Line-Drawing Interpretation: Bilateral Symmetry

Results previously derived by the author are used to investigate the implication of bilateral symmetry in line drawings. It is shown that the line drawing of an orthographically protected surface of revolution exhibits bilateral symmetry about the projection of its axis of revolution irrespective of the viewing direction. Barring one exception, a bilaterally symmetric line drawing is necessarily the orthographic projection of a local surface of revolution whenever its symmetry axis continues to be the projection of a fixed line in space under perturbation of viewpoint; the axis of revolution is the invariant preimage of the symmetry axis. Various line-drawing causes are detailed which facilitate the deduction of invariant preimages of symmetry axes, and consequently of local surfaces of revolution. >

[1]  D. Marr,et al.  Analysis of occluding contour , 1977, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[2]  Alan L. Yuille,et al.  An Extremum Principle for Shape from Contour , 1983, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[3]  J. Koenderink,et al.  The Shape of Smooth Objects and the Way Contours End , 1982, Perception.

[4]  Takeo Kanade,et al.  Recovery of the Three-Dimensional Shape of an Object from a Single View , 1981, Artif. Intell..

[5]  Vishvjit S. Nalwa,et al.  Line-Drawing Interpretation: Straight Lines and Conic Sections , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[6]  Thomas O. Binford,et al.  Inferring Surfaces from Images , 1981, Artif. Intell..

[7]  Harry G. Barrow,et al.  Interpreting Line Drawings as Three-Dimensional Surfaces , 1980, Artif. Intell..

[8]  Kenneth J. Turner,et al.  Computer perception of curved objects using a television camera , 1974 .

[9]  J J Koenderink,et al.  What Does the Occluding Contour Tell Us about Solid Shape? , 1984, Perception.

[10]  Thomas O. Binford,et al.  The Recovery of Three-Dimensional Structure from Image Curves , 1985, IEEE Transactions on Pattern Analysis and Machine Intelligence.