Digital Two-Dimensional Bijective Reflection and Associated Rotation

In this paper, a new bijective reflection algorithm in two dimensions is proposed along with an associated rotation. The reflection line is defined by an arbitrary Euclidean point and a straight line passing through this point. The reflection line is digitized and the 2D space is paved by digital pe...

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Bibliographic Details
Published inDiscrete Geometry for Computer Imagery pp. 3 - 14
Main Authors Andres, Eric, Dutt, Mousumi, Biswas, Arindam, Largeteau-Skapin, Gaelle, Zrour, Rita
Format Book Chapter
LanguageEnglish
Published Cham Springer International Publishing
SeriesLecture Notes in Computer Science
Subjects
Bijective digital rigid motion
Bijective digital rotation
Digital reflection
Digital rotation
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Summary:In this paper, a new bijective reflection algorithm in two dimensions is proposed along with an associated rotation. The reflection line is defined by an arbitrary Euclidean point and a straight line passing through this point. The reflection line is digitized and the 2D space is paved by digital perpendicular (to the reflection line) straight lines. For each perpendicular line, integer points are reflected by central symmetry with respect to the reflection line. Two consecutive digital reflections are combined to define a digital bijective rotation about arbitrary center, i.e. bijective digital rigid motion.
ISBN:3030140849
9783030140847
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-030-14085-4_1