Hybrid Function Representation for Heterogeneous Objects

12/30/2020
by   A. Tereshin, et al.
0

Heterogeneous object modelling is an emerging area where geometric shapes are considered in concert with their internal physically-based attributes. This paper describes a novel theoretical and practical framework for modelling volumetric heterogeneous objects on the basis of a novel unifying functionally-based hybrid representation called HFRep. This new representation allows for obtaining a continuous smooth distance field in Euclidean space and preserves the advantages of the conventional representations based on scalar fields of different kinds without their drawbacks. We systematically describe the mathematical and algorithmic basics of HFRep. The steps of the basic algorithm are presented in detail for both geometry and attributes. To solve some problematic issues, we have suggested several practical solutions, including a new algorithm for solving the eikonal equation on hierarchical grids. Finally, we show the practicality of the approach by modelling several representative heterogeneous objects, including those of a time-variant nature.

READ FULL TEXT

page 5

page 8

page 13

page 14

page 17

page 20

page 21

page 22

research
06/09/2021

Interactive Modelling of Volumetric Musculoskeletal Anatomy

We present a new approach for modelling musculoskeletal anatomy. Unlike ...
research
01/01/1997

Improved Heterogeneous Distance Functions

Instance-based learning techniques typically handle continuous and linea...
research
03/26/2023

Dual-Quaternion Julia Fractals

Fractals offer the ability to generate fascinating geometric shapes with...
research
12/29/2020

Hybrid Micro/Macro Level Convolution for Heterogeneous Graph Learning

Heterogeneous graphs are pervasive in practical scenarios, where each gr...
research
06/12/2017

General Latent Feature Models for Heterogeneous Datasets

Latent feature modeling allows capturing the latent structure responsibl...
research
06/25/2023

Effectively Rearranging Heterogeneous Objects on Cluttered Tabletops

Effectively rearranging heterogeneous objects constitutes a high-utility...
research
06/20/2018

Hybrid Bayesian Eigenobjects: Combining Linear Subspace and Deep Network Methods for 3D Robot Vision

We introduce Hybrid Bayesian Eigenobjects (HBEOs), a novel representatio...

Please sign up or login with your details

Forgot password? Click here to reset