This paper describes an efficient framework for image-based granulometry, which provides three main contributions. First, unlike most of the existing work on particle delineation, which is based on the use of detected edges, our method-a regionbased approach-relies on the use of mathematical morphology techniques. Second, we have explored the use of motion in order to recover the visible volume...

In this paper we present a reconstruction method controlled by the evolution of attributes. The process begins from a marker, propagated over increasing quasi–flat zones. The evolution of several increasing and non–increasing attributes is studied in order to select the appropriate region. Additionally, the combination of criteria can be used in a straightforward way. We present three applicati...

A mathematical morphology based approach for color image indexing is explored in this paper. Morphological signatures are powerful descriptions of the image content in the framework of mathematical morphology. A morphological signature (either a pattern spectrum or a differential morphological profile) is defined as a series of morphological operations (namely openings and closings) considering...

A novel note and beat onset detection algorithm is proposed using mathematical morphology. It is intended to be simple and fast and should work well on instruments with some attack characteristics.

A formal de nition of morphological operators in (max,min)algebra is introduced and their relevant properties from an algebraic viewpoint are stated. Some previous works in mathematical morphology have already encountered this type of operators but a systematic study of them has not yet been undertaken in the morphological literature. It is shown in particular that one of their fundamental prop...

This papers deals with the analysis of shape and size of the debris particles obtained from wear experiments on polymers using image processing. Two analysis techniques that are very promising in this respect are the morphological pattern spectrum and the Fourier spectrum. They can be used to extract parameters that relate to particle size and shape. We experimentally compare different choices ...

Although mathematical morphology and formal concept analysis are two lattice-based data analysis theories, they are still developed in two disconnected research communities. The aim of this paper is to contribute to fill this gap, beyond the classical relationship between the Galois connections defined by the derivation operators and the adjunctions underlying the algebraic mathematical morphol...

Mathematical Morphology (MM) can be defined in terms of complete lattices. Thus, MM is useful for the processing of binary images or of single-valued intensity images – images for which a partial ordering, hence a lattice structure, is apparent. The lattice structure of an intensity image is manifest through set inclusion with ordering on intensity. It is always possible to define majorants and...

 In general geometric models, the design of objects is usually separated from the manufacture  At the present, two general solid modeling representations dominate: B-REP (Boundary representation) and CSG (Constructive Solid Geometry)  They have some drawbacks:  The design of complex objects is usually complicated.  CSG: limited number of primitives for free surfaces design  B-REP: modific...