001441934 000__ 03337cam\a2200541Ii\4500 001441934 001__ 1441934 001441934 003__ OCoLC 001441934 005__ 20230309003350.0 001441934 006__ m\\\\\o\\d\\\\\\\\ 001441934 007__ cr\un\nnnunnun 001441934 008__ 220330s2021\\\\si\\\\\\ob\\\\000\0\eng\d 001441934 020__ $$a9789811657726$$q(electronic bk.) 001441934 020__ $$a9811657726$$q(electronic bk.) 001441934 020__ $$z9789811657719 001441934 020__ $$z9811657718 001441934 0247_ $$a10.1007/978-981-16-5772-6$$2doi 001441934 035__ $$aSP(OCoLC)1306277103 001441934 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dOCLCO$$dOCLCQ 001441934 049__ $$aISEA 001441934 050_4 $$aTA1637$$b.K68 2021 001441934 08204 $$a006.6$$223 001441934 1001_ $$aKovalevskiĭ, V. A.,$$eauthor. 001441934 24510 $$aImage processing with cellular topology /$$cVladimir Kovalevsky. 001441934 264_1 $$aSingapore :$$bSpringer,$$c[2021] 001441934 264_4 $$c©2021 001441934 300__ $$a1 online resource 001441934 336__ $$atext$$btxt$$2rdacontent 001441934 337__ $$acomputer$$bc$$2rdamedia 001441934 338__ $$aonline resource$$bcr$$2rdacarrier 001441934 504__ $$aIncludes bibliographical references. 001441934 5050_ $$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. 001441934 506__ $$aAccess limited to authorized users. 001441934 520__ $$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 which leads to errors? This book addresses all above questions and provide the answers. 001441934 588__ $$aDescription based on print version record. 001441934 650_0 $$aImage processing. 001441934 650_0 $$aImage processing$$xMathematics. 001441934 650_0 $$aAlgebraic topology. 001441934 650_6 $$aTraitement d'images. 001441934 650_6 $$aTraitement d'images$$xMathématiques. 001441934 650_6 $$aTopologie algébrique. 001441934 655_0 $$aElectronic books. 001441934 77608 $$iPrint version:$$aKovalevskiĭ, V. A..$$tImage processing with cellular topology.$$dSingapore : Springer, 2022$$z9789811657719$$w(OCoLC)1295103876 001441934 852__ $$bebk 001441934 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-5772-6$$zOnline Access$$91397441.1 001441934 909CO $$ooai:library.usi.edu:1441934$$pGLOBAL_SET 001441934 980__ $$aBIB 001441934 980__ $$aEBOOK 001441934 982__ $$aEbook 001441934 983__ $$aOnline 001441934 994__ $$a92$$bISE