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## Approximations by CCC–Schoenberg operators and contour stencils in image resampling

Bosner, Tina; Crnković, Bojan; Škifić, Jerko
Approximations by CCC–Schoenberg operators and contour stencils in image resampling // ApplMath18 - Ninth Conference on Applied Mathematics and Scientific Computing
Šibenik, Hrvatska, 2018. (predavanje, nije recenziran, neobjavljeni rad, znanstveni)

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Naslov
Approximations by CCC–Schoenberg operators and contour stencils in image resampling

Autori
Bosner, Tina ; Crnković, Bojan ; Škifić, Jerko

Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
ApplMath18 - Ninth Conference on Applied Mathematics and Scientific Computing

Mjesto i datum
Šibenik, Hrvatska, 17-20.09.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
Image resampling ; Histospline ; CCC-Schoenberg operators ; Contour stencils

Sažetak
Resampling of digital images is an essential part of image processing. The most efficient and sufficiently accurate image resampling techniques can produce ringing artifacts, due the oscillations of the approximations near sharp transitions of color when upsampling. Also, the methods, based on the tensor products of one dimensional methods, can produce stairlike lines (aliasing). To solve the First problem, we use shape preserving approximations by CCC-Schoenberg operators for the interpolation or histoploation process, applied dimension by dimension. The associated spline space is the space of variable degree polynomial splines. For the second one, we apply the contour stencils to approximate locally along the image edges. A special approximation, based on tensor product, is designed for each stencil. The local approximations are calculated relatively simply, and than blended together to get the final approximation.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Tehnički fakultet, Rijeka,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Rijeci - Odjel za matematiku

Profili:

Tina Bosner (autor)

Jerko Škifić (autor)

Bojan Crnković (autor)

#### Citiraj ovu publikaciju:

Bosner, Tina; Crnković, Bojan; Škifić, Jerko
Approximations by CCC–Schoenberg operators and contour stencils in image resampling // ApplMath18 - Ninth Conference on Applied Mathematics and Scientific Computing
Šibenik, Hrvatska, 2018. (predavanje, nije recenziran, neobjavljeni rad, znanstveni)
Bosner, T., Crnković, B. & Škifić, J. (2018) Approximations by CCC–Schoenberg operators and contour stencils in image resampling. U: ApplMath18 - Ninth Conference on Applied Mathematics and Scientific Computing.
@article{article, year = {2018}, keywords = {Image resampling, Histospline, CCC-Schoenberg operators, Contour stencils}, title = {Approximations by CCC–Schoenberg operators and contour stencils in image resampling}, keyword = {Image resampling, Histospline, CCC-Schoenberg operators, Contour stencils}, publisherplace = {\v{S}ibenik, Hrvatska} }
@article{article, year = {2018}, keywords = {Image resampling, Histospline, CCC-Schoenberg operators, Contour stencils}, title = {Approximations by CCC–Schoenberg operators and contour stencils in image resampling}, keyword = {Image resampling, Histospline, CCC-Schoenberg operators, Contour stencils}, publisherplace = {\v{S}ibenik, Hrvatska} }

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