Mapping Image Properties into Shape Constraints: Skewed Symmetry, Affine-Transformable Patterns, and the Shape-from-Texture Paradigm

Takeo Kanade and J.R. Kender
Human and Machine Vision, A. Rosenfeld et. al, ed., Academic Press, 1991, pp. 237-257.


Download
  • Adobe portable document format (pdf) (599KB)
Copyright notice: This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. These works may not be reposted without the explicit permission of the copyright holder.

Abstract
In this paper we demonstrate two new approaches to deriving three-dimensional surface orientation information ("shape") from two-dimensional image cues. The two approaches are the method of affine-transformable patterns and the shape-from-texture paradigm. They are introduced by a specific application common to both: the concept of skewed symmetry. Skewed symmetry is shown to constrain the relationship of observed distortions in a known object regularity to a small subset of possible underlying surface orientations. Besides this constraint, valuable in its own right, the two methods are shown to generate other surface constraints as well. Some applications are presented of skewed symmetry to line drawing analysis, to the use of gravity in shape understanding. and to global shape recovery.

Notes
Associated Center(s) / Consortia: Vision and Autonomous Systems Center

Text Reference
Takeo Kanade and J.R. Kender, "Mapping Image Properties into Shape Constraints: Skewed Symmetry, Affine-Transformable Patterns, and the Shape-from-Texture Paradigm," Human and Machine Vision, A. Rosenfeld et. al, ed., Academic Press, 1991, pp. 237-257.

BibTeX Reference
@incollection{Kanade_1991_2386,
   author = "Takeo Kanade and J.R. Kender",
   editor = "A. Rosenfeld et. al",
   title = "Mapping Image Properties into Shape Constraints: Skewed Symmetry, Affine-Transformable Patterns, and the Shape-from-Texture Paradigm",
   booktitle = "Human and Machine Vision",
   pages = "237-257",
   publisher = "Academic Press",
   year = "1991",
}