A theory of incremental circle transform and its application for pose determination of two-dimensional objects

1999 ◽  
Vol 20 (14) ◽  
pp. 1477-1488 ◽  
Author(s):  
Bum-Jae You ◽  
Zeungnam Bien ◽  
Hiyoung Lee
Keyword(s):  
Two Dimensional ◽  
Pose Determination

scholarly journals Pose determination of a blade implant in three dimensions from a single two-dimensional radiograph

2018 ◽  
pp. 20170258 ◽  
Author(s):  
Paolo Toti ◽  
Antonio Barone ◽  
Simone Marconcini ◽  
Giovanni Battista Menchini-Fabris ◽  
Ranieri Martuscelli ◽  
...  
Keyword(s):  
Three Dimensions ◽  
Two Dimensional ◽  
Pose Determination

scholarly journals Geometrical four-point functions in the two-dimensional critical Q-state Potts model: the interchiral conformal bootstrap

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yifei He ◽  
Jesper Lykke Jacobsen ◽  
Hubert Saleur
Keyword(s):  
Potts Model ◽  
Correlation Functions ◽  
Liouville Theory ◽  
Analytical Determination ◽  
Conformal Weight ◽  
Two Dimensional ◽  
Conformal Blocks ◽  
Conformal Bootstrap ◽  
Point Correlation

Abstract Based on the spectrum identified in our earlier work [1], we numerically solve the bootstrap to determine four-point correlation functions of the geometrical connectivities in the Q-state Potts model. Crucial in our approach is the existence of “interchiral conformal blocks”, which arise from the degeneracy of fields with conformal weight hr,1, with r ∈ ℕ*, and are related to the underlying presence of the “interchiral algebra” introduced in [2]. We also find evidence for the existence of “renormalized” recursions, replacing those that follow from the degeneracy of the field $$ {\Phi}_{12}^D $$ Φ 12 D in Liouville theory, and obtain the first few such recursions in closed form. This hints at the possibility of the full analytical determination of correlation functions in this model.

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