000			nam a22 4500
999			_c33158 _d33158
008			240404b xxu||||| |||| 00| 0 eng d
020			_a9789811248290 _chbk.
082			_a006.6 _bKIS
100			_aKiselman, Christer Oscar
245			_aElements of digital geometry, mathematical morphology, and discrete optimization
260			_bWorld Scientific, _c2022 _aNew Jersey :
300			_axxiii, 641 p. ; _bill. (some col.), _c24 cm.
365			_b158.00 _c$ _d86.30
504			_aIncludes bibliographical references and indexes.
520			_aThe author presents three distinct but related branches of science in this book: digital geometry, mathematical morphology, and discrete optimization. They are united by a common mindset as well as by the many applications where they are useful. In addition to being useful, each of these relatively new branches of science is also intellectually challenging. The book contains a systematic study of inverses of mappings between ordered sets, and so offers a uniquely helpful organization in the approach to several phenomena related to duality. To prepare the ground for discrete convexity, there are chapters on convexity in real vector spaces in anticipation of the many challenging problems coming up in digital geometry. To prepare for the study of new topologies introduced to serve in discrete spaces, there is also a chapter on classical topology. The book is intended for general readers with a modest background in mathematics and for advanced undergraduate students as well as beginning graduate students.
650			_aApplications mathematics
650			_aComputer graphics Mathematics
650			_aDigital filters
650			_aDiscrete mathematics
650			_aGeometry data processing
650			_aImage processing
650			_aDigital techniques mathematics
650			_aMappings
650			_aDigital straightness;
650			_aDigital geometry
650			_aMathematical morphology
650			_aDiscrete optimization
650			_aDiscrete convexity
942			_2ddc _cBK