A Spline-based Volumetric Data Modeling Framework and Its Applications

08/05/2013
by   Bo Li, et al.
0

In this dissertation, we concentrate on the challenging research issue of developing a spline-based modeling framework, which converts the conventional data (e.g., surface meshes) to tensor-product trivariate splines. This methodology can represent both boundary/volumetric geometry and real volumetric physical attributes in a compact and continuous fashion. The regular tensor-product structure enables our new developed methods to be embedded into the industry standard seamlessly. These properties make our techniques highly preferable in many physically-based applications including mechanical analysis, shape deformation and editing, virtual surgery training, etc.

READ FULL TEXT
research
03/21/2019

Volumetric Untrimming: Precise decomposition of trimmed trivariates into tensor products

3D objects, modeled using Computer Aided Geometric Design tools, are tra...
research
08/05/2013

A Survey of Spline-based Volumetric Data Modeling Framework and Its Applications

The rapid advances in 3D scanning and acquisition techniques have given ...
research
06/05/2009

On the Complexity of Smooth Spline Surfaces from Quad Meshes

This paper derives strong relations that boundary curves of a smooth com...
research
03/17/2017

Volumetric parametrization from a level set boundary representation with PHT Splines

A challenge in isogeometric analysis is constructing analysis-suitable v...
research
12/10/2021

The 3D Motorcycle Complex for Structured Volume Decomposition

The so-called motorcycle graph has been employed in recent years for var...
research
06/12/2019

VIPER: Volume Invariant Position-based Elastic Rods

We extend the formulation of position-based rods to include elastic volu...
research
06/01/2018

Corner-Sharing Tetrahedra for Modeling Micro-Structure

State-of-the-art representations of volumetric multi-scale shape and str...

Please sign up or login with your details

Forgot password? Click here to reset