Math @ Duke

Publications [#264938] of Guillermo Sapiro
Papers Published
 Chung, DH; Sapiro, G, On the level lines and geometry of vectorvalued images,
Ieee Signal Processing Letters, vol. 7 no. 9
(2000),
pp. 241243, ISSN 10709908 [doi]
(last updated on 2018/09/22)
Abstract: In this letter, we extend the concept of level lines of scalar images to vectorvalued data. Consistent with the scalar case, we define the levellines of vectorvalued images as the integral curves of the directions of minimal vectorial change. This direction, and the magnitude of the change, are computed using classical Riemannian geometry. As an example of the use of this new concept, we show how to visualize the basic geometry of vectorvalued images with a scalar image.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

