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024 7 _a10.1007/978-981-16-5772-6
_2doi
050 4 _aTA1637-1638
072 7 _aTJF
_2bicssc
072 7 _aUYT
_2bicssc
072 7 _aCOM012050
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072 7 _aTJF
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082 0 4 _a621,382
_223
100 1 _aKovalevsky, Vladimir.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aImage Processing with Cellular Topology
_h[electronic resource] /
_cby Vladimir Kovalevsky.
250 _a1st ed. 2021.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2021.
300 _aXI, 184 p. 1 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aChapter 1. Introduction -- Chapter 2. Boundary Presentation Using Abstract Cell Complexes -- Chapter 3. Boundary Tracing in Binary Images Using Cell Complexes -- Chapter 4. Boundary Tracing and Encoding in Color Images -- Chapter 5. Boundary Polygonization -- Chapter 6. Edge Detection in 2D Images -- Chapter 7. Surface Traversing and Encoding in 3D Images -- Chapter 8. Edge Detection in 3D Images -- Chapter 9. Discussion.
520 _aThis book explains why the finite topological space known as abstract cell complex is important for successful image processing and presents image processing methods based on abstract cell complex, especially for tracing and encoding of boundaries of homogeneous regions. Many examples are provided in the book, some teach you how to trace and encode boundaries in binary, indexed and colour images. Other examples explain how to encode a boundary as a sequence of straight-line segments which is important for shape recognition. A new method of edge detection in two- and three-dimensional images is suggested. Also, a discussion problem is included in the book: A derivative is defined as the limit of the relation of the increment of the function to the increment of the argument as the latter tends to zero. Is it not better to estimate derivatives as the relation of the increment of the function to the optimal increment of the argument instead of taking exceedingly small increment whichleads to errors? This book addresses all above questions and provide the answers.
650 0 _aImage processing.
650 0 _aTopology.
650 0 _aManifolds (Mathematics).
650 1 4 _aImage Processing.
650 2 4 _aTopology.
650 2 4 _aManifolds and Cell Complexes.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789811657719
776 0 8 _iPrinted edition:
_z9789811657733
776 0 8 _iPrinted edition:
_z9789811657740
856 4 0 _uhttps://doi.org/10.1007/978-981-16-5772-6
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
999 _c178703
_d178703