our human perspective of physical reality is based. Methodologically, qualitative
243:
is a Python framework for qualitative reasoning over networks of relation algebras, such as RCC-8, Allen's interval algebra, and Allen's algebra integrated with Time Points and situated in either Left- or Right-Branching
111:. The theoretic goal—on the cognitive side—involves representing and reasoning spatial-temporal knowledge in mind. The applied goal—on the computing side—involves developing high-level control systems of automata for 61: 189:
calculi restrict the vocabulary of rich mathematical theories dealing with temporal or spatial entities such that specific aspects of these theories can be treated within
164:(RCC), and the Oriented Point Relation Algebra. Recently, spatio-temporal calculi have been designed that combine spatial and temporal information. For example, the 132:
Without addressing internal relations among spatial relations, AI researchers contributed many fragmentary representations. Examples of temporal calculi include
468: 298: 237:, constraint network solver for calculi like RCC-5, RCC-8, Allen's interval algebra, point algebra, cardinal direction calculus, etc. 489: 446: 405: 311: 79: 234: 494: 30:
This article is about spatial–temporal reasoning in information technology. For spatial–temporal reasoning in psychology, see
198: 31: 165: 169: 133: 514: 484: 161: 149: 499: 153: 519: 186: 96: 264: 509: 259: 218: 181: 157: 194: 190: 108: 137: 504: 415: 380: 372: 335: 317: 112: 442: 401: 307: 222: 104: 441:. Studies in Computational Intelligence. Vol. 388. Springer-Verlag, Berlin Heidelberg. 364: 214: 100: 217:, such that reasoning can be carried out at a symbolic level. For computing solutions of a 427: 347: 279: 269: 254: 201:
queries efficiently and some may be used for navigating, and communicating with, a mobile
145: 168:(STCC) by Gerevini and Nebel combines Allen's interval algebra with RCC-8. Moreover, the 394: 274: 478: 141: 297:
Renz, J.; Nebel, B. (2007). Aiello, M.; Pratt-Hartmann, I.; van Benthem, J. (eds.).
384: 436: 368: 17: 463: 396:
Constraint propagation algorithms for temporal reasoning: A Revised Report
376: 240: 202: 438:
Recognizing Variable Environment -- The Theory of Cognitive Prism
36: 152:, Freksa's double cross calculus, Egenhofer and Franzosa's 355:
Dong, T. (2008). "A Comment on RCC: From RCC to RCC⁺⁺".
57: 300:
Qualitative Spatial Reasoning using Constraint Calculi
213:
Most of these calculi can be formalized as abstract
52:
may be too technical for most readers to understand
393: 172:(QTC) allows for reasoning about moving objects.. 128:Fragmentary representations of temporal calculi 8: 392:Vilain, M.; Kautz, H.; van Beek, P. (1987). 180:An emphasis in the literature has been on 140:. The most prominent spatial calculi are 80:Learn how and when to remove this message 64:, without removing the technical details. 193:fragments with simple qualitative (non- 423: 413: 343: 333: 62:make it understandable to non-experts 7: 119:Influence from cognitive psychology 166:spatiotemporal constraint calculus 115:and understanding time and space. 25: 462: 41: 170:qualitative trajectory calculus 27:Area of artificial intelligence 400:. Morgan Kaufmann Publishers. 