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A Class of Rational n-WFSM Auto-intersections
[chapter]

2006
*
Lecture Notes in Computer Science
*

We define

doi:10.1007/11605157_16
fatcat:cv3huo3mt5gizi37xa7hw36i64
*a**class**of*triples*A*, i, j such that the*auto*-*intersection**of*the machine*A*w.r.t. tapes i and j can be computed by*a*delay-based algorithm. ... It is shown how to compute it via*a*more simple operation, the*auto*-*intersection*. Join and*auto*-*intersection*generally do not preserve*rationality*. ... Acknowledgments We wish to thank Mark-Jan Nederhof for pointing out the relationship between*auto*-*intersection*and Post's Correspondence Problem (personal communication), and the anonymous reviewers*of*...##
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Selected Operations, Algorithms, and Applications of n-Tape Weighted Finite-State Machines

2011
*
arXiv
*
pre-print

Unfortunately, due to Post's Correspondence Problem,

arXiv:1104.5362v2
fatcat:qshfxuj54bcvnaiiam6tf7nmry
*a*fully general join or*auto*-*intersection*algorithm cannot exist. We recall*a*restricted algorithm for*a**class**of**n*-*WFSMs*. ...*A*weighted finite-state machine with*n*tapes (*n*-*WFSM*) defines*a**rational*relation on*n*strings. It is*a*generalization*of*weighted acceptors (one tape) and transducers (two tapes). ...*A**class**of**rational**auto*-*intersections*Although there cannot exist*a*fully general algorithm,*A*(*n*) = σ {i=j} (*A*(*n*) 1 ) can be compiled for*a**class**of*triples*A*(*n*) 1 , i, j whose definition is based ...##
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Natural Scene Text Understanding
[chapter]

2007
*
Vision Systems: Segmentation and Pattern Recognition
*

The HTC is

doi:10.5772/4966
fatcat:2vx67sdtrzfpfousqoagdukutm
*a*measure*of**class*separability used in pattern recognition to find*a*set*of*linear features that optimally separate two*classes**of*objects. ... The Teager filter is very good as*a*quadratic, unsharp masking filter. Other similar filters such as the*rational*filter*of*Ramponi [126] may also be capable*of*achieving similar results. ... -APPENDIX*A*- Color Spaces Conversion This appendix details conversions and visualisation 1*of*color spaces described in Chapter 2 for the D65 white point 2 , the 2 • observer and the sRGB working space ...