Thomas B. Moeslund's Introduction to Video and Image Processing: Building Real PDF

By Thomas B. Moeslund

ISBN-10: 1447125037

ISBN-13: 9781447125037

With a view to construct winning video processing platforms, you will need to give some thought to not just conventional photograph processing equipment, but in addition ideas which account for temporal aspects.

This creation to Video and picture Processing offers the basic techniques and strategies in an precise, easy-to-read type which guarantees the cloth is offered to a large viewers. Exploring greater than simply the fundamentals of photo processing, the textual content offers a particular specialise in the sensible layout and implementation of genuine structures for processing video data.

Topics and features:
* contains greater than a hundred routines, in addition to C-code snippets of the most important algorithms
* Equips the reader with an exceptional starting place for knowing and dealing with photos and video, together with simple tools for snapshot manipulation and photo analysis
* Covers subject matters on photograph acquisition, colour photos, element processing, local processing, morphology, BLOB research, segmentation in video, monitoring, geometric transformation, and visible effects
* calls for just a minimum realizing of mathematics
* provides chapters devoted to functions, during which the various tools are utilized in genuine platforms, supported by way of extra program examples at an linked website
* offers a consultant to defining appropriate values for parameters in video and picture processing structures, and to conversion among the RGB colour illustration and the HIS, HSV and YUV/YCbCr colour representations

This concise and easy-to-follow textbook/reference is a perfect creation to the topic for either first-year engineering scholars and for non-engineering scholars and not using a robust mathematical historical past. compatible for self-study, execs open air of the sphere also will locate the paintings an exceptional evaluation of the fundamentals.

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Example text

The variables r, θ, φ are then called separated variables. The 1-form α restricted on Mf is then obviously closed. 8 The Euler top and have simple time evolution with respective frequencies (1, 0, 0) by eq. 4). Hence ψJ 2 and ψJ3 remain constant, while ψH = t − t0 . This gives the standard formula for the Kepler motion: t − t0 = r dr 2 H − V (r) − J2 r2 Note that the constancy of ψJ3 implies: J3 φ˙ = 2 sin θ J2 − J32 sin2 θ θ˙ This, in turn, implies the conservation of J1 , J2 : J1 = −J3 cot θ cos φ − sin φ J2 − J32 sin2 θ J2 = −J3 cot θ sin φ + cos φ J2 − J32 sin2 θ so that the motion takes place in the plane perpendicular to J, as expected.

Example. Let us give an example of this construction in the simple example of the harmonic oscillator. The Lax matrix L is given in eq. 8) and we introduce the action–angle coordinates ρ, θ as in eq. 3). In these coordinates the matrix L is diagonalized by: U = U −1 = cos 2θ sin 2θ sin 2θ − cos 2θ Since {U1 , U2 } = 0, r12 = q12 , which is easily computed to be: r12 = ω 2ρ2 0 −1 1 0 ⊗L It is easy to verify that this r-matrix indeed satisfies eq. 10). Let us notice that it is a dynamical r-matrix, which means that it depends explicitly on the dynamical variables.

20). The Lax matrix can thus be interpreted as belonging to the coadjoint orbit of the element A− (λ) of G ∗ under the loop group G. 21) This shows that the equation of motion is a flow on the coadjoint orbit. 3 Coadjoint orbits and Hamiltonian formalism 43 Coadjoint orbits in G ∗ are equipped with the canonical Kostant–Kirillov symplectic structure. Choosing two linear functions h1 (Ξ) = Ξ(X) and h2 (Ξ) = Ξ(Y ) with X, Y ∈ G, so that dh1 = X and dh2 = Y , the Kostant–Kirillov Poisson bracket reads: {Ξ(X), Ξ(Y )} = Ξ([X, Y ]) where the right-hand side is the linear function Ξ → Ξ([X, Y ]).

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Introduction to Video and Image Processing: Building Real Systems and Applications (Undergraduate Topics in Computer Science) by Thomas B. Moeslund

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