Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#264938] of Guillermo Sapiro

Papers Published

  1. Chung, DH; Sapiro, G, On the level lines and geometry of vector-valued images, IEEE Signal Processing Letters, vol. 7 no. 9 (2000), pp. 241-243, ISSN 1070-9908 [doi]
    (last updated on 2017/12/14)

    In this letter, we extend the concept of level lines of scalar images to vector-valued data. Consistent with the scalar case, we define the level-lines of vector-valued 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 vector-valued images with a scalar image.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320