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  1. Imaging Using Wave Theory 10.1 INTRODUCTION In geometrical optics we used the thin lens equation to find the image point of an object point when using a thin lens of focal length f. Using wave theory we assume that Huygens’wavelets emerge from each point of the object and travel to the lens.

  2. The following examples are typical image processing setup using various types of spatial frequency filters: (a) Low pass filter: A circular aperture in the Fourier plane will block the high

  3. during the last ten years have led to many new wavelet applications such as image compression, turbulence, human vision, radar, and earthquake prediction. This paper introduces wavelets to the interested technical person outside of the digital signal processing fleld. I describe the history of

  4. In MRA, a scaling function is used to create a series of approximations of a signal each differing a factor of 2 in resolution from its nearest neighbour approximation. Additional functions, called wavelets are then used to encode the difference between adjacent approximations.

  5. Image: a visual representation in form of a function f(x,y) where f is related to the brightness (or color) at point (x,y) Most images are defined over a rectangle. Continuous in amplitude and space.

  6. Image Processing Fundamentals 2 We begin with certain basic definitions. An image defined in the “real world” is considered to be a function of two real variables, for example, a(x,y) with a as the amplitude (e.g. brightness) of the image at the real coordinate position (x,y). An

  7. It is the cornerstone upon which signal and image processing is built. This short chapter can not be a comprehensive survey of linear algebra; it is meant only as a brief introduction and re-view.

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