Abstract：
:Bayesian cue combination models have been used to examine how human observers combine information from several cues to form estimates of linear quantities like depth. Here we develop an analogous theory for circular quantities like planar direction. The circular theory is broadly similar to the linear theory but differs in significant ways. First, in the circular theory the combined estimate is a nonlinear function of the individual cue estimates. Second, in the circular theory the mean of the combined estimate is affected not only by the means of individual cues and the weights assigned to individual cues but also by the variability of individual cues. Third, in the circular theory the combined estimate can be less certain than the individual estimates, if the individual estimates disagree with one another. Fourth, the circular theory does not have some of the closed-form expressions available in the linear theory, so data analysis requires numerical methods. We describe a vector sum model that gives a heuristic approximation to the circular theory's behavior. We also show how the theory can be extended to deal with spherical quantities like direction in three-dimensional space.
journal_name
J Visjournal_title
Journal of visionauthors
Murray RF,Morgenstern Ydoi
10.1167/10.11.15subject
Has Abstractpub_date
2010-09-01 00:00:00pages
15issue
11issn
1534-7362pii
10.11.15journal_volume
10pub_type
杂志文章abstract：:Visually inferring the stiffness of objects is important for many tasks but is challenging because, unlike optical properties (e.g., gloss), mechanical properties do not directly affect image values. Stiffness must be inferred either (a) by recognizing materials and recalling their properties (associative approach) or...
journal_title：Journal of vision
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journal_title：Journal of vision
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journal_title：Journal of vision
pub_type： 杂志文章
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pub_type： 杂志文章
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pub_type： 杂志文章
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journal_title：Journal of vision
pub_type： 杂志文章
doi：10.1167/10.14.32
更新日期：2010-12-29 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
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更新日期：2012-01-01 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
doi：10.1167/12.10.3
更新日期：2012-09-06 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
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更新日期：2011-08-12 00:00:00
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更新日期：2013-02-01 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
doi：10.1167/5.2.1
更新日期：2005-02-11 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
doi：10.1167/9.11.17
更新日期：2009-10-16 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
doi：10.1167/10.13.15
更新日期：2010-11-24 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
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更新日期：2020-09-02 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
doi：10.1167/13.10.1
更新日期：2013-08-01 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
doi：10.1167/18.5.15
更新日期：2018-05-01 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
doi：10.1167/10.12.8
更新日期：2010-10-01 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
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更新日期：2018-12-03 00:00:00
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journal_title：Journal of vision
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journal_title：Journal of vision
pub_type： 杂志文章
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更新日期：2012-04-13 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
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更新日期：2020-04-09 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
doi：10.1167/6.12.3
更新日期：2006-11-28 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
doi：10.1167/11.13.10
更新日期：2011-11-09 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
doi：10.1167/10.8.5
更新日期：2010-07-01 00:00:00
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pub_type： 杂志文章
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更新日期：2016-12-01 00:00:00
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journal_title：Journal of vision
pub_type： 杂志文章
doi：10.1167/17.1.15
更新日期：2017-01-01 00:00:00
