Curvature consistency improves local shading analysis

The authors describe how a surface reconstruction algorithm based on minimizing the variation of surface curvature can be used to stabilize and correct the results of local shading analysis. The approach is viewpoint independent and applicable to any process that can provide estimates of local surface orientation. The assumptions used in formulating the minimization are derived from standard differential geometry. When applied as a second stage of processing after local shading analysis, the algorithm can recover a close approximation of the true surface orientation under realistic assumptions about image noise. Results are presented that show the performance of the algorithm on synthetic and real data. In particular, they demonstrate how this form of reconstruction can compensate for some of the shape distortion incurred in local shading analysis.<<ETX>>

[1]  Rama Chellappa,et al.  A Method for Enforcing Integrability in Shape from Shading Algorithms , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Paul J. Besl,et al.  Segmentation through symbolic surface descriptions , 1986 .

[3]  Katsushi Ikeuchi,et al.  Numerical Shape from Shading and Occluding Boundaries , 1981, Artif. Intell..

[4]  Frank P. Ferrie,et al.  Deriving course 3D models of objects , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

[5]  Michael J. Brooks,et al.  Shape and Source from Shading , 1985, IJCAI.

[6]  Donald D. Hoffman,et al.  Parts of recognition , 1984, Cognition.

[7]  Alex Pentland,et al.  Shading into Texture , 1984, Artif. Intell..

[8]  Anna R. Bruss The Image Irradiance Equation: Its Solution and Application , 1981 .

[9]  Manfredo P. do Carmo,et al.  Differential geometry of curves and surfaces , 1976 .

[10]  P. Whaite,et al.  Darboux frames, snakes, and super-quadrics: geometry from the bottom-up , 1989, [1989] Proceedings. Workshop on Interpretation of 3D Scenes.

[11]  M.D. Levine,et al.  Where and Why Local Shading Analysis Works , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  Alex Pentland,et al.  Local Shading Analysis , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[13]  Steven W. Zucker,et al.  Trace Inference, Curvature Consistency, and Curve Detection , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[14]  Alex Pentland,et al.  Shape Information From Shading: A Theory About Human Perception , 1988, [1988 Proceedings] Second International Conference on Computer Vision.