A Technique for Parameterisation of Closed Surfaces and Surface Description Using Spherical Harmonics Athanasios Zacharopoulos Supervisor Simon Arridge SSIP 2001 Szeged Hungary Summer 2001

2001. 07. 23.


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Table of Contents

A Technique for Parameterisation of Closed Surfaces and Surface Description Using Spherical Harmonics Athanasios Zacharopoulos Supervisor Simon Arridge SSIP 2001 Szeged Hungary Summer 2001

Outline

Surface Parameterisation

From Voxel Surface to Nodes Net

Nodes Net

Vertices ID, Direct Neighbours, Faces

Initial Mapping

Step1:Latitude from diffusion

Step2:Longitude from diffusion

The Mapping should be:

Optimisation

Constraints

Constraint Optimisation

Methodology

Newton Scheme

Newton-Raphson Scheme

Conjugate Gradient

PPT Slide

Conjugate Gradient : line search

Convergence Conditions

PPT Slide

Spherical Harmonics

Properties Of S. Harmonics

Spherical Harmonics

Spherical Harmonics

Expressing surface shape

Spherical Harmonic Shape Descriptors

Results

Results

conclusions

Conclusions & Future work

References

References

The End

PPT Slide

Initial mapping

Reconstruction

 Author: Athanasios Zacharopoulos

Email: ssip@inf.u-szeged.hu

Home Page: http://www.inf.u-szeged.hu/~ssip