Nowadays, digital 3D models are in widespread and ubiquitous use, and each specific
application dealing with 3D geometry has its own quality requirements that restrict the class …

We present an algorithm for curve skeleton extraction via Laplacian-based contraction. Our
algorithm can be applied to surfaces with boundaries, polygon soups, and point clouds. We …

Given a shape, a skeleton is a thin centered structure which jointly describes the topology
and the geometry of the shape. Skeletons provide an alternative to classical boundary or …

Surface reconstruction methods allow advanced analysis of structural and functional brain
data beyond what can be achieved using volumetric images alone. Automated generation of …

This paper presents an automatic algorithm which reconstructs building models from
airborne LiDAR (light detection and ranging) data of urban areas. While our algorithm …

The complexity of building models directly affects the application efficiencies of 3D urban
maps. To address the challenges of building models with various structures, we propose a …

We introduce an algorithm for generating novel 3D models via topology-varying shape
blending. Given a source and a target shape, our method blends them topologically and …

A special family of non-trivial loops on a surface called handle and tunnel loops associates
closely to geometric features of" handles" and" tunnels" respectively in a 3D model. The …

Many applications such as topology repair, model editing, surface parameterization, and
feature recognition benefit from computing loops on surfaces that wrap around their'handles' …

摘要随着三维扫描获取技术的快速发展, 三维数字几何模型已经成为一种新兴的数字媒体,
在多个领域取得了广泛的应用. 针对数字几何进行高效, 鲁棒的处理, 也成为近年来计算机图形学 …