Abstract
We present methods for the global reconstruction of some classes of special surfaces. The contour ending (cusp on the apparent contour) is tracked under a dynamic monocular perspective observer. The classes of surfaces considered are surfaces of revolution (SOR), canal surfaces and ruled surfaces. This paper presents theoretical methods for surface reconstruction and error analysis of reconstruction under noise. We find the techniques used exhibit stability even under large noise. This work has added to the accumulating body of work that has arisen in the computer vision community, concerning the differential geometric aspects of special surface classes.
Chapter PDF
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
J.W.Bruce, P.J.Giblin, F.Tari, 'special surfaces and their duals; preliminary version', Liverpool University Preprint. (1995).
R.Cipolla and A.Blake, ‘Surface shape from deformation of apparent contours', Int. J. of Computer Vision 9 (1992), 83–112.
R.Cipolla, G.Fletcher, P.Giblin, 'surface geometry from cusps of apparent contours', Proc. Fifth Int. Conf. on Computer Vision, Cambridge, Mass, June 1995, pp.858–863.
R.Cipolla, G.Fletcher, P.Giblin, ‘Following Cusps', to appear in Int.J.Computer Vision.
R.Cipolla, K.E.Åström and P.J.Giblin, ‘Motion from the frontier of curved surfaces', Proc. Fifth Int. Conf. on Computer Vision, Cambridge, Mass, June 1995, pp.269–275
D.A.Forsyth, J.L.Mundy, A.Zisserman, C.A.Rothwell, ‘Recognising rotationally symmetric surfaces from their outlines', Proc. Second European Conf. on Computer Vision, Santa Margherita Ligure (Italy), pp.639–647, May 1992.
R.Glachet, M.Dhome, J.T.Lapreste, ‘Finding the pose of an object of revolution', Proc. Second European Conf. on Computer Vision, Santa Margherita Ligure (Italy), pp.681–686, May 1992.
J.J.Koenderink, Solid Shape, M.I.T.Press 1990.
B.O'Neill, Elementary Differential Geometry, Academic Press 1966.
J.Ponce, ‘Invariant properties of straight homogeneous generalized cylinders'. IEEE PAMI, vol.11,no.9,pp.951–965, 1989.
J.Ponce, D.Chelberg, ‘Finding the limbs and cusps of Generalized Cylinders.’ Int. J.Comp. Vision 1, (1987) 195–210.
J.H.Rieger,'Projections of generic surfaces of revolution', Geometriae Dedicata, 1993, Vol.48, No.20, pp.211–230.
A.Zisserman, J.Mundy, D.Forsyth, J.Liu, N.Pillow, C.Rothwell and S.Utcke, ‘Class-Based Groupings in Perspective Images', Proc. Fifth Int. Conf. on Computer Vision, Cambridge, Mass, June 1995.
M.Zerroug, R.Nevatia, ‘Segmentation and recovery of SHGCs from a real intensity image.', Proc. Third European Conf. on Computer Vision, Stockholm, Sweden Vol.I pp.319–330, May 1994.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Fletcher, G.J., Giblin, P.J. (1996). Class based reconstruction techniques using singular apparent contours. In: Buxton, B., Cipolla, R. (eds) Computer Vision — ECCV '96. ECCV 1996. Lecture Notes in Computer Science, vol 1064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0015527
Download citation
DOI: https://doi.org/10.1007/BFb0015527
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61122-6
Online ISBN: 978-3-540-49949-7
eBook Packages: Springer Book Archive