START Guide Deutsch Adjustment : Adjusting surfaces

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[PageContents]
Through given data points in 3D-space an adjusting (i.e. best fitting) surface (plane, sphere, ellipsoid or general quadric) is computed. Also a plane through 3 points, a sphere through 4 points etc. can be computed. Additional points may be projected onto the surfaces.

Note

Data points Pointnames and three coordinates per point


Type of system:

Column format:


for first, second and third coordinate
Points to be projected Pointnames and coordinates
type & format as above

2D point: Find third coordinate such that point lies on the surface.

3D point: Find closest point on the surface and compute distance.

Suffix for names of projected points lightbulb

Compute adjusting

1 more example

List of data points
List of points to be proj.
Forthcoming: : Use of grid systems, transfer of an adjustment model to for re-computation with extended options, degenerate quadrics, application of weights also to points to be projected

START Guide Deutsch In the library

Link Author(s)Title Year Type Pages
MByte
PDF: open accessLehmann RType-constrained total least squares fitting of curved surfaces to 3D point clouds2019BasR13
0.8
PDF: restricted accessBureick J, Neuner H, Harmening C, Neumann ICurve and Surface Approximation of 3D Point Clouds2016BasR13
0.1
PDF: restricted accessKoch KR, Schmidt MN-dimensional B-spline surface estimated by lofting for locally improving IRI2011BasR11
0.1
PDF: restricted accessKoch KRNURBS Surface with Changing Shape2010BasR7
0.1
PDF: restricted accessKoch KRFitting Free-Form Surfaces to Laserscan Data by NURBS2009BasR7
0.1