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Abstract

In the last decade, surface mesh parameterization has emerged as a standard
technique in computer graphics. The ever increasing need for processing large
and highly detailed data sets fosters the development of ef cient
parameterization techniques that can capture the geometry of the input meshes
and produce low distortion planar maps. We present a set of novel techniques
allowing for low distortion parameterization. In particular, we address one of
the major shortcomings of linear methods by allowing the parametric
representation to evolve freely on the plane without any fixed boundary
vertices. Our method consists of several simple steps, each solving a linear
problem. Our results exhibit a fair balance between high-quality and
computational ef ciency.