We present a novel representation of shape for closed planar contours explicitly designed to possess a linear structure. This greatly simplifies linear operations such as averaging, principal component analysis or differentiation in the space of shapes. The representation relies upon embedding the contour on a subset of the space of harmonic functions of which the original contour is the zero l...

The automatic recognition, including the character, annotation, contour line and so on, is very important in many fields. Here, we focus on the character recognition of the scanned map, because the digitizing map is an important resource data for GIS and automatic recognition character of scanning map is still a key problem, which needs to be solved seriously. In our investigation, which is abo...

Ghandmjit L. Bajaj t Department of Computer Science, Purdue University, West Lafayette, IN 47907 In this paper (part one of a trilogy), we introduce the concept of a discriminating family of regular algebraic curves (real, nonsingular and connected). Several discriminating families are obtained by different characterizations of the zero contours of the Bernstein-Bezier (BB) form of bivariate po...

We propose an approach to model a smooth surface from a surface triangulation by implicit surface patches which are subsets of zero contours of trivariate functions defined on a collection of irregular triangular prisms. Comparing with the earlier approaches of surface modeling by implicit surfaces, the proposed scheme uses much less patches, and can easily capture sharp features. Furthermore, ...

AbstructThis paper presents a new edge detection scheme that detects two-dimensional (2-D) edges by a curve-segment-based detection functional guided by the zero-crossing contours of the Laplacian-ofGaussian (LOG) to approach the true edge locations. The detection functional is shown to be optimal in terms of signal-to-noise ratio (SNR) and edge localization accuracy; it also preserves the nice...

Endoscopic images do not contain sharp edges to segment using the traditional segmentation methods for obtaining edges. Therefore, the active contours or ‘snakes’ using level set method with the energy minimization algorithm is adopted here to segment these images. The results obtained from the above segmentation process will be number of segmented regions. The boundary of each region is consid...