Digital image formation.ppt - Mathematical Imaging Lecture 1 Introduction to mathematical image processing What is our goal in Math Mathematical Image

Digital image formation.ppt - Mathematical Imaging Lecture...

This preview shows page 1 - 7 out of 29 pages.

Mathematical Imaging Lecture 1: Introduction to mathematical image processing
Image of page 1

Subscribe to view the full document.

What is our goal in Math? Mathematical + Image Processing IMAGE PROCESSING TASKS: Denoising, Segmentation, Registration, Compression,… MATHEMATICS: Linear algebra, Calculus, transformation,…
Image of page 2
What is our goal in Math 3360? Topic to be covered: Introduction to digital images and imaging problems: Digital images, point spread functions, image transformation, separable, shift-invariant etc. Image compression by image decomposition: SVD, Haar transform, Walsh tranform, DFT, DCT, EDCT, ODCT, FFT Image denoising: What’s noise? Denoising in the spatial domain: Linear/non-linear filtering, anisotropic diffusion, energy minimization method (famous ROF model); Denoising in the frequency domain: High-pass/low-pass filtering Image deblurring: Inverse filtering, Weiner filter, Constrained least-square filtering Image segmentation: Active contour; Famous Chan-Vese segmentation model Image contrast enhancement: Histogram equalization, histogram matching
Image of page 3

Subscribe to view the full document.

Some tastes about IMAGING Image denoising: Image can be corrupted by “noises” during transmission or error during capturing the image intensity Reconstruct a “clean” (usually visually) image from the noisy one
Image of page 4
Some tastes about IMAGING Image denoising: Where is the MATHEMATICS ? Minimization model: Solving PDE: Don’t worry about the mathematics! You will learn it (simple version) and find it easy later!
Image of page 5

Subscribe to view the full document.

Some tastes about IMAGING Image segmentation: Image may contain too much information.
Image of page 6
Image of page 7
  • Fall '17
  • Dr.hatem

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask You can ask ( soon) You can ask (will expire )
Answers in as fast as 15 minutes