@conference {648, title = {Clustering Moment Invariants to Identify Similarity within 2D Flow Fields}, booktitle = {EG / VGTC Conference on Visualization, EuroVis 2015 in Cagliari, Italy}, year = {2015}, url = {http://www.informatik.uni-leipzig.de/~bujack/2015EuroVis.pdf}, author = {Roxana Bujack and Jens Kasten and Vijay Natarajan and Gerik Scheuermann and Kenneth I. Joy} } @article {670, title = {Demystification of the geometric Fourier transforms and resulting convolution theorems}, journal = {Mathematical Methods in the Applied Sciences}, year = {2015}, doi = {10.1002/mma.3607}, url = {http://www.informatik.uni-leipzig.de/~bujack/2015Demystification.pdf}, author = {Roxana Bujack and Gerik Scheuermann and Eckhard Hitzer} } @article {649, title = {Moment Invariants for 2D Flow Fields via Normalization in Detail}, journal = {IEEE Transactions on Visualization and Computer Graphics (TVCG)}, volume = {21}, year = {2015}, pages = {916--929}, url = {http://www.informatik.uni-leipzig.de/~bujack/bujackTVCGSmall.pdf}, author = {Roxana Bujack and Ingrid Hotz and Gerik Scheuermann and Eckhard Hitzer} } @conference {647, title = {Moment Invariants for 3D Flow Fields via Normalization}, booktitle = {IEEE Pacific Visualization Symposium, PacificVis 2015 in Hangzhou, China}, year = {2015}, url = {http://www.informatik.uni-leipzig.de/~bujack/PacificVis2015.pdf}, author = {Roxana Bujack and Jens Kasten and Ingrid Hotz and Gerik Scheuermann and Eckhard Hitzer} } @article {607, title = {Customized TRS Invariants for 2D Vector Fields via Moment Normalization}, journal = {Pattern Recognition Letters}, volume = {46}, year = {2014}, pages = {59}, chapter = {46}, doi = {http://dx.doi.org/10.1016/j.patrec.2014.05.005}, url = {http://www.informatik.uni-leipzig.de/~bujack/pat_rec_let.pdf}, author = {Roxana Bujack and Mario Hlawitschka and Gerik Scheuermann and Eckhard Hitzer} } @conference {589, title = {Moment Invariants for 2D Flow Fields via Normalization}, booktitle = {IEEE Pacific Visualization Symposium, PacificVis 2014 in Yokohama, Japan}, year = {2014}, url = {http://www.informatik.uni-leipzig.de/~bujack/2014PacificVis.pdf}, author = {Roxana Bujack and Ingrid Hotz and Gerik Scheuermann and Eckhard Hitzer} } @proceedings {645, title = {Moment Invariants for 3D Flow Fields}, year = {2014}, url = {http://www.informatik.uni-leipzig.de/~bujack/meinPosterSmall.pdf}, author = {Roxana Bujack and Jens Kasten and Ingrid Hotz and Gerik Scheuermann and Eckhard Hitzer} } @mastersthesis {646, title = {Orientation Invariant Pattern Detection in Vector Fields with Clifford Algebra and Moment Invariants}, year = {2014}, school = {Leipzig University}, address = {Leipzig}, url = {http://www.qucosa.de/fileadmin/data/qucosa/documents/19120/thesis90.pdf}, author = {Roxana Bujack} } @article {509, title = {Convolution Products for Hypercomplex Fourier Transforms}, journal = {Journal of Mathematical Imaging and Vision}, volume = {48}, year = {2013}, pages = {606-624}, doi = {10.1007/s10851-013-0430-y}, url = {http://www.informatik.uni-leipzig.de/~bujack/conv-prod.pdf}, author = {Roxana Bujack and Hendrik De Bie and Nele De Schepper and Gerik Scheuermann} } @article {550, title = {Demystification of the Geometric Fourier Transforms}, journal = {AIP Conference Proceedings}, volume = {1558}, year = {2013}, doi = {http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4825543}, url = {http://www.informatik.uni-leipzig.de/~bujack/demystification.pdf}, author = {Roxana Bujack and Gerik Scheuermann and Eckhard Hitzer} } @article {551, title = {Detection of Outer Rotations on 3D-Vector Fields with Iterative Geometric Correlation and its Efficiency}, journal = {Advances in Applied Clifford Algebras}, year = {2013}, pages = {1-19}, keywords = {Clifford algebra, color image processing, correlation, geometric algebra, iteration, outer rotation, registration}, issn = {0188-7009}, doi = {10.1007/s00006-013-0411-7}, url = {http://www.informatik.uni-leipzig.de/~bujack/outer_reg.pdf}, author = {Roxana Bujack and Gerik Scheuermann and Eckhard Hitzer} } @article {443, title = {A General Geometric Fourier Transform Convolution Theorem}, journal = {Advances in Applied Clifford Algebras}, volume = {23}, year = {2013}, pages = {15-38}, publisher = {SP Birkh{\"a}user Verlag Basel}, keywords = {Clifford algebra, convolution, coorthogonal, Fourier transform, geometric algebra, geometric trigonometric transform}, issn = {0188-7009}, doi = {10.1007/s00006-012-0338-4}, url = {http://www.informatik.uni-leipzig.de/~bujack/GFTconv.pdf}, author = {Roxana Bujack and Gerik Scheuermann and Eckhard Hitzer} } @article {552, title = {Vector Field Computations in Clifford{\textquoteright}s Geometric Algebra}, journal = {Third SICE Symposium on Computational Intelligence, 2013, Osaka University}, year = {2013}, url = {http://www.informatik.uni-leipzig.de/~bujack/2013Eckhard.pdf}, author = {Eckhard Hitzer and Roxana Bujack and Gerik Scheuermann} } @article {BSH12a, title = {Detection of Outer Rotations on 3D-Vector Fields with Iterative Geometric Correlation}, journal = {5th conference on Applied Geometric Algebras in Computer Science and Engineering}, year = {2012}, address = {La Rochelle, France}, url = {http://www.informatik.uni-leipzig.de/~bujack/outer3D.pdf}, author = {Roxana Bujack and Gerik Scheuermann and Eckhard Hitzer} } @article {BSH12b, title = {Detection of Total Rotations on linear 2D-Vector Fields with Iterative Geometric Correlation}, journal = {AIP Conference Proceedings}, volume = {1493}, year = {2012}, pages = {190-199}, address = {Vienna University of Technology, Austria}, doi = {http://dx.doi.org/10.1007/BF03161244}, url = {http://www.informatik.uni-leipzig.de/~bujack/total2D.pdf}, author = {Roxana Bujack and Gerik Scheuermann and Eckhard Hitzer} } @conference {BSH11, title = {A General Geometric Fourier Transform}, booktitle = {Proceedings of the 9th International Conference on Clifford Algebras and their Applications}, year = {2011}, address = {Bauhaus-University Weimar, Germany}, url = {http://www.informatik.uni-leipzig.de/~bujack/GeneralGFT.pdf}, author = {Roxana Bujack and Gerik Scheuermann and Eckhard Hitzer}, editor = {K. G{\"u}rlebeck} }