Saadetoğlu, Müge; Nagy, Benedek; Avkan, Aydın Digital continuity of rotations in the 2D regular grids. (English) Zbl 07802498 Ann. Math. Artif. Intell. 92, No. 1, 115-137 (2024). MSC: 68U05 68U10 PDFBibTeX XMLCite \textit{M. Saadetoğlu} et al., Ann. Math. Artif. Intell. 92, No. 1, 115--137 (2024; Zbl 07802498) Full Text: DOI
Nagy, Benedek Non-traditional 2D grids in combinatorial imaging – advances and challenges. (English) Zbl 1528.68389 Barneva, Reneta P. (ed.) et al., Combinatorial image analysis. 21st international workshop, IWCIA 2022, Messina, Italy, July 13–15, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13348, 3-27 (2023). MSC: 68U05 68U10 PDFBibTeX XMLCite \textit{B. Nagy}, Lect. Notes Comput. Sci. 13348, 3--27 (2023; Zbl 1528.68389) Full Text: DOI
Abdalla, Mohsen; Nagy, Benedek Mathematical morphology on the triangular grid: the strict approach. (English) Zbl 1497.68538 SIAM J. Imaging Sci. 13, No. 3, 1367-1385 (2020). MSC: 68U10 68U05 PDFBibTeX XMLCite \textit{M. Abdalla} and \textit{B. Nagy}, SIAM J. Imaging Sci. 13, No. 3, 1367--1385 (2020; Zbl 1497.68538) Full Text: DOI
Avkan, Aydın; Nagy, Benedek; Saadetoğlu, Müge Digitized rotations of 12 neighbors on the triangular grid. (English) Zbl 1467.68195 Ann. Math. Artif. Intell. 88, No. 8, 833-857 (2020). Reviewer: Agnieszka Lisowska (Sosnowiec) MSC: 68U05 68U10 PDFBibTeX XMLCite \textit{A. Avkan} et al., Ann. Math. Artif. Intell. 88, No. 8, 833--857 (2020; Zbl 1467.68195) Full Text: DOI
Nagy, Benedek Generalised distances of sequences. II: \(B\)-distances with weight sequences. (English) Zbl 1499.40016 Filomat 33, No. 18, 5803-5812 (2019). MSC: 40A05 52C07 68U10 PDFBibTeX XMLCite \textit{B. Nagy}, Filomat 33, No. 18, 5803--5812 (2019; Zbl 1499.40016) Full Text: DOI
Kovács, Gergely; Nagy, Benedek; Vizvári, Béla Chamfer distances on the isometric grid: a structural description of minimal distances based on linear programming approach. (English) Zbl 1430.90544 J. Comb. Optim. 38, No. 3, 867-886 (2019). MSC: 90C35 90C05 52B05 68U10 52C99 PDFBibTeX XMLCite \textit{G. Kovács} et al., J. Comb. Optim. 38, No. 3, 867--886 (2019; Zbl 1430.90544) Full Text: DOI
Nagy, Benedek; Strand, Robin; Normand, Nicolas Distance transform based on weight sequences. (English) Zbl 1522.68667 Couprie, Michel (ed.) et al., Discrete geometry for computer imagery. 21st IAPR international conference, DGCI 2019, Marne-la-Vallée, France, March 26–28, 2019, Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11414, 62-74 (2019). MSC: 68U05 68U10 PDFBibTeX XMLCite \textit{B. Nagy} et al., Lect. Notes Comput. Sci. 11414, 62--74 (2019; Zbl 1522.68667) Full Text: DOI
Nagy, Benedek; Lukić, Tibor Binary tomography on triangular grid involving hexagonal grid approach. (English) Zbl 1519.68302 Barneva, Reneta P. (ed.) et al., Combinatorial image analysis. 19th international workshop, IWCIA 2018, Porto, Portugal, November 22–24, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11255, 68-81 (2018). MSC: 68U05 68U10 PDFBibTeX XMLCite \textit{B. Nagy} and \textit{T. Lukić}, Lect. Notes Comput. Sci. 11255, 68--81 (2018; Zbl 1519.68302) Full Text: DOI
