منابع مشابه
Topological Encoding of 3D Segmented Images
In this paper we define the 3d topological map and give an optimal algorithm which computes it from a segmented image. This data structure encodes totally all the information given by the segmentation. More, it allows to continue segmentation either algorithmically or interactively. We propose an original approach which uses several levels of maps. This allows us to propose a reasonable and imp...
متن کاملOn the Cohomology of 3D Digital Images
We propose a method for computing the cohomology ring of three–dimensional (3D) digital binary–valued pictures. We obtain the cohomology ring of a 3D digital binary–valued picture I, via a simplicial complex K(I) topologically representing (up to isomorphisms of pictures) the picture I. The usefulness of a simplicial description of the “digital” cohomology ring of 3D digital binary– valued pict...
متن کاملRepairing topological inconsistency of mesh sequences
We propose a novel approach for repairing topological inconsistency of mesh sequences with a few user interactions. The main idea of our approach is to leverage curve skeletons to detect the inconsistency of a mesh sequence. The skeleton of one mesh in the sequence is edited by user, which produces a prototype skeleton. We propagate this prototype using graph matching in-between frames. By usin...
متن کاملMaking 3D Binary Digital Images Well-Composed
A 3D binary digital image is said to be well-composed if and only if the set of points in the faces shared by the voxels of foreground and background points of the image is a surface in R. Wellcomposed images enjoy important topological and geometric properties; in particular, there is only one type of connected component in any well-composed image, as 6-, 14-, 18-, and 26-connected components ...
متن کاملMeasuring Intrinsic Volumes in Digital 3d Images
The intrinsic volumes – in 3d up to constants volume, surface area, integral of mean curvature, and Euler number – are a very useful set of geometric characteristics. Combining integral and digital geometry we develop a method for efficient simultanous calculation of the intrinsic volumes of sets observed in binary images. In order to achieve consistency in the derived intrinsic volumes for bot...
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: Journal of Mathematical Imaging and Vision
سال: 2007
ISSN: 0924-9907,1573-7683
DOI: 10.1007/s10851-007-0054-1