Download Digital Image Processing: Mathematical and Computational by J M Blackledge PDF

By J M Blackledge

This authoritative textual content (the moment a part of an entire MSc direction) offers mathematical tools required to explain pictures, photo formation and diversified imaging platforms, coupled with the primary thoughts used for processing electronic photographs. it really is in keeping with a path for postgraduates examining physics, digital engineering, telecommunications engineering, details know-how and desktop technology. This publication relates the equipment of processing and studying electronic pictures to the ‘physics’ of imaging platforms. Case reviews strengthen the tools mentioned, with examples of present study subject matters.

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Resolution A characteristic of the point spread function. Distortion Determined by the accuracy of the mathematical model for the point spread function. Fuzziness Determined by the accuracy of the mathematical model for the object function. Noise Determined by the accuracy of the convolution model for the data. Golden rule of digital image processing Rubbish in gives rubbish out. Further Reading • Rosenfeld A and Kak A C, Digital Picture Processing, Academic Press, 1980. • Huang T S (Ed), Two-dimensional Digital Signal Processing, Topics in Applied Physics, Vol 43, Springer-Verlag, 1981.

E, JJ L L f(x, y) exp( -ipx7f/ L) exp( -iqy7f/ L)dxdy -L-L JJ L = LLC n m nm L exp[i(n-p)x7f/L]exp[i(m-q)Y7f/L]dxdy. -L-L 32 CHAPTER 2. 2D FOURIER THEORY The integral on the RHS is equal to = (2L)2sin11"(n-p)sin11"(m-q) 11"(n-p) = {(2L)2, n 11"(m-q) 0, =p and m otherwise and all terms on the RHS vanish except for the case when n leaving us with the result L Cn m = (2~)2 = q; = m and p = q L JJ f(x,y)exp(-inx11"/L)exp(-imY11"/L)dxdy. -L-L Thus, the complex Fourier series for a 2D signal with a period of 2L is f(x, y) = I:I: Cn m exp(inx11"/ L) exp(imY11"/ L) m n where L Cn m = (2~)2 L JJ f(x, y) exp(-inx11"/I) exp(-i,nY11"/L)dxdy.

Image Processing II: Mathematical Methods, Algorithms and Applications, Horwood Publishing Series: Mathematics and Applications, 1999. ) Image Processing III: Mathematical Methods, Algorithms and Applications, Horwood Publishing Series: Mathematics and Applications, 2001. Part I Mathematical and Computational Background 22 Chapter 1 Vector Fields Vector fields have an algebra and calculus that is used extensively in multidimensional field theory. The essential elements of vector calculus are the operators grad, div and curl, surface and volume integrals and theorems associated with these integrals such as the divergence theorem.

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