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Visual Form pp 267–274Cite as

A New Approach to Affine Transform Invariant Shape Matching

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Abstract

In this paper a new approach to affine transform invariant matching of curvilinear contours is presented. In pattern recognition this matching problem has to be solved if plane objects arbitraily oriented in the 3D space are to be identified.

The approach is based on a new method of decomposing a shape into sections, which could be segmented invariant to affine transforms. For contour matching these sections of a curve will be used. These sections we will call form elements. For every contour an attributed relational model is constructed. Therefore the matching problem is reduced to that of comparing attributed relational descriptions. In a rough survey the matching procedure is shown. For that the best association of nodes is searched. This association allows to compute all parameters of the affine transform.

The feasibility of the approach is demonstrated for real plane objects.

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References

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© 1992 Springer Science+Business Media New York

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Frydrychowicz, S. (1992). A New Approach to Affine Transform Invariant Shape Matching. In: Arcelli, C., Cordella, L.P., di Baja, G.S. (eds) Visual Form. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0715-8_26

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  • DOI: https://doi.org/10.1007/978-1-4899-0715-8_26

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-0717-2

  • Online ISBN: 978-1-4899-0715-8

  • eBook Packages: Springer Book Archive

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