Download Binary Digital Image Processing: A Discrete Approach by Stéphane Marchand-Maillet PDF
By Stéphane Marchand-Maillet
This booklet is aimed toward school, postgraduate scholars and experts. it truly is either a textual content reference and a textbook that reports and analyses the learn output during this box of binary photograph processing. it really is geared toward either complicated researchers in addition to teaching the beginner to this sector. The theoretical a part of this e-book contains the elemental rules required for binary electronic photograph research. the sensible half for you to take an algorithmic strategy addresses difficulties which locate functions past binary electronic line photo processing.The ebook first outlines the theoretical framework underpinning the research of electronic photograph processing with specific connection with these wanted for line snapshot processing. The theoretical instruments within the first a part of the e-book set the degree for the second one and 3rd components, the place low-level binary photo processing is addressed after which intermediate point processing of binary line pictures is studied. The booklet concludes with a few functional functions of this paintings via reviewing a few business and software program functions (engineering drawing garage and primitive extraction, fingerprint compression). The book:* outlines the theoretical framework underpinning the research of electronic photograph processing with specific connection with binary line photograph processing* addresses low-level binary photograph processing, reviewing a few crucial features of binary electronic pictures and delivering answer techniques and algorithms* contains precise experiences of themes in binary electronic picture processing with up to date study references on the subject of all the difficulties below research* comprises a few sensible purposes of this paintings by means of reviewing a few universal functions* covers a number of issues, organised by way of theoretical box instead of being pushed by means of challenge definitions
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Additional info for Binary Digital Image Processing: A Discrete Approach
Sample text
It is used to maintain consistency between radii of discrete and Euclidean discs. When using chamfer distances, a typical value is e = a. In this case, the discrete distance value along the horizontal and vertical directions from a given point is exact. 28 BINARY DIGITAL IMAGE PROCESSING Let dD -- da,b. e. ( x o , Yo) - (0, 0)). e. 22, it is easily seen that da,b(O, p) -- (Xp -- yp)a + ypb K;- ...................... /(b) t Ye ~. e. for all p such that Xp - K and 0 < yp < K). 23. e. a, b) met by the line ( x - K) are indicated between brackets.
S P (C) Geometrical explanation of the non-invariance of da,b Each of the points qi generally induces a different value for dE(p, qi). Let R be the m a x i m u m of these values, R - max,(dE(p, q~) and q C {q~} such that 34 BINARY DIGITAL IMAGE PROCESSING dE(p, q) -- R and da,b(P,q) -- D. 28(A), R - 1 0 a v / 2 - 30x/~ and q = ql. By definition of R, AE(p, R) is the minimal Euclidean disc that contains all the points in Aa,b(p,D) (Aa,b(p,D) C AE(p,R)). e. A - A E ( p , R ) - Aa,b(p,D) # 0). 28).
Conversely, any integer pair (Xp, yp) E ~ 2 represents 16 BINARY DIGITAL IMAGE PROCESSING a point on the square lattice. Therefore, there exists a one-to-one mapping from points on the square lattice to z~ 2. This property eases the definition of analytical expressions for discrete distances on the square lattice. 25 recalls the analytical expression of the Euclidean distance dE that is used as reference in both continuous and discrete spaces. 15. A number of discrete distances have been defined on the square lattice.