Handling Repeated Solutions to the Perspective Three-Point Pose Problem

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dc.contributor.author Rieck, Michael Q.
dc.date.accessioned 2010-04-28T15:32:57Z
dc.date.available 2010-04-28T15:32:57Z
dc.date.issued 2010-04-28T15:32:57Z
dc.identifier.uri http://hdl.handle.net/2092/1320
dc.description.abstract In the Perspective 3-Point Pose Problem (P3P), with the three control points equidistant from each other, a repeated solution occurs when and only when a certain equation is satisfied. When the setup only approximately satisfies this equation, two nearly equal solutions can introduce substantial calculation errors. To better handle this circumstance, it may be preferable to behave as though the equation holds precisely, and invert a certain two-dimensional transformation to obtain the repeated solution. The inversion involves only a few basic arithmetic operations and square roots. This approach is much more efficient and more reliable, than the standard quartic equation approach to solving P3P, at least in this special case. en_US
dc.description.sponsorship Drake University, Department of Mathematics and Cumputer Science en_US
dc.language.iso en_US en_US
dc.relation.ispartofseries DUCURS 2010;38
dc.subject Arithmetic--Problems and exercises, etc. en_US
dc.subject Equations, Quartic en_US
dc.subject Arithmetic--Numerical solutions en_US
dc.title Handling Repeated Solutions to the Perspective Three-Point Pose Problem en_US
dc.type Presentation en_US

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  • DUCURS [196]
    Poster sessions and presentation from the Drake University Conference on Undergraduate Research in the Sciences held each April at Olmsted Center on the Drake campus.

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