SYSTEMS AND METHODS FOR SHAPE ANALYSIS USING LANDMARK-DRIVEN QUASICONFORMAL MAPPING

摘要

Methods, systems, and computer-readable media that can perform novel and effective flattening of an image are provided. The flattening can be based on quasiconformal mapping. Such mapping can be used to straighten the main landmark curves with least conformality (angle) distortion. This technique can be referred to as quasiconformal straightening (QCS), and it can provide a canonical and straightforward view of convoluted surfaces. The computation can be based on the holomorphic 1-form method with landmark straightening constraints and quasiconformal optimization.

主权项

1. A computer-readable medium having computer-executable instructions for performing a method for producing a flattened map of an image, the method comprising:
receiving data for a three-dimensional surface of the image; computing a quasi-holomorphic 1-form of the surface; integrating the quasi-holomorphic 1-form to obtain quasiconformal mapping of the surface; and optimizing the quasiconformal mapping to obtain the flattened map.