A Closed Form Solution to the Reconstruction and Multi-View Constraints of the Degree d Apparent Contour

McKinnon, David, Jones, Barry and Lovell, Brian C. (2003). A Closed Form Solution to the Reconstruction and Multi-View Constraints of the Degree d Apparent Contour. In: Lovell, Brian C. and Maeder, Anthony J. Workshop on Digital Image Computing, Brisbane, (145-148). 7 February, 2003.

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Author McKinnon, David
Jones, Barry
Lovell, Brian C.
Title of paper A Closed Form Solution to the Reconstruction and Multi-View Constraints of the Degree d Apparent Contour
Conference name Workshop on Digital Image Computing
Conference location Brisbane
Conference dates 7 February, 2003
Publication Year 2003-01-01
Sub-type Fully published paper
Editor Lovell, Brian C.
Maeder, Anthony J.
Volume 1
Issue 1
Start page 145
End page 148
Abstract/Summary This paper presents a novel theoretical approach to calculating the apparent contour of a smooth surface. The problem is formulated as a dual space intersection of algebraic tangent cones, which we will consider to be the members of degree d hypersurfaces. The well known theoretical foundation for multi-view geometry is extended in light of this to solve the problems of triangulation and forming multi-view matching constraints for degree d apparent contours.
Subjects 280208 Computer Vision
Keyword iris-research
surface contours
References [1] G. Cross. Surface Reconstruction from Image Sequences : Texture and Apparent Contour Constraints. PhD thesis, University of Oxford, Trinity College, 2000. [2] W. Greub. Multilinear Algebra. Springer-Verlag, 1978. [3] R. I. Hartley and A. Zisserman. Multiple view geometry in computer vision. Cambridge University Press, 2000. [4] F. Kahl and A. Heyden. Using conic correspondences in two images to estimate the epipolar geometry. Int. Conf. on Computer Vision, 1998. [5] J. Y. Kaminski, M. Fryers, A. Shashua, and M. Teicher. Multiple view geometry of non-planar algebraic curves. Int. Conf. on Computer Vision, 2001. [6] L. Quan. Conic reconstruction and correspondence from two views. Transactions on Pattern Analysis and Machine Intelligence, 18(2), 1996. [7] T. W. Sederberg. Applications to computer aided design. In Proc. of Symposia in Applied Mathematics, volume 53, pages 67-89. AMS, 1998. [8] J. G. Semple and G. T. Kneebone. Algebraic Projective Geometry. Oxford University Press, 1952. [9] I. R. Shafarevich. Basic Algebraic Geometry. Springer-Verlag, 1974. [10] W. Triggs. The geometry of projective reconstruction i: Matching constraints and the joint image. Int. Conf. on Computer Vision, pages 338-343, 1995.
Q-Index Code E1
Q-Index Status Provisional Code
Institutional Status Unknown

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Created: Fri, 06 Feb 2004, 10:00:00 EST by Brian C. Lovell