Nagy, Benedek Generalised distances of sequences. I: \(B\)-distances. (English) Zbl 1463.40008 Miskolc Math. Notes 19, No. 1, 397-411 (2018). MSC: 40A05 11Y55 52C07 68U10 PDFBibTeX XMLCite \textit{B. Nagy}, Miskolc Math. Notes 19, No. 1, 397--411 (2018; Zbl 1463.40008) Full Text: DOI
Nagy, Benedek; Strand, Robin; Normand, Nicolas Distance functions based on multiple types of weighted steps combined with neighborhood sequences. (English) Zbl 1433.68516 J. Math. Imaging Vis. 60, No. 8, 1209-1219 (2018). MSC: 68U10 PDFBibTeX XMLCite \textit{B. Nagy} et al., J. Math. Imaging Vis. 60, No. 8, 1209--1219 (2018; Zbl 1433.68516) Full Text: DOI
Kovács, Gergely; Nagy, Benedek; Vizvári, Béla Weighted distances and digital disks on the Khalimsky grid. Disks with holes and islands. (English) Zbl 1420.68226 J. Math. Imaging Vis. 59, No. 1, 2-22 (2017). MSC: 68U05 05B45 68U10 PDFBibTeX XMLCite \textit{G. Kovács} et al., J. Math. Imaging Vis. 59, No. 1, 2--22 (2017; Zbl 1420.68226) Full Text: DOI
Nagy, Benedek; Lukić, Tibor Dense projection tomography on the triangular tiling. (English) Zbl 1368.68309 Fundam. Inform. 145, No. 2, 125-141 (2016). MSC: 68U10 68U05 PDFBibTeX XMLCite \textit{B. Nagy} and \textit{T. Lukić}, Fundam. Inform. 145, No. 2, 125--141 (2016; Zbl 1368.68309) Full Text: DOI
Nagy, Benedek Cellular topology and topological coordinate systems on the hexagonal and on the triangular grids. (English) Zbl 1325.52011 Ann. Math. Artif. Intell. 75, No. 1-2, 117-134 (2015). MSC: 52C05 68U10 14B20 PDFBibTeX XMLCite \textit{B. Nagy}, Ann. Math. Artif. Intell. 75, No. 1--2, 117--134 (2015; Zbl 1325.52011) Full Text: DOI
Nagy, Benedek Weighted distances on a triangular grid. (English) Zbl 1486.68218 Barneva, Reneta P. (ed.) et al., Combinatorial image analysis. 16th international workshop, IWCIA 2014, Brno, Czech Republic, May 28–30, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8466, 37-50 (2014). MSC: 68U05 68U10 PDFBibTeX XMLCite \textit{B. Nagy}, Lect. Notes Comput. Sci. 8466, 37--50 (2014; Zbl 1486.68218) Full Text: DOI
Nagy, Benedek; Barczi, Krisztina Isoperimetrically optimal polygons in the triangular grid with Jordan-type neighbourhood on the boundary. (English) Zbl 1276.68163 Int. J. Comput. Math. 90, No. 8, 1629-1652 (2013). MSC: 68U05 68R05 68U10 PDFBibTeX XMLCite \textit{B. Nagy} and \textit{K. Barczi}, Int. J. Comput. Math. 90, No. 8, 1629--1652 (2013; Zbl 1276.68163) Full Text: DOI Link
Nagy, Benedek; Strand, Robin; Normand, Nicolas A weight sequence distance function. (English) Zbl 1382.68268 Hendriks, Cris L. Luengo (ed.) et al., Mathematical morphology and its applications to signal and image processing. 11th international symposium, ISMM 2013, Uppsala, Sweden, May 27–29, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-38293-2/pbk). Lecture Notes in Computer Science 7883, 292-301 (2013). MSC: 68U05 68U10 PDFBibTeX XMLCite \textit{B. Nagy} et al., Lect. Notes Comput. Sci. 7883, 292--301 (2013; Zbl 1382.68268) Full Text: DOI
Lukić, Tibor; Nagy, Benedek Energy-minimization based discrete tomography reconstruction method for images on triangular grid. (English) Zbl 1377.68307 Barneva, Reneta P. (ed.) et al., Combinatorial image analysis. 15th international workshop, IWCIA 2012, Austin, TX, USA, November 28–30, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-34731-3/pbk). Lecture Notes in Computer Science 7655, 274-284 (2012). MSC: 68U10 68U05 PDFBibTeX XMLCite \textit{T. Lukić} and \textit{B. Nagy}, Lect. Notes Comput. Sci. 7655, 274--284 (2012; Zbl 1377.68307) Full Text: DOI
