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C. N. Lee, T. Poston, and A. Rosenfeld. Holes and genus of 2d and 3d digital images. CVGIP: Graph. Models Image Process., 55:20-47, 1993. 73

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A new 2-D and 3-D thinning algorithm based on successive.. - Marion-Poty, Miguet (1994)   (Correct)

....are called the holes in 2 D and the cavities in 3 D. The holes are harder to define in 3 D. Intuitively, a 3 D hole corresponds to an equivalence class of simple paths that can be drawn on the object, and that cannot be continuously reduced to a single point. A torus typically has one hole. See [3] for a more formal definition. 2.1.4 Points connectivity and strict n neighbors Two points P and Q are said to be n connected if they belong to a same n component. They are said to be locally n connected if they are still n connected when we restrict the image to their bounding box 1 . Figure ....

A. Rosenfeld C.-H. Lee, T. Poston. Holes and genus of 2d and 3d digital images. C.V.G.I.P.: Graphical models and image processing, 55(1):20--47, January 1993.


Geometric and Statistical Analysis of Porous Media - Venkatarangan (2000)   (1 citation)  (Correct)

....and an edge indicates 6 adjacent grains there is only one object and no cavities, so that H(S) H(S P) 1, and the adjacency and surroundedness relations have not changed between the set of voxels S and S fPg. Nevertheless, we see that the tunnel in S is di erent than the tunnel in S fPg. In [41] Lee et al. give conditions under which the reallocation of a point P from S to S preserves topology. Such points are called simple points. The characterisation of a simple point due to Morgenthaler [53] is known to be necessary and sucient [41] According to Morgenthaler a point P is a simple ....

....in S is di erent than the tunnel in S fPg. In [41] Lee et al. give conditions under which the reallocation of a point P from S to S preserves topology. Such points are called simple points. The characterisation of a simple point due to Morgenthaler [53] is known to be necessary and sucient [41]. According to Morgenthaler a point P is a simple point i O(S fN(P ) Pg) O(S N(P ) and (3.1) O( S fN(P ) Pg) O( S N(P ) and (3.2) H(S fN(P ) Pg) H(S N(P ) and (3.3) H( S fN(P ) Pg) H( S N(P ) 3.4) 30 3.3.2 The Genus The genus G of a digitised ....

C. N. Lee, T. Poston, and A. Rosenfeld. Holes and genus of 2d and 3d digital images. CVGIP: Graphical Models and Image Processing, 55(1):20-47, January 1993.


Fast Arbitrarily Oriented 3D Discrete Slicing for Medical.. - Guitton, Wuthrich (1995)   (Correct)

....defined as above cannot have holes, whereby by hole we intend a 6 connected path of voxels not belonging to the surface that traverse the surface. Here we restrict our attention to holes on volumetric surfaces. Holes of 3 D objects are a much hairier subject, and are studied more in depth in [21]. Rasterization is the operation that maps continuous objects into the discrete world of raster output devices. In two dimensional space, there are two basic ways commonly used for rasterizing onto a lattice: grid intersection rasterization [20] and cellular rasterization [17, 18] In the first ....

Lee, C.-N., Poston, T., and Rosenfeld, A. Holes and genus of 2d and 3d digital images. CVGIP: Graphical Models and Image Processing 55, 1 (Jan. 1993), 20--47.


A Throat Finding Algorithm for Medial Axis . . . - Shin (2002)   (Correct)

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C. N. Lee, T. Poston, and A. Rosenfeld. Holes and genus of 2d and 3d digital images. CVGIP: Graph. Models Image Process., 55:20-47, 1993. 73

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