| 1. |
- Lindblad, Joakim, et al.
(author)
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Feature Based Defuzzification at Increased Spatial Resolution
- 2006
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In: Combinatorial Image Analysis. - Berlin, Heidelberg : Springer Berlin Heidelberg. - 9783540351535 ; , s. 131-143
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Conference paper (peer-reviewed)abstract
- Defuzzification of fuzzy spatial sets by feature distance minimization, recently proposed as an alternative to crisp segmentation, is studied further. Fully utilizing information available in a fuzzy (discrete) representation of a continuous shape, we present an improved defuzzification method, such that the crisp discrete representation of a fuzzy set is generated at an increased spatial resolution, compared to the resolution of the fuzzy set. The correspondence between a fuzzy and a crisp set is established through a distance between their representations based on selected features, where the different resolutions of the images to compare are taken into account. The performance of the method is tested on both synthetic and real images.
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| 2. |
- Nagy, Benedek, et al.
(author)
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Approximating Euclidean Distance Using Distances based on Neighbourhood Sequences in Non-Standard Three-Dimensional Grids.
- 2006
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In: Proceedings Combinatorial Image Analysis. - Berlin, Heidelberg : Springer Berlin Heidelberg. - 9783540351535 ; , s. 89-100
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Conference paper (peer-reviewed)abstract
- In image processing, it is often of great importance to have small rotational dependency for distance functions. We present an optimization for distances based on neighbourhood sequences for the face-centered cubic (fcc) and body-centered cubic (bcc) grids. In the optimization, several error functions are used measuring different geometrical properties of the balls obtained when using these distances.
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| 3. |
- Stelldinger, Peer, et al.
(author)
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Topology Preserving Digitization with FCC and BCC Grids
- 2006
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In: Proceedings Combinatorial Image Analysis: 11th International Workshop, IWCIA 2006. - Berlin, Heidelberg : Springer Berlin Heidelberg. - 9783540351535 ; , s. 226-240
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Conference paper (peer-reviewed)abstract
- In digitizing 3D objects one wants as much as possible object properties to be preserved in its digital reconstruction. One of the most fundamental properties is topology. Only recently a sampling theorem for cubic grids could be proved which guarantees topology preservation [1]. The drawback of this theorem is that it requires more complicated reconstruction methods than the direct representation with voxels. In this paper we show that face centered cubic (fcc) and body centered cubic (bcc) grids can be used as an alternative. The fcc and bcc voxel representations can directly be used for a topologically correct reconstruction. Moreover this is possible with coarser grid resolutions than in the case of a cubic grid. The new sampling theorems for fcc and bcc grids also give absolute bounds for the geometric error.
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