Topology-Preserving Rigid Transformation of 2D Digital Images
نویسندگان
چکیده
منابع مشابه
Topological properties of 2D digital images under rigid transformations
In the continuous domain Rn, rigid transformations (i.e., compositions of reflections, rotations and translations) are topology-preserving operations. Due to digitization, this is not the case when considering digital images, i.e., images defined on Zn. In this article, we begin to investigate this problem by studying conditions for digital images to preserve their topological properties under ...
متن کاملCombinatorial structure of rigid transformations in 2D digital images
Rigid transformations are involved in a wide range of digital image processing applications. When applied on discrete images, rigid transformations are usually performed in their associated continuous space, requiring a subsequent digitization of the result. In this article, we propose to study rigid transformations of digital images as fully discrete processes. In particular, we investigate a ...
متن کاملTopology preserving representations of compact 2D manifolds by digital 2-surfaces. Compressed digital models and digital weights of compact 2D manifolds. Classification of closed surfaces by digital tools
Using digital topology approach, we construct digital models of closed surfaces as the intersection graphs of LCL covers of the surfaces. It is proved that digital models of closed surfaces are digital 2-dimensional surfaces preserving the geometry and topology of their continuous counterparts. In the framework of the proposed models, we show that for any closed surface there exists a compresse...
متن کاملRetrospective evaluation of a topology preserving non-rigid registration method
This paper proposes a comprehensive evaluation of a monomodal B-spline-based non-rigid registration algorithm allowing topology preservation in 3-D. This article is to be considered as the companion of [Noblet, V., Heinrich, C., Heitz, F., Armspach, J.-P., 2005. 3-D deformable image registration: a topology preservation scheme based on hierarchical deformation models and interval analysis optim...
متن کاملCurvature in Digital 2D Images
The paper presents an analysis of sources of errors when estimating derivatives of numerical or noisy functions. A method of minimizing the errors is suggested. When being applied to the estimation of the curvature of digital curves, the analysis shows that under the conditions typical for digital image processing the curvature can rarely be estimated with a precision higher than 50%. Ways of o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Image Processing
سال: 2014
ISSN: 1057-7149,1941-0042
DOI: 10.1109/tip.2013.2295751