This paper describes a method for determining the minimum bounding box of an arbitrary solid. The method simplifies the complex three-dimensional problem by projecting the solid onto the three principal planes and makes use of the projected contours for analysis. The orientations of the contours are determined by rotating them within a specific angle range. These orientations are then used to a...

In this paper, we derive a modified Cassie’s equation for wetting on chemically patterned surfaces from a homogenization approach. The derivation reveals that effective contact angle is a local average of the static contact angle along the contact line which describes all possible equilibrium states including the local minimum of the free energy of the system. The usual Cassie’s state which cor...

From an initial triangle, three triangles are obtained joining the two equally spaced points of the longest-edge with the opposite vertex. This construction is the base of the longestedge trisection method. Let D be an arbitrary triangle with minimum angle a. Let D be any triangle generated in the iterated application of the longest-edge trisection. Let a0 be the minimum angle of D. Thus a0 P a...

Obstacle recognition is one of the key technologies for Unmanned Undersea Vehicle (UUV). In this paper, the design of obstacle recognition based on multi-beam forward looking sonar is presented. First of all, Gaussian mixed model operator is adopted in adaptive threshold segmentation to segment the sonar image into regions of interest and background. Secondly, we use morphological operation to ...

objectives: this study sought to assess the effects of length and inclination of implants on stress distribution in an implant and terminal abutment teeth in an implant assisted-removable partial denture (rpd) using three-dimensional (3d) finite element analysis (fea).   materials and methods: in this in vitro study, a 3d finite element model of a partially dentate mandible with a distal extens...

This paper describes an algorithm for generating unstructured triangular meshes from a continuous two-dimensional object represented by an image. The algorithm uses squares as a background grid from which to build the quadrilateral elements that conform to the input contours. Then the triangulation is obtained by automatically choosing the diagonals that optimize the angles of the triangles. Th...