Surface reconstruction using point cloud

100 %
0 %
Information about Surface reconstruction using point cloud

Published on March 11, 2014

Author: IshanKossambe

Source: slideshare.net

SURFACE RECONSTRUCTION BY POINT CLOUD DATA

SURFACE RECONSTRUCTION BY POINT CLOUD DATA BY ISHAN KOSAMBE

Contents • Reverse Engineering • Laser Scanners • Point Cloud Data • Surface Reconstruction • Various Techniques • Algorithm • Data Simplification

• Original Manufacturer • Inadequate Documentation • Improve the product performance • Competition • Low cost production Reverse Engineering • Need • Process • Application

• Need • Process • Application • Duplication of existing part • By capturing the components i. Dimensions ii. Features iii. Material properties Reverse Engineering

Manufacturing Drawing Inspection Create 3D Model Obtaining Dimensional Details Physical Product • Need • Process • Application

• Need • Process • Application • Entertainment • Automotive • Consumer Products • Mechanical designs • Rapid product development • Software Engineering Reverse Engineering

Laser scanners

• A point cloud is a set of data points in some coordinate system • Intended to represent the external surface of an object • Find Application in I. 3D CAD Model II. Metrology/Quality Inspection III. Medical Imaging IV. Geographic Information System V. Data Compression Point Cloud Data

Reverse Engineering Laser Scanners Point Cloud Data Surface Reconstruction

POINT CLOUD PROCESSING SOFTWARE • Cyclone and Cyclone Cloudworx (Leica, www.leica-geosystems.com) • Polyworks (Innovmetric, www.innovmetric.com) • Riscan Pro (Riegl, www.riegl.com) • Isite Studio (Isite, www.isite3d.com) • LFM Software (Zoller+Fröhlich, www.zofre.de ) • Split FX (Split Engineering, www.spliteng.com ) • RealWorks Survey (Trimble, www.trimble.com)

Surface Reconstruction • Objective is to find a function that agrees with all the data points • Accuracy of finding this function depends upon 1. Density and the distribution of the reference points 2. Method

Classifying Surface Fitting Methods • Closeness of fit of the resulting representation to the original data • Extent of support of the surface fitting method • Mathematical models

Closeness of Fit • Fitting method can be either an interpolation or an approximation • Interpolation methods fit a surface that passes through all data points • Approximation methods construct a surface that passes near data points

Extent of Support of the Surface Fitting Method • Method is classified as global or local • In the global approach, the resulting surface representation incorporates all data points to derive the unknown coefficients of the function • With local methods, the value of the constructed surface at a point considers only data at relatively nearby points

Surface Interpolation Methods • Weighted average methods • Interpolation by polynomials • Interpolation by splines • Surface interpolation by regularization

Weighted average methods • Direct summation of the data at each interpolation point • The weight is inversely proportional to the distance ri • Suitable for interpolating a surface from arbitrarily distributed data • Drawback is the large amount of calculations • To overcome this problem, the method is modified into a local version

Interpolation by polynomials • p is a function defined in one dimension for all real numbers x by p(x) = ao + alx + ... + aN_lxN-1 + aNxN • Fitting a surface by polynomials proceeds in two steps 1. Determination of the coefficients 2. Evaluates the polynomial

The general procedure for surface fitting with piecewise polynomials • Partitioning the surface into patches of triangular or rectangular shape • Fitting locally a leveled, tilted, or second- degree plane at each patch • Solving the unknown parameters of the polynomial

Disadvantages of interpolation by polynomial 1. Singular system of equations 2. Tendency to oscillate, resulting in a considerably undulating surface 3. Interpolation by polynomials with scattered data causes serious difficulties

Interpolation by splines • A spline is a piecewise polynomial function • In defining a spline function, the continuity and smoothness between two segments are constrained • Bicubic splines, which have continuous second derivatives are commonly used for surface fitting

Surface Interpolation by Regularization • A problem is either well-posed or ill posed • Regularization is the frame within which an ill- posed problem is changed into a well-posed one • The problem is then reformulated, based on the variational principle, so as to minimize an energy function E • It has two functionals S & D • The variable λ is the controls the influence of the two functionals

Phases in Reconstruction

Add a comment

Related presentations

Related pages

robust algorithm for surface reconstruction from 3D point ...

robust algorithm for surface reconstruction from ... Surface reconstruction from 3D point cloud dealing ... 3D scene reconstruction using a point cloud in ...
Read more

Surface Reconstruction from Point Clouds - NCCA | National ...

Surface Reconstruction from Point Clouds ... STEP 2: Estimate the surface normals using the Principal Component Analysis discussed in Chapter 10.
Read more

Surface Reconstruction from Point Cloud

Surface Reconstruction from Point Cloud ... Surface Reconstruction Padding Cell ... Surface Input Data Point
Read more

PC Surface Reconstruction - Google Sites

The PC_Demo is designed to perform our implicit surface reconstruction ... Surface Reconstruction for Point Clouds ... consistent surface ...
Read more

Poisson Surface Reconstruction - 3D Scan 2.0

» Poisson Surface Reconstruction. After scanning an object into a point cloud, ... Extraction of the Surface using “Marching Cubes”
Read more

Point cloud - Wikipedia, the free encyclopedia

A point cloud is a set of data points in ... or CAD models through a process commonly referred to as surface reconstruction. ... Using point clouds multi ...
Read more

Tomographic surface reconstruction from point cloud

... tomographic surface reconstruction, ... to surface reconstruction from a point cloud, ... surface reconstruction algorithms using sensor ...
Read more

Point Cloud Library (PCL): Module surface

Point Cloud Library (PCL) ... The marching cubes surface reconstruction algorithm, using a signed distance function based on radial basis functions.
Read more