357:Journal of Philosophical Logic 99:that draws from the fields of 1: 154:4- and 9-intersection calculi 136:, and Vilain's & Kautz's 32:Spatial visualization ability 150:cardinal direction calculus 536: 469:Spatial–temporal reasoning 223:path-consistency algorithm 93:Spatial–temporal reasoning 29: 369:10.1007/s10992-007-9074-y 162:region connection calculi 490:Knowledge representation 176:Quantitative abstraction 142:mereotopological calculi 134:Allen's interval algebra 97:artificial intelligence 495:Educational psychology 265:Diagrammatic reasoning 225:is an important tool. 260:Commonsense reasoning 471:at Wikimedia Commons 109:cognitive psychology 219:constraint network 158:flip-flop calculus 515:Spatial cognition 485:Cognitive science 467:Media related to 435:Dong, T. (2012). 215:relation algebras 105:cognitive science 90: 89: 82: 16:(Redirected from 527: 466: 452: 431: 425: 421: 419: 411: 399: 388: 351: 345: 341: 339: 331: 329: 328: 322: 316:. Archived from 305: 209:Relation algebra 101:computer science 85: 78: 74: 71: 65: 45: 44: 37: 21: 535: 534: 530: 529: 528: 526: 525: 524: 500:Logical calculi 475: 474: 459: 449: 434: 422: 412: 408: 391: 354: 342: 332: 326: 324: 320: 314: 303: 296: 293: 288: 280:Visual thinking 270:Spatial ability 255:Cerebral cortex 251: 231: 211: 178: 130: 121: 86: 75: 69: 66: 58:help improve it 55: 46: 42: 35: 28: 23: 22: 15: 12: 11: 5: 533: 531: 523: 522: 520:Space and time 517: 512: 507: 502: 497: 492: 487: 477: 476: 473: 472: 458: 457:External links 455: 454: 453: 447: 432: 406: 389: 363:(2): 319–352. 352: 312: 292: 289: 287: 284: 283: 282: 277: 275:Temporal logic 272: 267: 262: 257: 250: 247: 246: 245: 238: 230: 227: 210: 207: 177: 174: 129: 126: 120: 117: 95:is an area of 88: 87: 49: 47: 40: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 532: 521: 518: 516: 513: 511: 508: 506: 503: 501: 498: 496: 493: 491: 488: 486: 483: 482: 480: 470: 465: 461: 460: 456: 450: 448:9783642240577 444: 440: 439: 433: 429: 417: 409: 407:1-55860-095-7 403: 398: 397: 390: 386: 382: 378: 374: 370: 366: 362: 358: 353: 349: 337: 323:on 2007-06-27 319: 315: 313:9781402055867 309: 302: 301: 295: 294: 290: 285: 281: 278: 276: 273: 271: 268: 266: 263: 261: 258: 256: 253: 252: 248: 242: 239: 236: 233: 232: 228: 226: 224: 220: 216: 208: 206: 204: 200: 196: 192: 188: 183: 175: 173: 171: 167: 163: 159: 155: 151: 147: 143: 139: 138:point algebra 135: 127: 125: 118: 116: 114: 110: 106: 102: 98: 94: 84: 81: 73: 63: 59: 53: 50:This article 48: 39: 38: 33: 19: 510:Time in life 437: 395: 360: 356: 325:. Retrieved 318:the original 306:. Springer. 299: 212: 179: 156:, Ligozat's 131: 122: 92: 91: 76: 70:October 2012 67: 51: 18:Visuospatial 424:|work= 344:|work= 182:qualitative 479:Categories 327:2007-03-01 291:References 187:constraint 160:, various 113:navigating 505:Reasoning 426:ignored ( 416:cite book 346:ignored ( 336:cite book 191:decidable 377:41217909 249:See also 241:qualreas 229:Software 385:6243376 56:Please 445:  404:  383:  375:  310:  221:, the 195:metric 107:, and 381:S2CID 373:JSTOR 321:(PDF) 304:(PDF) 286:Notes 244:Time. 203:robot 146:Frank 443:ISBN 428:help 402:ISBN 348:help 308:ISBN 365:doi 235:GQR 199:GIS 148:'s 60:to 481:: 420:: 418:}} 414:{{ 379:. 371:. 361:34 359:. 340:: 338:}} 334:{{ 205:. 144:, 103:, 451:. 430:) 410:. 387:. 367:: 350:) 330:. 83:) 77:( 72:) 68:( 54:. 34:. 20:)

Index

Visuospatial
Spatial visualization ability
help improve it
make it understandable to non-experts
Learn how and when to remove this message
artificial intelligence
computer science
cognitive science
cognitive psychology
navigating
Allen's interval algebra
point algebra
mereotopological calculi
Frank
cardinal direction calculus
4- and 9-intersection calculi
flip-flop calculus
region connection calculi
spatiotemporal constraint calculus
qualitative trajectory calculus
qualitative
constraint
decidable
metric
GIS
robot
relation algebras
constraint network
path-consistency algorithm
GQR

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.