In this paper a new morphological technique for size and shape analysis of color granular images is presented. The method is based on the sieving model reported by Matheron. According to this model, granular images can be characterised by means of the manner in which they are sieved through various size and shape sieves. The morphological operations that are used in this analysis are defined by...

Mathematical morphology is a useful theory of nonlinear operators widely used for image processing and analysis. Despite the successful application morphological binary gray-scale images, extending them to vector-valued images not straightforward because there are no unambiguous orderings vectors. Among many approaches multivalued mathematical morphology, those based on total orders particularl...

This paper presents a morphological classifier with application to color image segmentation. The basic idea of a morphological classifier is to consider a color histogram as a 3-D gray-level image, so that morphological operators can be applied to it. The final objective is to extract clusters in color space, that is, identify regions in the 3-D image. In this paper, we particularly focus on a ...

The morphological operators of a hit-miss transformation, opening, and closing are generalized in a number of ways. The new operators are useful for solving a variety of binary image analysis problems that involve pattern detection and reconstruction. Generalized openings are developed by replacing erosions with hit-miss operators. These new openings are shown to be anti-extensive, idempotent, ...

Morphological operations are simple mathematical constructs, which have led to effective solution for many problems in image processing and computer vision. These solutions employ discrete operators and are applied to digitized images. The mathematics behind the morphological operators also exists in the continuous domain, the domain where the images came from. We observed that the discrete ope...

The successful application of univariate morphological operators on several domains, along with the increasing need for processing the plethora of available multivalued images, have been the main motives behind the efforts concentrated on extending the mathematical morphology framework to multivariate data. The few theoretical requirements of this extension, consisting primarily of a ranking sc...

Two important tools for manipulating polygonal models are simplification and repair and we present voxel-based methods for performing both of these tasks. We describe a method for converting polygonal models to a volumetric representation in a way that handles models with holes, double walls, and intersecting parts. This allows us to perform polygon model repair simply by converting a model to ...