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How to Measure Cortical Folding from MR Images: a Step-by-Step Tutorial to Compute Local Gyrification Index

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Deflectometric method for surface shape reconstruction from its gradient.

Antonin Miks¹, Jiri Novak

¹Czech Technical University in Prague, Faculty of Civil Engineering, Department of Physics, Thakurova 7, 16629 Prague, Czech Republic. miks@fsv.cvut.cz

|December 25, 2012

Summary

This summary is machine-generated.

This study analyzes the gradient deflectometric method for 3D surface topography measurement. The method reconstructs surface shape by solving a nonlinear partial differential equation, offering noncontact measurement without a reference surface.

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Area of Science:

Optics
Metrology
Surface Science

Background:

Accurate 3D topography measurement is crucial for optically smooth surfaces.
Existing methods may require contact or reference surfaces, limiting applications.

Purpose of the Study:

To provide a theoretical analysis of the gradient deflectometric method for 3D topography.
To demonstrate its capability for optically smooth surfaces.

Main Methods:

Theoretical analysis of the gradient deflectometric technique.
Derivation of a nonlinear partial differential equation for surface reconstruction.

Main Results:

The surface reconstruction problem is formulated as a nonlinear partial differential equation.
A method to calculate surface shape by solving the derived equation is presented.

Conclusions:

The gradient deflectometric method offers a viable approach for noncontact 3D topography measurement.
The method eliminates the need for a reference surface, enhancing its practicality.