Geometric Modeling
Fall 2002

Elif Tosun


Final Project: Natural Parametrizations

Goal :  Implementation of Natural Parametrizations as described in paper by Desbrun, Meyer and Allez [1].

Output Examples:

Data Set 1: Basic 1-Ring
 INPUT                                                                                                                                 


Image File
Matlab File

USER MAPPED BOUNDARY



Image File
Matlab File


NATURAL BOUNDARY



Image File
Matlab File


 


Data Set 2: 2 1-Rings Attached

 
 INPUT                                                                                                                              

 
Image File
Matlab File

USER MAPPED BOUNDARY



Image File
Matlab File

NATURAL BOUNDARY



Image File
Matlab File


Data Set 3: A 2-Ring
 INPUT                                                                                                                              

 
Image File
Matlab File

USER MAPPED BOUNDARY



Image File
Matlab File

NATURAL BOUNDARY



Image File
Matlab File

       

Data Set 4: The Head
INPUT:



Image Files:   im1, im2, im3
Matlab Files: matlab

USER MAPPED BOUNDARY:


ORIGINAL Image File, Matlab File
ZOOMED Image File


NATURAL BOUNDARY:


ORIGINAL Image File, Matlab File ZOOMED Image File


              
Source


References:

[1] M. Desbrun,  M. Meyer, P. Alliez. Intrinsic Parametrizations of Surface Meshes.
      EUROGRAPHICS 2002, Vol 21, No:2.