Resampling raw surface meshes is one of the most fundamental operations used by nearly all digital geometry processing systems. The vast majority of work in the past has focused on triangular remeshing; the equally important problem of resampling surfaces with quadrilaterals has remained largely unaddressed. Despite the relative lack of attention, the need for quality quadrangular resampling me...

Using the theory of Properly Embedded Graphs developed in an earlier work we define involutory duality on set labeled non-crossing trees that lifts obvious unlabeled trees. The is a free ternary magma with one generator and this instance defined any such magma. Any two magmas are isomorphic via unique isomorphism call structural bijection. Besides also consider as trees, quadrangular dissection...

BACKGROUND Mitral valve repair for posterior mitral leaflet (PML) prolapse has been considered to be a standard treatment because of its high success rate and high level of patient satisfaction. The aim of this study was to evaluate the clinical results of two different techniques of PML prolapse, quadrangular resection (QR) and chordal replacement (CR). MATERIALS AND METHODS The subjects con...