We treat the problem of chromosome segmentation with the aid of shape analysis and classification. Our approach consists of a combination of two phases, a purely rule–based phase and a phase driven by constrained discriminant analysis. In the first phase, obvious prototypical shape elements related to touchings and overlaps are recursively identified, in the second, remaining complex and ambigu...

To analyze marine animals behavior, seasonal distribution and abundance, digital imagery can be acquired by visual or Lidar camera. Depending on the quantity and properties of acquired imagery, the animals are characterized as either features (shape, color, texture, etc.), or dissimilarity matrices derived from different shape analysis methods (shape context, internal distance shape context, et...

In some sense, the world is composed of shapes and words, of continuous things and discrete things. The recognition and study of continuous objects in the form of shapes occupies a significant part of the effort of unraveling many geometric questions. Shapes can be represented with great generality by objects called currents. While the enormous variety and representational power of currents is ...

SUNGKYU JUNG: Asymptotics for High Dimension, Low Sample Size data and Analysis of Data on Manifolds. (Under the direction of Dr. J. S. Marron.) The dissertation consists of two research topics regarding modern non-standard data analytic situations. In particular, data under the High Dimension, Low Sample Size (HDLSS) situation and data lying on manifolds are analyzed. These situations are rela...

A character recognition scheme based on structural analysis is presented to deal withunconstrained hand-written characters and degraded samples of multi-font machine-printed characters. It is based on building simplified easy-to-construct shape modelsrepresenting character classes. The scheme is based on employing a general variation anddegradation model to match character sampl...

The paper describes a method for identification of mechanisms and process trends based on combination of subject-driven document clustering, shape analysis, trends understanding and relevant context retrieval via semantic analysis. The goal is to extract potentially interesting knowledge from a set of technical information based on analysis of graphical information in order to find explanation ...

We present in this paper the application of mathematical morphology operators through a transformation of the Cartesian image into another geometric space, i.e. pol-log image. The conversion into polar-logarithmic coordinates as well as the derived cyclic morphology provides satisfying results in image analysis applied to round objects or spheroid-shaped 3D-object models. As an example of appli...

In this paper, we present an automated video analysis system which addresses segmentation and detection of human actions in an indoor environment, such as a gym. The system aims at segmenting different movements from the input video and recognizing the action types simultaneously. Two action segmentation techniques, namely color intensity based and motion based, are proposed. Both methods can e...

Binary morphological transformations based on the residues (ultimate erosion, skeleton by openings, etc.) are extended to functions by means of the transformation definition and of its associated function based on the analysis of the residue evolution in every point of the image. This definition allows to build the transformed image and its associated function, indicating the value of the resid...

Motivated by the problem of analyzing shapes of fiber tracts in DT-MRI data, we present a geometric framework for studying shapes of open curves in R. We start with a space of unit-length curves and define the shape space to be its quotient space modulo rotation and reparametrization groups. Thus, the resulting shape analysis is invariant to parameterizations of curves. Furthermore, a Riemannia...