Medical images (X-ray, CT, MR or PET) of human organs are widely used in the every day clinical praxis. A deeper insight of the anatomical properties can be obtained by building a three dimensional computer model from the images. In order to properly evaluate the 2D images and also the 3D objects physicians need efficient and robust graphical and geometrical tools. The paper presents methods th...

We give a brief introduction to the study of the algebraic structures – and their geometrical interpretations – which arise in the BRST construction of a conformal string background. Starting from the chiral algebra A of a string background, we consider a number of elementary but universal operations on the chiral algebra. From these operations we deduce a certain fundamental odd Poisson struct...

With the emergence of numerous 3D human motion capture databases, the effective analysis and handling of human motion data have become a major challenge so that the use of motion capture databases can be maximized. To reduce the high-dimensional complexity of data, a type of geometrical feature based on 2D geometrical space law is first extracted from human motion for the application of motion ...

Color alignment is one of the important processes in the 2D-3D texture mapping. In this paper, a novel method for color alignment is presented. An overview of the method is as follows. Given multiple images of a textured object taken from various positions and three-dimensional geometrical data of the object, we first estimate the surface normal direction of the object in an image using the thr...

Simulation of a dynamic and continuous phenomenon (field) is a difficult task for GISs as their data structures are 2D and static and are not well-adapted to manage neither the dynamic behavior of the phenomenon nor its geometrical and topological information. In this paper we present the Voronoi diagram as an alternative data structure that, through its useful geometrical and topological prope...

We build an original synthetic dataset of 2D mechanical designs alongside their and geometric constraints, GMCAD. Such a allows training Deep Learning (DL) models for Design Additive Manufacturing (DfAM) to incorporate control Computer-Aided-Design (CAD) features with performance. Geometric AM constraints are often complex describe, depending on applications, processes, materials. They lack exp...

In this paper, progressive damage and global failure of composite laminates under quasi-static, monotonic loading are investigated using 3D continuum damage mechanics. For this purpose, a finite element program has been developed using an eight-node 2D layered element including layer-wise plate theory. Damage analysis of a single orthotropic layer under various uniform in-plane and transverse l...

Geometrically accurate and anatomically correct 3D models of the human bones are of great importance for medical research and practice in orthopedics and surgery. These geometrical models can be created by the use of techniques which can be based on input geometrical data acquired from volumetric methods of scanning (e.g., Computed Tomography (CT)) or on the 2D images (e.g., X-ray). Geometrical...