@InProceedings{Chum-ACCV10, IS = { zkontrolovano 10 Jan 2012 }, UPDATE = { 2011-01-14 }, author = {Chum, Ond{\v r}ej and Matas, Ji{\v r}{\' i}}, title = {Planar Affine Rectification from Change of Scale}, year = {2011}, pages = {347--360}, booktitle = {{ACCV} 2010: Proceedings of the 10th Asian Conference on Computer Vision, Part {IV}}, editor = {Kimmel, Ron and Klette, Reinhard and Sugimoto, Akihiro}, publisher = {Springer}, series = {LNCS}, volume = {6495}, address = {Heidelberg, Germany}, issn = {0302-9743}, isbn = {978-3-642-19281-4}, book_pages = {759}, year_of_conference = {2010}, month = {November}, day = {8--12}, venue = {Queenstown, New Zealand}, prestige = {international}, annote = {A method for affine rectification of a plane exploiting knowledge of relative scale changes is presented. The rectifying transformation is fully specified by the relative scale change at three non-collinear points or by two pairs of points where the relative scale change is known; the relative scale change between the pairs is not required. The method also allows homography estimation between two views of a planar scene from three point-with-scale correspondences. The proposed method is simple to implement and without parameters; linear and thus supporting (algebraic) least squares solutions; and general, without restrictions on either the shape of the corresponding features or their mutual position. The wide applicability of the method is demonstrated on text rectification, detection of repetitive patterns, texture normalization and estimation of homography from three point-with-scale correspondences.}, keywords = {affine rectification, homography estimation, vanishing line, matching}, psurl = {http://cmp.felk.cvut.cz/~chum/papers/chum_accv10.pdf}, project = {GACR 102/09/P423, ICT-215078 DIPLECS only EU, SGS10/069/OHK3/1T/13}, authorship = {50-50}, }