Search Results - "Ren, Yuxue"
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1
Characteristic Class of Isotopy for Surfaces
Published in Journal of systems science and complexity (01-12-2020)“…It is an important problem in topology to verify whether two embeddings are isotopic. This work proposes an algorithm for computing Haefliger-Wu invariants for…”
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Robust and accurate optimal transportation map by self-adaptive sampling
Published in Frontiers of information technology & electronic engineering (01-09-2021)“…Optimal transportation plays a fundamental role in many fields in engineering and medicine, including surface parameterization in graphics, registration in…”
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3
Lower and upper bounds for the blow-up time for nonlinear wave equation with variable sources
Published in Computers & mathematics with applications (1987) (01-01-2016)“…This paper deals with the blowing up solution to a damped nonlinear hyperbolic equation with variable sources. Under some conditions on the initial data, the…”
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4
Ricci curvature based volumetric segmentation
Published in Image and vision computing (01-10-2024)“…The level set method has played a critical role among many image segmentation approaches. Several edge detectors, such as the gradient, have been applied to…”
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Study of Tunnel Surface Parameterization of 3-D Laser Point Cloud Based on Harmonic Map
Published in IEEE geoscience and remote sensing letters (01-09-2020)“…In the maintenance work of tunnels, images are often used to detect diseases, but collections of tunnel images are limited by the tunnel environment and…”
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Global Parameterization-based Texture Space Optimization
Published 06-06-2024“…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…”
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A Graph-based Error Correction Model Using Lie-algebraic Cohomology and Its Application on Global Consistent Indoor Scene Reconstruction
Published in 2023 IEEE Conference on Virtual Reality and 3D User Interfaces Abstracts and Workshops (VRW) (01-03-2023)“…We present a novel, effective method for global indoor scene reconstruction problems by geometric topology. Based on point cloud pairwise registration methods…”
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Conference Proceeding -
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Approximate Minimum Homology Basis for 3D Image and Its Application in Medical Image Segmentation
Published in 2022 IEEE International Conference on Bioinformatics and Biomedicine (BIBM) (06-12-2022)“…3D medical images consist of voxels with points, edges, faces, and volumes. A fascinating question is how to compute the shortest basis of the first homology…”
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Conference Proceeding -
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Global Consistent Point Cloud Registration Based on Lie-algebraic Cohomology
Published 15-08-2022“…We present a novel, effective method for global point cloud registration problems by geometric topology. Based on many point cloud pairwise registration…”
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Journal Article -
10
Ricci Curvature Based Volumetric Segmentation of the Auditory Ossicles
Published 26-06-2020“…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…”
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The vanishing ideal of a finite set of points with multiplicity structures
Published 20-01-2013“…Given a finite set of arbitrarily distributed points in affine space with arbitrary multiplicity structures, we present an algorithm to compute the reduced…”
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Journal Article