By Reneta P. Barneva, Bhargab B. Bhattacharya, Valentin E. Brimkov

ISBN-10: 3319261444

ISBN-13: 9783319261447

ISBN-10: 3319261452

ISBN-13: 9783319261454

This quantity constitutes the refereed complaints of the seventeenth foreign Workshop on Combinatorial snapshot research, IWCIA 2015, held in Kolkata, India, in November 2015.

The 24 revised complete papers and a pair of invited papers offered have been rigorously reviewed and chosen from a number of submissions. The workshop offers theoretical foundations and strategies for fixing difficulties from a number of components of human perform. not like conventional techniques to picture research which enforce non-stop versions, flow mathematics and rounding, combinatorial snapshot research positive factors discrete modelsusing integer mathematics. The constructed algorithms are in response to learning combinatorial houses of periods of electronic photos, and sometimes seem to be extra effective and exact than these in accordance with non-stop models.

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**Extra info for Combinatorial Image Analysis: 17th International Workshop, IWCIA 2015, Kolkata, India, November 24-27, 2015. Proceedings**

**Example text**

Two reductions are said to be equivalent if they produce the same result for each input picture. Similarly, a deletion rule is called equivalent if it yields equivalent parallel and sequential reductions. One of the authors established some suﬃcient conditions for equivalent deletion rules [21]. This concept can be extended to complex algorithms composed of reductions: two surface-thinning algorithms are called equivalent if they produce the same medial surface for each input picture. P. Barneva et al.

28–35. T. Herman et al. 28. : Relative fuzzy connectedness among multiple objects: theory, algorithms, and applications in image segmentation. Comput. Vis. Image Und. 82, 42–56 (2001) 29. : Fuzzy clustering of color textures using skew divergence and compact histograms: segmenting thin rock sections. J. Phys. Conf. Ser. 574, 012116 (2015) 30. : Intrathoracic airway trees: segmentation and airway morphology analysis from low-dose CT scans. IEEE Trans. Med. Imaging 24, 1529–1539 (2005) 31. : Relative fuzzy connectedness and object deﬁnition: theory, algorithms, and applications in image segmentation.

3. The parallel surface-thinning algorithm P-6-SI-i is topology-preserving for (26, 6) pictures (i = 1, 2, 3, 4). 4. , they produce the same result for each input picture (i = 1, 2, 3, 4). Note that Lemma 2 is valid for arbitrary constraint sets — not only for the four kinds of sets that are used by algorithms (S-6-SI-i, P-6-SI-i) (i = 1, 2, 3, 4). Other constraint sets coupled with the set of templates depicted in Fig. 2 yield additional pairs of equivalent 6-subiteration parallel and sequential thinning algorithms.

### Combinatorial Image Analysis: 17th International Workshop, IWCIA 2015, Kolkata, India, November 24-27, 2015. Proceedings by Reneta P. Barneva, Bhargab B. Bhattacharya, Valentin E. Brimkov

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