http://www.cb.uu.se/~cris/Documents/Luengo2007.pdf

Improving the accuracy of isotropic granulometries

Application of opening, which is a basic operation of mathematical morphology, often yields undesired results like the occurrence of artifacts. This problem can be avoided by using a gray scale structuring element resembling the objects in the target image. Since a texture image is composed of an arrangement of similar small objects, it is possible to derive such a gray scale structuring element by estimating one representative gray scale object from those arranged in the texture image. In this paper, an estimation method of the optimal gray scale structuring element using "primitive, grain, and point configuration (PGPC)" texture model is proposed.

Optimization of gray scale morphological opening for noise removal in texture images

This thesis deals with the application of mathematical morphology to images of some kind of structure, with the intention of characterizing (or describing) that structure. The emphasis is placed on measuring properties of the real-world scene, rather than measuring properties of the digital image. That is, we require that the measurement tools are sampling-invariant, or at least produce a sampling-related error that is as small as possible. Filters defined by mathematical morphology can be defined both in the continuous space and the sampled space, but will produce different results in both spaces. We term these differences "discretization errors". Many of the results presented in this thesis decrease the discretization errors of morphological filters.

Structure Characterization Using Mathematical Morphology

In this paper, an extraction method of trabecular structures from dental panoramic radiographs using mathematical morphological operations is proposed. It can extract trabeculae excluding roots of teeth and enables the assessment of tooth extraction for trabecular pattern. A measurement method of the lengths and directions of trabecular segments is also proposed in this paper. It is suggested that the measurements of healthy and osteoporotic examples support our hypothesis that the trabeculae parallel to the roots are reduced more than those perpendicular to the roots by osteoporosis.

Extraction of trabecular structures of mandible excluding tooth roots on dental panoramic radiographs using mathematical morphology

A method of evaluating human visual impressions of gray scale textures using morphological manipulation is proposed. To study the effects of textural features on human Kansei, we introduced a texture analysis method based on mathematical morphology. Kansei is a Japanese word for sensibility or emotion. Kansei engineering is an approach to connect human sensibility with engineering applications. The proposed method allows us to manipulate global and local properties of a texture separately. Variations of textures were generated by repetitively modifying arranged objects and configurations of the arrangements of original textures. The manipulated textures were presented to human respondents and the similarity of those textures based on human impressions was evaluated. Hierarchical clustering was applied to the similarity matrix generated from respondents’ observations. The results of the human evaluation were compared with that of the objective similarity evaluation adopting six global textural features. The global features such as density, regularity, and directionality of the point configurations were shown to have significant effects on human visual impressions and identification of textures. In the case of a texture without significant characteristics in its point configuration, local features such as grain shape have an effect on visual impressions.

/pdf/statistical-analysis-of-human-visual-impressions-on-4r263ztmza.pdf

Statistical analysis of human visual impressions on morphological image manipulation of gray scale textures

A model for texture description, called "Primitive and Point Configuration (PPC) texture model," and an estimation method of the primitive, which is an elementary object for configuring a texture, are proposed in this paper. The PPC texture model regards that a texture is composed by arranging grains that are derived from one or a few primitives by some modification. The primitive shape is estimated by the principle that the primitive resembling the grains best should be the optimal estimation. This estimation is achieved by finding the structuring element that minimizes the integral of the size distribution function of a target texture.

/pdf/primitive-and-point-configuration-texture-model-and-2l7lch2gtd.pdf

Takeshi Ohkubo

Papers

Primitive and point configuration texture model and primitive estimation using mathematical morphology