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Transportation, Social Physics, And The Law Of Refraction
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The optimal path should follow the boundaries between cells with different values, similar to the laws of refraction in optics.
“The optimal path should therefore follow the boundaries between cells with different values, in a manner similar to the laws of refraction in optics (Warntz 1957) and to later refinements of cost-surface refraction modeling (Tomlin 2010).”
From Geospatial modeling of walking routes combing on-road and off-road movements (2026) · cites this paper as Warntz 1957
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Research works printed but not linked: 5
- Stewart John Q., 1947, Geog. Rev., 37, 461, 10.2307/211132 · DOI
- Stewart John Q., 1959, Amer. Jour. Physics, 18, 239, 10.1119/1.1932559 · DOI
- Warntz William, 1959, Jour. Amer. Stat. Assoc., 51, 597, 10.1080/01621459.1956.10501350 · DOI
- Warntz William, Toward a Geography of Price-An Attempt to Develop u Theory of Geographical Variation of Price Using Concepts Measuring the Space and Time Dimensions of Certain Economic Phenomena
- See especially Losch'sThe Economics of Location as translated into English from the original German byW. H. Woglom , New Haven: Yale University Press (1954 ) pp. 184 -186 .
Cited by
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Kay, A. (2012) · Geographical Analysis · doi:10.1111/j.1538-4632.2012.00838.x · Cited by 19
Geospatial modeling of walking routes combing on-road and off-road movements
Zaslavskaya, E. S., & Karpachevskiy, A. M. (2026) · Geography, Environment, Sustainability · doi:10.24057/2071-9388-2026-4068
Metadata
- Authors
- Warntz, W.
- Venue
- The Professional Geographer
- Publisher
- Informa UK Limited
- Published
- 1957-07
- Volume
- 9
- Issue
- 4
- Pages
- 2-7
- ISSN
- 0033-0124
- 1467-9272
- Cited by
- 36
- References
- 0
- Language
- en
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