Propagation of Geometric Tolerance Zones in 3D

نویسندگان

  • Song-Hai Zhang
  • Qi-Hui Zhu
  • Ralph R. Martin
چکیده

This paper considers error propagation in three dimensional geometric constructions using a geometric approach. First, we present definitions and constructions of tolerance zones for various fundamental elements in Euclidean space. Then, we study in detail the propagation of errors during several geometric computations, including the the distance between two skew lines, reflections, projections, and rotations, and we derive new tolerance zones from the old ones.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Error Propagation through Geometric Transformations

We investigate the propagation of errors through geometric transformations, such as reflections, rotations, similarity transformations, and projections, and also the scalar product of vectors. This means computing tolerance zones of points which undergo such transformations, if these points and the transformations themselves are given by toleranced input data.

متن کامل

Fabrication of New 3D Phantom for the measurement of Geometric Distortion in Magnetic Resonance Imaging System

Introduction: Geometric distortion, an important parameter in neurology and oncology. The current study aimed to design and construct a new three-dimensional (3D) phantom using a 3D printer in order to measure geometric distortion and its 3D reproducibility. Material and Methods: In this study, a new phantom ...

متن کامل

Fabrication of New 3D Phantom for Measuring Geometric Distortion in Magnetic Resonance Imaging System

  Introduction: Geometric distortion is a major shortcoming of magnetic resonance imaging (MRI), which has an important influence on the accuracy of volumetric measurements, an important parameter in neurology and oncology. Our goal is to design and construct a new three- dimensional phantom using a 3D printer in order to measure geometric distortion and its reproducibility in...

متن کامل

Geometric Structure of 3D Spinal Curves: Plane Regions and Connecting Zones

This paper presents a new study of the geometric structure of 3D spinal curves. The spine is considered as an heterogeneous beam, compound of vertebrae and intervertebral discs. The spine is modeled as a deformable wire along which vertebrae are beads rotating about the wire. 3D spinal curves are compound of plane regions connected together by zones of transition. The 3D spinal curve is uniquel...

متن کامل

Target detection Bridge Modelling using Point Cloud Segmentation Obtained from Photogrameric UAV

In recent years, great efforts have been made to generate 3D models of urban structures in photogrammetry and remote sensing. 3D reconstruction of the bridge, as one of the most important urban structures in transportation systems, has been neglected because of its geometric and structural complexity. Due to the UAV technology development in spatial data acquisition, in this study, the point cl...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007