Abstract
A wide variety of algorithms and methods in computer graphics and digital image processing is based on point grids Z m defined by regular orthogonal grids in m-dimensional real space R m , and on the metrics that may be defined on Z m , for m ≥ 2. In this paper, half-norms ∥ · ∥ l , metrics δ l , and point products 〈·, ·〉 l are introduced characterizing different m-dimensional metric grid point spaces, for 0 <- l < m. Furthermore, grid point ditizations in m-dimensional space are defined and grid intersection digitizations for hyperplanes are analyzed. It is shown that digital straight lines (according to grid intersection digitizations) are special digital curves which may be uniquely recognized by m −1 projections into the 2-dimensional point grid Z 2.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
