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Distortion Varieties
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نویسنده
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Kileel Joe ,Kukelova Zuzana ,Pajdla Tomas ,Sturmfels Bernd
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منبع
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foundations of computational mathematics - 2018 - دوره : 18 - شماره : 4 - صفحه:1043 -1071
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چکیده
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The distortion varieties of a given projective variety are parametrized by duplicating coordinates and multiplying them with monomials. we study their degrees and defining equations. exact formulas are obtained for the case of one-parameter distortions. these are based on chow polytopes and gröbner bases. multi-parameter distortions are studied using tropical geometry. the motivation for distortion varieties comes from multi-view geometry in computer vision. our theory furnishes a new framework for formulating and solving minimal problems for camera models with image distortion.
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کلیدواژه
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Distortion varieties ,Toric varieties ,Image distortion ,Minimal problems ,14Q15 ,13P15 ,68T45 ,14M25 ,13P25 ,14T05 ,68U10
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آدرس
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University of California, Department of Mathematics, USA, Czech Technical University in Prague, Department of Cybernetics, Czech Republic, Czech Technical University in Prague, Czech Republic, University of California, Department of Mathematics, USA
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Authors
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