Interactive Visualization of Rotational Symmetry Fields on Surfaces

Jonathan Palacios, Eugene Zhang
2011 IEEE Transactions on Visualization and Computer Graphics  
Rotational symmetries have found uses in several computer graphics applications, such as global surface parameterization, geometry remeshing, texture and geometry synthesis, and non-photorealistic visualization of surfaces. The visualization of N-way rotational symmetry (N-RoSy) fields is a challenging problem due to the ambiguities in the N directions represented by an N-way symmetry. We provide an algorithm that allows faithful and interactive representation of N-RoSy fields in the plane and
more » ... s in the plane and on surfaces, by adapting the well-known Line Integral Convolution (LIC) technique from vector and second-order tensor fields. Our algorithm captures the N directions associated with each point in a given field by decomposing the field into multiple different vector fields, generating LIC images of these fields, and then blending the results. To address the loss of contrast caused by the blending of images, we observe that the pixel values in LIC images closely approximate normally distributed random variables. This allows us to use concepts from probability theory to correct the loss of contrast without the need to perform any image analysis at each frame.
doi:10.1109/tvcg.2010.121 pmid:20855918 fatcat:fvxzm7rcrbcmnlhnbxx6pkq4ay