190 research outputs found
Implementation and complexity of the watershed-from-markers algorithm computed as a minimal cost forest
The watershed algorithm belongs to classical algorithms in mathematical
morphology. Lotufo et al. published a principle of the watershed computation by
means of an Image Foresting Transform (IFT), which computes a shortest path
forest from given markers. The algorithm itself was described for a 2D case
(image) without a detailed discussion of its computation and memory demands for
real datasets. As IFT cleverly solves the problem of plateaus and as it gives
precise results when thin objects have to be segmented, it is obvious to use
this algorithm for 3D datasets taking in mind the minimizing of a higher memory
consumption for the 3D case without loosing low asymptotical time complexity of
O(m+C) (and also the real computation speed). The main goal of this paper is an
implementation of the IFT algorithm with a priority queue with buckets and
careful tuning of this implementation to reach as minimal memory consumption as
possible.
The paper presents five possible modifications and methods of implementation
of the IFT algorithm. All presented implementations keep the time complexity of
the standard priority queue with buckets but the best one minimizes the costly
memory allocation and needs only 19-45% of memory for typical 3D medical
imaging datasets. Memory saving was reached by an IFT algorithm simplification,
which stores more elements in temporary structures but these elements are
simpler and thus need less memory.
The best presented modification allows segmentation of large 3D medical
datasets (up to 512x512x680 voxels) with 12-or 16-bits per voxel on currently
available PC based workstations.Comment: v1: 10 pages, 6 figures, 7 tables EUROGRAPHICS conference,
Manchester, UK, 2001. v2: 12 pages, reformated for letter, corrected IFT to
"Image Foresting Tranform
Zine: Fleeting Innocence
Social Justice Zines
Topic: Police Violence Targeting Black Women and Girls
Subtopics Include: gender- and sexuality-specific police violence, with a focus on Black trans women; the histories of violence against Black women; policing (dis)ability; and the relevance of intersectional identitieshttps://www.exhibit.xavier.edu/state_sanctioned_violence/1016/thumbnail.jp
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