In the context of structural optimization via a level-set method we propose a framework to handle geometric constraints related to a notion of local thickness. The local thickness is calculated using the signed distance function to the shape. We formulate global constraints using integral functionals and compute their shape derivatives. We discuss different strategies and possible approximation...

Size Theory has proven to be a useful geometrical/topological approach to shape analysis and comparison. Originally introduced by considering 1-dimensional properties of shapes, described by means of real-valued functions, it has been subsequently generalized to take into account multidimensional properties coded by functions valued in Rk. In the context of Size Theory, this generalization has ...

A method of shape generation using shape grammars which take shape as primitive and have shape-specific rules is presented. A formalism for the complete, generative specification of a class of non-representational, geometric paintings or sculptures is defined which has shape grammars as its structural component. Paintings are material representations of two-dimensional shapes gen~rated by shape...

Correct and efficient segmentation of Uyghur words into characters is crucial to the successful recognition. However, little work has been done in this area. There are many connected characters in cursive Uyghur handwriting, which makes the segmentation and recognition of Uyghur words very difficult. To enable large vocabulary Uyghur word recognition using character models, we propose a charact...

This report documents the program and the results of Dagstuhl Seminar 11142 Innovations for Shape Analysis: Models and Algorithms, taking place April 3-8 in 2011. The focus of the seminar was to discuss modern and emerging topics in shape analysis by researchers from different scientific communities, as there is no conference specifically devoted to this field. Seminar 03.–08. April, 2011 – www...

Subject-specific modeling is increasingly important in biomechanics simulation. However, how to automatically create highquality finite element (FE) mesh and how to automatically impose boundary conditionare challenging. This paper presents a statistical atlas based approach for automatic meshing of subject-specific shapes. In our approach, shape variations among a shape population are explicit...

Shape is one of the most important visual attributes used to characterize objects, playing a important role in pattern recognition. There are various approaches to extract relevant information of a shape. An approach widely used in shape analysis is the complexity, and Fractal Dimension and Multi-Scale Fractal Dimension are both well-known methodologies to estimate it. This papers presents a co...

In deformable model segmentation, the geometric training process plays a crucial role in providing shape statistical priors and appearance statistics that are used as likelihoods. Also, the geometric training process plays a crucial role in providing shape probability distributions in methods finding significant differences between classes. The quality of the training seriously affects the fina...

Digital representation of three dimensional curves is considered. Two dimensional representation schemes are rst reviewed, then methods applicable to curves in three and higher dimensional spaces are described. Desirable properties of curve representation schemes are identiied and used as a basis for qualitative and quantitative comparison of the various methods that have been suggested. Conclu...

In Western countries, the growing population of seniors brings us to think about new healthcare systems to ensure the safety of elderly people at home. Falls are one of the greatest risk for seniors living alone. Computer vision provides a promising solution to analyze people behavior and detect some unusual events like falls. In this paper, we propose to detect falls by analyzing the human sha...