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ANSIG --An Analytic Signature for Permutation-Invariant Two-Dimensional Shape Representation
 

Summary: ANSIG -- An Analytic Signature for Permutation-Invariant Two-Dimensional
Shape Representation
Jos´e J. Rodrigues Pedro M. Q. Aguiar
Jo~ao M. F. Xavier
Institute for Systems and Robotics / IST, Lisboa, Portugal
aguiar@isr.ist.utl.pt
Abstract
Many applications require a computer representation of
2D shape, usually described by a set of 2D points. The chal-
lenge of this representation is that it must not only capture
the characteristics of the shape but also be invariant to rele-
vant transformations. Invariance to geometric transforma-
tions, such as translation, rotation and scale, has received
attention in the past, usually under the assumption that the
points are previously labeled, i.e., that the shape is charac-
terized by an ordered set of landmarks. However, in many
practical scenarios the landmarks are obtained from an au-
tomatic process, e.g., edge/corner detection, thus without
natural ordering. In this paper, we represent 2D shapes in
a way that is invariant to the permutation of the landmarks.

  

Source: Aguiar, Pedro M. Q. - Institute for Systems and Robotics (Lisbon)

 

Collections: Engineering