Computing upper and lower bounds of rotation angles from digital images Export

@article{ThibaultKS09, abstract = {Rotations in the discrete plane are important for many applications such as image matching or construction of mosaic images. We suppose that a digital image A is transformed to another digital image B by a rotation. In the discrete plane, there are many angles giving the rotation from A to B , which we call admissible rotation angles from A to B . For such a set of admissible rotation angles, there exist two angles that achieve the lower and the upper bounds. To find those lower and upper bounds, we use hinge angles as used in [1]. A sequence of hinge angles is a set of particular angles determined by a digital image in the sense that any angle between two consecutive hinge angles gives the identical rotation of the digital image. We propose a method for obtaining the lower and the upper bounds of admissible rotation angles using hinge angles from a given Euclidean angle or from a pair of corresponding digital images.}, author = {Thibault, Y. and Kenmochi, Y. and Sugimoto, A.}, citeulike-article-id = {3977989}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.patcog.2008.12.027}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0031320309000132}, day = {20}, doi = {10.1016/j.patcog.2008.12.027}, issn = {00313203}, journal = {Pattern Recognition}, keywords = {angle, digital, hinge, image, rotation}, month = {January}, posted-at = {2009-01-29 08:25:33}, priority = {2}, title = {Computing upper and lower bounds of rotation angles from digital images}, url = {http://dx.doi.org/10.1016/j.patcog.2008.12.027}, year = {2009} }

TY - JOUR ID - ThibaultKS09 L3 - citeulike-article-id:3977989 N2 - Rotations in the discrete plane are important for many applications such as image matching or construction of mosaic images. We suppose that a digital image A is transformed to another digital image B by a rotation. In the discrete plane, there are many angles giving the rotation from A to B , which we call admissible rotation angles from A to B . For such a set of admissible rotation angles, there exist two angles that achieve the lower and the upper bounds. To find those lower and upper bounds, we use hinge angles as used in [1]. A sequence of hinge angles is a set of particular angles determined by a digital image in the sense that any angle between two consecutive hinge angles gives the identical rotation of the digital image. We propose a method for obtaining the lower and the upper bounds of admissible rotation angles using hinge angles from a given Euclidean angle or from a pair of corresponding digital images. JF - Pattern Recognition SN - 00313203 TI - Computing upper and lower bounds of rotation angles from digital images KW - angle KW - digital KW - hinge KW - image KW - rotation AU - Thibault, Y AU - Kenmochi, Y AU - Sugimoto, A PY - 2009/01/20/ UR - http://dx.doi.org/10.1016/j.patcog.2008.12.027 ER -