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54
Explain Stretch Minimizing Parametrization!
Discrete Harmonic Parametrization may introduce unwanted stretch.
Idea: Repeat: Compute Harmonic Parametrization. Compute local stretch measures. Update weights
according to local stretch measures.
Stretch Measure
SVD of Jacobian of
Stretch Measure:
: Ellipsoid in 
is enlarged by . In order to make it smaller, push parameter positions away from each other in . To achieve this, decrease local spring weights.
: Ellipsoid in is shrunk by . In order to make it bigger, pull parameter positions closer together in . To achieve this, increase local spring weights.
This gives the update rule:
Idea: Repeat: Compute Harmonic Parametrization. Compute local stretch measures. Update weights
according to local stretch measures.Stretch Measure
SVD of Jacobian of
Stretch Measure:
: Ellipsoid in is enlarged by . In order to make it smaller, push parameter positions away from each other in . To achieve this, decrease local spring weights.: Ellipsoid in is shrunk by . In order to make it bigger, pull parameter positions closer together in . To achieve this, increase local spring weights.This gives the update rule:
Flashcard info:
Author: janisborn
Main topic: Informatik
Topic: Computergrafik
School / Univ.: RWTH Aachen
City: Aachen
Published: 18.05.2022