'Dirac delta function' diaporamas de présentation

Fourier Transform in Image Processing

Fourier Transform in Image Processing. Review - Image as a Function. We can think of an image as a function, f , f: R 2 ? R f ( x, y ) gives the intensity at position ( x, y ) Realistically, we expect the image only to be defined over a rectangle, with a finite range:

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38655 BMED-2300-02 Lecture 4: Convolution Ge Wang, PhD Biomedical Imaging Center

38655 BMED-2300-02 Lecture 4: Convolution Ge Wang, PhD Biomedical Imaging Center CBIS/BME , RPI wangg6@rpi.edu January 26, 2018. BB Schedule for S18. Office Hour: Ge Tue & Fri 3-4 @ CBIS 3209 | wangg6@rpi.edu Kathleen Mon 4-5 & Thurs 4-5 @ JEC 7045 | chens18@rpi.edu. Outline.

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Derivative of any function f(x,y,z) :

Differential Calculus (revisited):. Derivative of any function f(x,y,z) :. Gradient of function f. Gradient of a function. Change in a scalar function f corresponding to a change in position dr. ? f is a VECTOR. Geometrical interpretation of Gradient. Z. P. Q. dr. Y.

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LAPLACE TRANSFORMS

LAPLACE TRANSFORMS. Prepared by Mrs. Azduwin Binti Khasri. LAPLACE TRANSFORMS. A mathematical tool. Important analytical method for solving LINEAR ORDINARY DIFFERENTIAL EQUATIONS. Application to nonlinear ODEs? Must linearize first. Transform ODEs to algebraic equation.

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Inverse Laplace Transform

Consider a given function F(s), is it possible to find a function f(t) defined on [0, ? ), such that If this is possible, we say f(t) is the inverse Laplace transform of F(s), and we write . Inverse Laplace Transform.

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Inverse Laplace Transform

Consider a given function F(s), is it possible to find a function f(t) defined on [0, ? ), such that If this is possible, we say f(t) is the inverse Laplace transform of F(s), and we write . Inverse Laplace Transform.

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Laplace Transforms

Laplace Transforms. Important analytical method for solving linear ordinary differential equations. - Application to nonlinear ODEs? Must linearize first. Laplace transforms play a key role in important process control concepts and techniques. - Examples: Transfer functions

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ME 440 Intermediate Vibrations

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Convolution, Impulse Response, Filters

Convolution, Impulse Response, Filters. In Chapter 5 we Had our first look at LTI systems Considered discrete-time systems, some SISO, some MIMO In Chapter 8 we Revisited SISO discrete-time systems, and considered SISO continuous time systems, with complex inputs and outputs

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EE104: Lecture 8 Outline

EE104: Lecture 8 Outline. Review of Last Lecture Convolution Review Signal Bandwidth Dirac Delta Function and its Properties Filter Impulse and Frequency Response. Review of Last Lecture. Time Scaling Duality Frequency Shifting (Modulation) Multiplication ? Convolution

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The Dirac Delta Function

The Dirac Delta Function. The Dirac delta or Dirac's delta is a mathematical construct introduced by theoretical physicist Paul Dirac. Informally, it is a generalized function representing an infinitely sharp peak bounding unit area: a

1.88k views • 5 slides