4 papers
Global Parameterization-based Texture Space Optimization
Wei Chen, Yuxue Ren, Na Lei +2
Texture mapping is a common technology in the area of computer graphics, it maps the 3D surface space onto the 2D texture space. However, the loose texture space will reduce the ef…
Global Consistent Point Cloud Registration Based on Lie-algebraic Cohomology
Yuxue Ren, Baowei Jiang, Wei Chen +2
We present a novel, effective method for global point cloud registration problems by geometric topology. Based on many point cloud pairwise registration methods (e.g ICP), we focus…
Ricci Curvature Based Volumetric Segmentation of the Auditory Ossicles
Na Lei, Jisui Huang, Yuxue Ren +2
The auditory ossicles that are located in the middle ear are the smallest bones in the human body. Their damage will result in hearing loss. It is therefore important to be able to…
The vanishing ideal of a finite set of points with multiplicity structures
Na Lei, Xiaopeng Zheng, Yuxue Ren
Given a finite set of arbitrarily distributed points in affine space with arbitrary multiplicity structures, we present an algorithm to compute the reduced Groebner basis of the va…