Computing Admissible Rotation Angles from Rotated Digital Images

Thibault, Yohan; Kenmochi, Yukiko; Sugimoto, Akihiro

doi:10.1007/978-3-540-78275-9_9

Cited by 3 publications

(2 citation statements)

References 5 publications

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“…Similarly in the projection domain, except for the rotation angles that are multiple of the Several works based on discrete geometry can reduce or avoid resampling or interpolation steps [7,8]. Considering specific discrete angles and allowing an image scale change, an exact image rotation can be performed in the sense that no interpolation is required anymore [9]. More recently, a projection-based approach has been proposed in [10] to perform exact, scale change, discrete rotations in the Finite Radon Transform domain [11].…”

Section: Introductionmentioning

confidence: 98%

Rotations in the Mojette space

Sarkissian¹,

Recur²,

Normand³

et al. 2013

2013 IEEE International Conference on Image Processing

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Section: Introductionmentioning

confidence: 98%

Rotations in the Mojette space

Sarkissian¹,

Recur²,

Normand³

et al. 2013

2013 IEEE International Conference on Image Processing

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“…The output is two hinge angles that give the lower and the upper bounds of the admissible rotation angles for the two sets. Note that a part of this work was presented in [9].…”

Section: Introductionmentioning

confidence: 99%

Computing upper and lower bounds of rotation angles from digital images

Thibault

Kenmochi²,

Sugimoto

2009

Pattern Recognition

Self Cite

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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 called 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 [7]. 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.

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Non-traditional 2D Grids in Combinatorial Imaging – Advances and Challenges

Nagy

2023

Lecture Notes in Computer Science

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Computing Admissible Rotation Angles from Rotated Digital Images

Cited by 3 publications

References 5 publications

Rotations in the Mojette space

Rotations in the Mojette space

Computing upper and lower bounds of rotation angles from digital images

Non-traditional 2D Grids in Combinatorial Imaging – Advances and Challenges

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