Title :
A new operator for image structure analysis
Author :
Sukanya, Phongsuphap ; Takamatsu, Ryo ; Sat, Makoto
Author_Institution :
Precision & Intell. Lab., Tokyo Inst. of Technol., Japan
Abstract :
In this paper, we propose a new operator called shape operator for describing image structure. We consider an image function as a surface, then describe a shape of each pixel comparing with its neighbourhood in terms of topographical shapes such as hill, dale, ridge, valley, etc. The shape operator is established by utilizing the eigenvalues of Hessian of an image function. We show how to derive this operator, and its interesting properties. Finally, we illustrate by examples how the shape operator can give the same interpretation of an image although the image is corrupted by shading effects, and how it can give the same interpretation of an image viewed in different viewpoints
Keywords :
Hessian matrices; eigenvalues and eigenfunctions; image representation; mathematical operators; surface topography; Hessian matrix; eigenvalues; image function; image representation; image structure analysis; shading effects; shape operator; topographical shapes; Computer vision; Eigenvalues and eigenfunctions; Face detection; Image analysis; Image reconstruction; Laboratories; Pixel; Robustness; Shape; Surface topography;
Conference_Titel :
Image Processing, 1996. Proceedings., International Conference on
Conference_Location :
Lausanne
Print_ISBN :
0-7803-3259-8
DOI :
10.1109/ICIP.1996.560570