Medial Representations: Mathematics, Algorithms and Applications

By Kaleem Siddiqi, S. Pizer. 2008

444 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/6586fb0b24df9e9c10da96558b1d1fdf3b753250

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Citations in the corpus

3D Skeletons: A State‐of‐the‐Art Report (2016, methodology): “Given the long history of skeletonization, understanding the properties of 2D shape skeletons, and computing them efﬁciently, is a well covered ﬁeld [SP09, ABE09].”
Statistical shape modeling of the left ventricle: myocardial infarct classification challenge (2017, background): “The medial representation of an LV shape is therefore a mid surface between endocardium and epicardium, which was modeled as a fixed single sheet topology [58].”
Digital Topology and Geometry in Medical Imaging: A Survey (2015, methodology): “Here, it should be clarified that there are other forms [269]–[271] of skeleton besides Blum's medial skeleton; see Chapters 1 and 3 of the book by Siddiqi and Pizer [37] for a thorough discussion on this issue.”
Point Cloud Skeletons via Laplacian Based Contraction (2010, unknown): “Curve skeletons are not the only means for obtaining a topological representation of a shape; another notable example is the medial axis [15], which provides a powerful dual representation of the shape surface.”
Curve skeleton extraction from incomplete point cloud (2009, background): “The best known skeletal representation is Blum’s medial axis [Blum 1967], which, along with its variants collectively referred to as medial representations [Siddiqi and Pizer 2009], is designed to capture reflectional symmetries in a shape [Bouix et al.”
Experimental Characterization of Porosity Structure and Transport Property Changes in Limestone Undergoing Different Dissolution Regimes (2014, background): “More formal definitions can be found in Siddiqi and Pizer (2008).”