This paper introduces a novel approach in image processing based on a vector image model. A major advantage of the model is that it allows vector operations to be performed on an image. An example of a vector operation is the computation of mechanical moments for detecting inhomogeneities in an object or equivalently edges in an image. A new edge operator derived from a vector image model yield...

We study the problem of video shot boundary detection using an adaptive edge-oriented framework. Our approach is distinct in its use of multiple multilevel features in the required processing. Adaptation is provided by a careful analysis of these multilevel features, based on shot variability. We consider three levels of adaptation: at the feature extraction stage using locally-adaptive edge ma...

We consider edge-degenerate families of pseudodiierential boundary value problems on a semi-innnite cylinder and study the behavior of their push-forwards as the cylinder is blown up to a cone near innnity. We show that the transformed symbols belong to a particularly convenient symbol class. This result has applications in the Fredholm theory of boundary value problems on manifolds with edges.

Edge detection has been widely used in computer vision and image processing. However, the performance evaluation of the edgedetection results is still a challenging problem. A major dilemma in edge-detection evaluation is the difficulty to balance the objectivity and generality: a general-purpose edge-detection evaluation independent of specific applications is usually not well defined, while a...

wide range of planar structures in new technologies has attracted special consideration. in this research vibration behavior of plates with non-linear edges is investigated by means of finite difference (fd) method. for this issue, classical and analytical solutions for plates with linear edges were analyzed and mutual equations, needed for numerical calculation were extracted. by expanding the...

The edge isoperimetric inequality problem is presented along with a programming and graphical approach to analyzing properties of the shapes of vertex sets that fulfill the condition of minimal edge boundary for a given vertex set size. Background Graph Theory For those who are unfamiliar with graph theory, a brief overview should suffice. A graph G(V,E) is defined as a combination of a set of ...

This is a talk on joint work with Maŕıa José Chávez, Seiya Negami, Antonio Quintero, and Maŕıa Trinidad Villar. A triangulation of a 2-manifold M is a simplicial 2-complex with underlying space homeomorphic to M . The operation of contraction of an edge e in a triangulation T of M is the operation which consists in contracting e to a single vertex and collapsing each face that meets e to a sing...

In the inspection of treated water samples under microscope, knowing the average number of parasite (oo)cysts like Giardia and Cryptosporidium that exist in the samples is crucial as it tells whether the water is safe for consumption. Here, we introduce a new approach using a bidirectional contour tracing technique to segment and enumerate overlapping Cryptosporidium and Giardia (oo)cysts in mi...

2. Obtain the gray-level gradient magnitude. 3. Derive the threshold surface by deforming the original image gray-level surface. 4. The threshold surface interpolation. 5. Segmentation based on the threshold surface. However, incomplete cells are still not detected reliably with this method. Double counting is sometimes occurred. In this paper, a Fuzzy Edge Detection Method is proposed. It is b...