Strand, Robin; Nagy, Benedek; Borgefors, Gunilla Digital distance functions on three-dimensional grids. (English) Zbl 1207.68429 Theor. Comput. Sci. 412, No. 15, 1350-1363 (2011). MSC: 68U10 52C99 94A08 PDFBibTeX XMLCite \textit{R. Strand} et al., Theor. Comput. Sci. 412, No. 15, 1350--1363 (2011; Zbl 1207.68429) Full Text: DOI
Nagy, Benedek; Strand, Robin Neighborhood sequences in the diamond grid – algorithms with four neighbors. (English) Zbl 1267.68294 Wiederhold, Petra (ed.) et al., Combinatorial image analysis. 13th international workshop, IWCIA 2009, Playa del Carmen, Mexico, November 24–27, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-10208-0/pbk). Lecture Notes in Computer Science 5852, 109-121 (2009). MSC: 68U10 68U05 PDFBibTeX XMLCite \textit{B. Nagy} and \textit{R. Strand}, Lect. Notes Comput. Sci. 5852, 109--121 (2009; Zbl 1267.68294) Full Text: DOI
Nagy, Benedek; Strand, Robin Neighborhood sequences on \(n\)D hexagonal/face-centered-cubic grids. (English) Zbl 1267.68293 Wiederhold, Petra (ed.) et al., Combinatorial image analysis. 13th international workshop, IWCIA 2009, Playa del Carmen, Mexico, November 24–27, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-10208-0/pbk). Lecture Notes in Computer Science 5852, 96-108 (2009). MSC: 68U10 68U05 PDFBibTeX XMLCite \textit{B. Nagy} and \textit{R. Strand}, Lect. Notes Comput. Sci. 5852, 96--108 (2009; Zbl 1267.68293) Full Text: DOI
Nagy, Benedek Distance with generalized neighbourhood sequences in \(n D\) and \(\infty D\). (English) Zbl 1230.68209 Discrete Appl. Math. 156, No. 12, 2344-2351 (2008). MSC: 68U05 52A20 68U10 PDFBibTeX XMLCite \textit{B. Nagy}, Discrete Appl. Math. 156, No. 12, 2344--2351 (2008; Zbl 1230.68209) Full Text: DOI
Strand, Robin; Nagy, Benedek Distances based on neighbourhood sequences in non-standard three-dimensional grids. (English) Zbl 1109.68123 Discrete Appl. Math. 155, No. 4, 548-557 (2007). MSC: 68U10 PDFBibTeX XMLCite \textit{R. Strand} and \textit{B. Nagy}, Discrete Appl. Math. 155, No. 4, 548--557 (2007; Zbl 1109.68123) Full Text: DOI
Farkas, János; Baják, Szabolcs; Nagy, Benedek Approximating the Euclidean circle in the square grid using neighbourhood sequences. (English) Zbl 1222.68403 PU.M.A., Pure Math. Appl. 17, No. 3-4, 309-322 (2006). MSC: 68U10 65K05 52C05 PDFBibTeX XMLCite \textit{J. Farkas} et al., PU.M.A., Pure Math. Appl. 17, No. 3--4, 309--322 (2006; Zbl 1222.68403)
Nagy, Benedek Generalized triangular grids in digital geometry. (English) Zbl 1060.52502 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 20, 63-78 (2004). MSC: 52C99 68U10 PDFBibTeX XMLCite \textit{B. Nagy}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 20, 63--78 (2004; Zbl 1060.52502) Full Text: EuDML EMIS
Nagy, Benedek Distance functions based on neighbourhood sequences. (English) Zbl 1050.68160 Publ. Math. Debr. 63, No. 3, 483-493 (2003). Reviewer: Attila Fazekas (Debrecen) MSC: 68U10 PDFBibTeX XMLCite \textit{B. Nagy}, Publ. Math. Debr. 63, No. 3, 483--493 (2003; Zbl 1050.68160)