Detection of the non-topology preservation of Ma and Sonka’s algorithm, by the use of P-simple points

Lohou, Christophe

doi:10.1016/j.cviu.2009.10.003

Cited by 6 publications

(1 citation statement)

References 37 publications

(63 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such strategies lead to fully parallel skeletonization with topology preservation constraints defined over an extended neighborhood beyond the 3 × 3 × 3 neighborhood. Ma and Sonka presented the first fully parallel skeletonization algorithm in 3-D. Lohou [315] and Wang and Basu [316] detected non-topology preservation and counter examples of Ma and Sonka's algorithm. Later, Lohou and Dehos [317] presented an automatic correction on Ma and Sonka's algorithm using Psimple points [318].…”

Section: B Parallelizationmentioning

confidence: 98%

Digital Topology and Geometry in Medical Imaging: A Survey

Saha

Strand

Borgefors

2015

IEEE Trans. Med. Imaging

View full text Add to dashboard Cite

Digital topology and geometry refers to the use of topologic and geometric properties and features for images defined in digital grids. Such methods have been widely used in many medical imaging applications, including image segmentation, visualization, manipulation, interpolation, registration, surface-tracking, object representation, correction, quantitative morphometry etc. Digital topology and geometry play important roles in medical imaging research by enriching the scope of target outcomes and by adding strong theoretical foundations with enhanced stability, fidelity, and efficiency. This paper presents a comprehensive yet compact survey on results, principles, and insights of methods related to digital topology and geometry with strong emphasis on understanding their roles in various medical imaging applications. Specifically, this paper reviews methods related to distance analysis and path propagation, connectivity, surface-tracking, image segmentation, boundary and centerline detection, topology preservation and local topological properties, skeletonization, and object representation, correction, and quantitative morphometry. A common thread among the topics reviewed in this paper is that their theory and algorithms use the principle of digital path connectivity, path propagation, and neighborhood analysis.

show abstract

Section: B Parallelizationmentioning

confidence: 98%