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Imants Svalbe, Arnaud Guinard
Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other › peerreview
A 2D p:q lattice contains image intensity entries at pixels located at regular, staggered intervals that are spaced p rows and q columns apart. Zero values appear at all other intermediate grid locations. We consider here the construction, for any given p:q, of convolution masks to smoothly and uniformly interpolate values across all of the intermediate grid positions. The conventional pixelfilling approach is to allocate intensities proportional to the fractional area that each grid pixel occupies inside the boundaries formed by the p:q lines. However these areabased masks have asymmetric boundaries, flat interior values and may be odd or even in size. We ask here if smoother, symmetric versions of such convolution masks exist and, if so, is their structure unique for each p:q lattice? The answer appears to be yes on both counts. The coefficients of the masks constructed here have simple integer values whose distribution is derived purely from symmetry considerations. We have application for these symmetric interpolation masks as part of a precise image rotation algorithm, as well as to smooth backprojected values when performing discrete tomographic image reconstruction.
Original language  English 

Title of host publication  Proceedings of 19th IAPR International Conference Discrete Geometry for Computer Imagery 
Subtitle of host publication  DGCI 2016 
Editors  Nicolas Normand, Jeanpierre Guédon, Florent Autrusseau 
Place of Publication  Switzerland 
Publisher  SpringerVerlag London Ltd. 
Pages  233243 
Number of pages  11 
Volume  9647 
ISBN (Print)  9783319323596 
DOIs  
Publication status  Published  2016 
Event  International Conference on Discrete Geometry for Computer Imagery 2016  La Cité Nantes Events Center, Nantes, France Duration: 18 Apr 2016 → 20 Apr 2016 Conference number: 19th https://link.springer.com/book/10.1007/9783319323602 (Proceedings) 
Name  Lecture Notes in Computer Science 

Publisher  Springer International Publishing 
Volume  9647 
ISSN (Print)  03029743 
ISSN (Electronic)  16113349 
Conference  International Conference on Discrete Geometry for Computer Imagery 2016 

Abbreviated title  DGCI 2016 
Country/Territory  France 
City  Nantes 
Period  18/04/16 → 20/04/16 
Other  Discrete Geometry for Computer Imagery 19th IAPR International Conference, DGCI 2016, Nantes, France, April 1820, 2016. Proceedings 
Internet address 

Research output: Contribution to journal › Article › Research › peerreview