Skip to main content

The Interface of Three Areas of Computer Science with the Mathematical Sciences Summary of a Workshop (2000) / Chapter Skim
Currently Skimming:

2. A Visionary Session
Pages 7-11

The Chapter Skim interface presents what we've algorithmically identified as the most significant single chunk of text within every page in the chapter.
Select key terms on the right to highlight them within pages of the chapter.


From page 7...
... Human viewers get clues from stereo vision, symmetries, prior expectations, and the multiple views imparted by motion, and these are the basic tools that underlie computer reconstructions, too (Problems 10, 1 1, and 12~. Problem ~ O
Read the entire page →
From page 8...
... , but a top-down approach can also be useful: for instance, if the first processing steps suggest that a human figure is present, a top-down model might then be invoked to list body parts that ought to be in the scene, and perhaps to suggest where on the image the pixels might constitute a face. Segmentation also can be performed by surface fitting or by probabilistic inference with a Markov random field model.
Read the entire page →
From page 9...
... We must reason about what we sees using static and dynamic analysis to identify objects and to refine hypotheses after further observations. - 7 -- — ~ — a, _, ~ _' Differential Equation Models in Vision Guillermo Sapiro of the University of Minnesota discussed some applications of partial differential equations to vision.
Read the entire page →
From page 10...
... Compress images subject to constraints that preserve certain critical features such as coastlines. Problem 23 Create physical models and structural models with elastic component parts that capture the function of a complicated deformable object such as the human face.
Read the entire page →
From page 11...
... Jitendra Malik noted that the connection between theoretical computer science and combinatorics has not yet been fully exploited. In order to make progress in computer vision, researchers need to jump from continuous formulations to discrete ones and back, giving an even greater opportunity for interplay.
Read the entire page →

Key Terms

  • vision researchers
  • image processing
  • partial differential
  • visual control
  • differential equations

  • jitendra malik
  • differential equation
  • human viewers
  • davis noted
  • sometimes shape

  • determine objects
  • european conference
  • solving diffusion
  • neutral networks
  • rich interaction

  • steps suggest
  • stereo correspondence
  • current algorithms
  • computational math
  • fast approximate

  • approximate energy
  • guillermo sapiro
  • laws involving
  • level set
  • larry davis

  • computer reconstructions
  • vision arise
  • facing computer
  • avoid instabilities
  • biological vision


    • This material may be derived from roughly machine-read images, and so is provided only to facilitate research.
    More information on Chapter Skim is available.