Characterizing the Stability of 3D Invariants Derived from 3D Translational Symmetry
نویسندگان
چکیده
Translational symmetry provides a powerful constraint that enables recognition of three-dimensional (3D) objects from a single view. Under ideal conditions, affine invariants of 3D points reconstructed from corresponding points would serve as accurate indices for object recognition. In real images, however, inaccurate 2D coordinates of corresponding points can lead to erroneous invariants. In this paper, we investigate the effects of such errors on the 3D invariants, and discuss some approaches to successful indexing in the presence of these errors.
منابع مشابه
Space-Time Invariants for 3D Motions from Projective Cameras
Recently, it has been shown that invariants on motions can be extracted from sequential images and these can be applied for recognizing dynamic events from images viewed from arbitrary viewpoints. These invariants are called space-time invariants since they are defined in space and time. Unfortunately, the existing space-time invariants are limited for planar motions viewed from affine cameras....
متن کاملمدلسازی روابط توپولوژیک سه بعدی فازی در محیط GIS
Nowadays, geospatial information systems (GIS) are widely used to solve different spatial problems based on various types of fundamental data: spatial, temporal, attribute and topological relations. Topological relations are the most important part of GIS which distinguish it from the other kinds of information technologies. One of the important mechanisms for representing topological relations...
متن کاملEffects of geometrical and geomechanical properties on slope stability of open-pit mines using 2D and 3D finite difference methods
Slope stability analysis is one of the most important problems in mining and geotechnical engineering. Ignoring the importance of these problems can lead to significant losses. Selecting an appropriate method to analyze the slope stability requires a proper understanding of how different factors influence the outputs of the analyses. This paper evaluates the effects of considering the real geom...
متن کاملRecognition of Symmetric 3D Bodies
The paper deals with the recognition of symmetric three-dimensional (3D) bodies that can be rotated and translated. We provide a complete list of all existing combinations of rotation and reflection symmetries in 3D. We define 3D complex moments by means of spherical harmonics, and the influence of individual symmetry groups on complex moment values is studied. Each particular symmetry pre-defi...
متن کاملPrediction of 3D protein Structure based on Mutation of AKAP3 and PLOD3 Gene in Case of Non-Obstructive Azoospermia
Background: The present study has been designed with the aim of evaluating A-kinase anchoring proteins 3 (AKAP3)and Procollagen-Lysine, 2-Oxoglutarate 5-Dioxygenase 3 (PLOD3) gene mutations and prediction of 3D proteinstructure for ligand binding activity in the cases of non-obstructive azoospermic male.Materials and Methods: Clinically diagnosed cases of non-obstructive azoos...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1995