scholarly journals Approximation by Partial Isometries and Symmetric Approximation of Finite Frames

2017 ◽  
Vol 24 (4) ◽  
pp. 1098-1118 ◽  
Author(s):  
Jorge Antezana ◽  
Eduardo Chiumiento
Keyword(s):  
Finite Frames ◽  
Partial Isometries ◽  
Symmetric Approximation

POLYGONAL APPROXIMATION OF DIGITAL CURVE BASED ON REVERSE ENGINEERING CONCEPT

2013 ◽  
Vol 13 (04) ◽  
pp. 1350017 ◽  
Author(s):  
KUMAR S. RAY ◽  
BIMAL KUMAR RAY
Keyword(s):  
Reverse Engineering ◽  
Linear Time ◽  
Line Drawing ◽  
Approximation Error ◽  
Zero Approximation ◽  
Polygonal Approximation ◽  
Digital Curve ◽  
Symmetric Approximation ◽  
Engineering Concept ◽  
Automatic Algorithm

This paper applies reverse engineering on the Bresenham's line drawing algorithm [J. E. Bresenham, IBM System Journal, 4, 106–111 (1965)] for polygonal approximation of digital curve. The proposed method has a number of features, namely, it is sequential and runs in linear time, produces symmetric approximation from symmetric digital curve, is an automatic algorithm and the approximating polygon has the least non-zero approximation error as compared to other algorithms.

scholarly journals On structural decompositions of finite frames

2015 ◽  
Vol 42 (3) ◽  
pp. 721-756
Author(s):  
Alice Z.-Y. Chan ◽  
Martin S. Copenhaver ◽  
Sivaram K. Narayan ◽  
Logan Stokols ◽  
Allison Theobold
Keyword(s):  
Finite Frames ◽  
Structural Decompositions

scholarly journals CUNTZ–PIMSNER C*-ALGEBRAS ASSOCIATED WITH SUBSHIFTS

2008 ◽  
Vol 19 (01) ◽  
pp. 47-70 ◽  
Author(s):  
TOKE MEIER CARLSEN
Keyword(s):  
Partial Isometries ◽  
C Algebra ◽  
C Algebras ◽  
Shift Space

By using C*-correspondences and Cuntz–Pimsner algebras, we associate to every subshift (also called a shift space) 𝖷 a C*-algebra [Formula: see text], which is a generalization of the Cuntz–Krieger algebras. We show that [Formula: see text] is the universal C*-algebra generated by partial isometries satisfying relations given by 𝖷. We also show that [Formula: see text] is a one-sided conjugacy invariant of 𝖷.

Partial isometries and an invariant of C*-algebras

2011 ◽  
Vol 27 (4) ◽  
pp. 799-806 ◽  
Author(s):  
Hong Liang Yao ◽  
Xiao Chun Fang
Keyword(s):  
Partial Isometries ◽  
C Algebras
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