I present a novel framework for polyhedral mesh editing with face-based projective maps, that preserves planarity by definition. Such meshes are essential in the fields of construction and architectural design. By using homogeneous coordinates to describe vertices, we gain a rich and linear shape space of meshes with planar faces. The generality of this space allows for polyhedral geometric pro...

Shape matching plays important roles in many fields such as object recognition, image retrieval etc. Belongie, et al. recently proposed a novel shape matching algorithm utilizing the shape context as a shape descriptor and the magnitude of the aligning two shape contexts as a distance measure. It was claimed to be an information rich descriptor that is invariant to translation, scale, and rotat...

In the framework of a European technological research project 2], a general method is presented for shape measurement and defect detection of industrially produced objects using the characteristic 2D projections of the objects. The method is applied to the visual inspection and dimensional measurement of ferrite cores. An optical shape gauge system is described, based on rotation-invariant shap...

Ї R is a real time visual surveillance system for detecting and tracking multiple people and monitoring their activities in an outdoor environment. It operates on monocular gray-scale video imagery, or on video imagery from an infrared camera. ‡ R employs a combination of shape analysis and tracking to locate people and their parts (head, hands, feet, torso) and to create models of people's ap...

We introduce a systematic approach to designing summarizing abstract numeric domains from existing numeric domains. Summarizing domains use summary dimensions to represent potentially unbounded collections of numeric objects. Such domains are of benefit to analyses that verify properties of systems with an unbounded number of numeric objects, such as shape analysis, or systems in which the numb...

Shape analysis of simple closed plane curves is an important subject including many chances of application to industry, especially when the curves are apparent contours of objects projected into the plane. A notion of panorama view is introduced, with presentations of some ideas of its application to the subject.

In this paper we develop the theory of parametric polynomial regression in Riemannian manifolds and Lie groups. We show application of Riemannian polynomial regression to shape analysis in Kendall shape space. Results are presented, showing the power of polynomial regression on the classic rat skull growth data of Bookstein as well as the analysis of the shape changes associated with aging of t...

We present a new method for morphing 2D and 3D objects. In particular we focus on the problem of smooth interpolation on a shape manifold. The proposed method takes advantage of two recent works on 2D and 3D shape analysis to compute elastic geodesics between any two arbitrary shapes and interpolations on a Riemannian manifold. Given a finite set of frames of the same (2D or 3D) object from a v...

This paper presents a new approach for shape description and invariant recognition by geometric normalization implemented by neural networks The neural system consists of a shape description network a normalization network and a recognition stage based on fuzzy pyramidal neural networks The description network uses a novel approach for hierar chical shape segmentation and representation which e...

MORPHOLOGICAL BOUNDARY BASED SHAPE REPRESENTATION SCHEMES ON MOMENT INVARIANTS FOR CLASSIFICATION OF TEXTURES V. Venkata Krishna1 and M. Rama Bai2 1C.I.E.T, JNTUK, Kakinada, Rajahmundry, Andhra Pradesh, India, E-mail: [email protected] 2Dept. of CSE, M.G.I.T, JNTUH, Hyderabad, Andhra Pradesh, India, E-mail: [email protected] Efficient shape representation and recognition is an imp...