PolSAR Target Detection via Reflection Symmetry and a Wishart Classifier

Automated K-wishart Clustering of Polsar Images

This paper presents our automatic image segmentation method for Polarimetric SAR data [1] with recent improvements by using matrix log-cumulant methods throughout. The clustering algorithm utilises the full polarimetric matrix information, incorporates texture by modelling with a non-Gaussian distribution, and automatically determines the appropriate number of classes with goodness-of-fit stati...

Reflection Invariant and Symmetry Detection

Symmetry detection and discrimination are of fundamental meaning in science, technology, and engineering. This paper introduces reflection invariants and defines the directional moment to detect symmetry for shape analysis and object recognition. And it demonstrates that detection of reflection symmetry can be done in a simple way by solving a trigonometric system derived from the directional m...

Reflection Symmetry Detection via Appearance of Structure Descriptor

Multiple Reflection Symmetry Detection via Linear-Directional Kernel Density Estimation

Symmetry is an important composition feature by investigating similar sides inside an image plane. It has a crucial effect to recognize man-made or nature objects within the universe. Recent symmetry detection approaches used a smoothing kernel over different voting maps in the polar coordinate system to detect symmetry peaks, which split the regions of symmetry axis candidates in inefficient w...

Symmetry via Spherical Reflection and Spanning Drops in a Wedge

We consider embedded ring-type surfaces (that is, compact, connected, orientable surfaces with two boundary components and Euler-Poincaré characteristic zero) in R of constant mean curvature which meet planes Π1 and Π2 in constant contact angles γ1 and γ2 and bound, together with those planes, an open set in R. If the planes are parallel, then it is known that any contact angles may be realized...