In: CVPR 2013, Workshopsįunk C, Lee S, Oswald MR, Tsokas S, Shen W, Cohen A, Dickinson S, Liu Y (2017) ICCV challenge: detecting symmetry in the wild. Liu J, Slota G, Zheng G, Wu Z, Park M, Lee S, Rauschert I, Liu Y (2013) Symmetry detection from realworld images competition 2013: summary and results. Institute of Electrical and Electronics Engineers (IEEE) Harguess J, Aggarwal JK (2011) Is there a connection between face symmetry and face recognition? In: Computer vision and pattern recognition workshops-CVPRW 2011. Yang Q, Ding X (2002) Symmetrical PCA in face recognition.

For this case an algebraic solution using homogeneous coordinates is presented.

In practice, the reflection symmetry is often distorted due to perspective projection. A theory for this accumulation is based on a contrario testing. Most reflection symmetry recognition procedures use clustering, often implemented in accumulators. If smaller parts are further away from each other, nested hierarchies of symmetries should be considered. Furthermore, the symmetry is stronger when additionally other features of the parts are similar, such as size, colors, or descriptors. Next to the reflection law, the parts always also need to be in proximity, for which specific continuous assessment functions are discussed. Hard constraints are replaced by continuous membership assessments. The basic relations of reflection symmetric arrangements of oriented parts are given. Reflection symmetry is a standard example for the role of perceptual grouping in foreground/background discrimination.

Reflection symmetry geometry x axis