Region feature detectors and descriptors have become a successful and popular alternative to point descriptors in image analysis due to their high robustness and repeatability, leading to a significant interest in the shape analysis community in finding analogous approaches in the 3D world. Recent works have successfully extended the maximally stable extremal region (MSER) detection algorithm t...

Understanding fish-like locomotion as a result of internal shape changes may result in improved underwater propulsion mechanism. In this article, we study a coupled system of partial differential equations and ordinary differential equations which models the motion of self-propelled deformable bodies (called swimmers) in an ideal fluid. The deformations being prescribed, we apply the least acti...

The main goal of this paper is to illustrate a geometric analysis of 3D facial shapes in presence of varying facial expressions using the nose region. This approach consists of the following two main steps: (i) Each nasal surface is automatically denoised and preprocessed to result in an indexed collection of nasal curves. During this step one detects the tip of the nose and defines a surface d...

Parametric surfaces are widely used for modeling in CAD systems. However, they pose problems when representing complex macrogeometric features. In order to solve these problems we introduce an extension to parametric surface models that incorporates displacements and deformations. Our extended model retains its original parametric properties, thus allowing easy texture mapping together with a b...

We describe two new shape operators that superimpose wrinkles on top of a smooth NURBS surface. Previous research studying wrinkles focused mostly on cloth modeling or in animations, which are driven more by visual realism, but allow large elastic deformations. Our operators generate wrinkle-shaped deformations in a region of a smooth surface along a given boundary based on a few basic parametr...

The main goal of this paper is to illustrate a geometric analysis of 3D facial shapes in presence of varying facial expressions. This approach consists of the following two main steps: (i) Each facial surface is automatically denoised and preprocessed to result in an indexed collection of facial curves. During this step one detects the tip of the nose and defines a surface distance function wit...

One method used to correct geometric and intensity distortions in echo planar images is to register them to undistorted images via nonrigid deformations. However, some areas in the echo planar images are more distorted than others, thus suggesting the use of deformations whose characteristics are adapted spatially. In this article, we incorporate into our previously developed registration algor...

This work focuses on application of the laser forming process to NiTi shape memory alloys. While all NiTi shape memory alloys exhibit both superelasticity and the shape memory effect, this study is restricted to a temperature range over which only the superelastic effect will be active. Specifically, this work addresses laser forming induced macroscopic bending deformations, postprocess residua...

This paper presents a survey of elastic matching (EM) techniques employed in handwritten character recognition. EM is often called deformable template, flexible matching, or nonlinear template matching, and defined as the optimization problem of two-dimensional warping (2DW) which specifies the pixel-to-pixel correspondence between two subjected character image patterns. The pattern distance ev...

Decision making is tightly related to the understanding of the design and manufacturing practices. In our previous work, we proposed an intuitive approach for geometric modeling in CAD, based on the integration of the user’s knowledge with virtual design tools. This approach facilitates the design of the CAD models using deformations. Deformations are done by the bias of a layered architecture ...