2015
DOI: 10.1016/j.cad.2014.08.019
|View full text |Cite
|
Sign up to set email alerts
|

Reliable detection and separation of components for solid objects defined with scalar fields

Abstract: The detection of the number of disjoint components is a well-known procedure for surface objects. However, this problem has not been solved for solid models defined with scalar fields in the so-called implicit form. In this paper, we present a technique which allows for detection of the number of disjoint components with a predefined tolerance for an object defined with a single scalar function. The core of the technique is a reliable continuation of the spatial enumeration based on the interval methods. We al… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2015
2015
2015
2015

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
(1 citation statement)
references
References 26 publications
0
1
0
Order By: Relevance
“…Researchers have developed computationally efficient solutions to represent heterogeneous objects in the realm of computer graphics and animation [41,42] that use mesh-free geometry such as implicit surface primitives [41], or interpolated scalar fields onto surfaces of primitives defined as diffusion surfaces http://matter.media.mit.edu ! 4!…”
Section: Heterogeneous Object Modeling (Hom)mentioning
confidence: 99%
“…Researchers have developed computationally efficient solutions to represent heterogeneous objects in the realm of computer graphics and animation [41,42] that use mesh-free geometry such as implicit surface primitives [41], or interpolated scalar fields onto surfaces of primitives defined as diffusion surfaces http://matter.media.mit.edu ! 4!…”
Section: Heterogeneous Object Modeling (Hom)mentioning
confidence: 99%