Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 2005
DOI: 10.1109/iccv.2005.2
|View full text |Cite
|
Sign up to set email alerts
|

3D shape recognition and reconstruction based on line element geometry

Abstract: This paper presents a new method for the recognition and reconstruction of surfaces from 3D data. Line element geometry, which generalizes both line geometry and the Laguerre geometry of oriented planes, enables us to recognize a wide class of surfaces (spiral surfaces, cones, helical surfaces, rotational surfaces, cylinders, etc.) by fitting linear subspaces in an appropriate seven-dimensional image space. In combination with standard techniques such as PCA and RANSAC, line element geometry is employed to eff… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

3
42
0
1

Year Published

2012
2012
2019
2019

Publication Types

Select...
5
2

Relationship

0
7

Authors

Journals

citations
Cited by 32 publications
(55 citation statements)
references
References 18 publications
3
42
0
1
Order By: Relevance
“…Thus this method tends to accept some points that match the motion, but are not conceptually part of a coherent sweep surface. We may perform some light filtering using morphological operators to remove narrow disconnected surface strips, as suggested by [14]. However, some user correction may still be needed in cases such as the one shown in Figure 2, because the erroneously accepted regions may be fairly large, and there is no well-defined metric reason to reject them.…”
Section: "Stationary" or Generalized Rotational Sweepsmentioning
confidence: 99%
“…Thus this method tends to accept some points that match the motion, but are not conceptually part of a coherent sweep surface. We may perform some light filtering using morphological operators to remove narrow disconnected surface strips, as suggested by [14]. However, some user correction may still be needed in cases such as the one shown in Figure 2, because the erroneously accepted regions may be fairly large, and there is no well-defined metric reason to reject them.…”
Section: "Stationary" or Generalized Rotational Sweepsmentioning
confidence: 99%
“…Some systems augment this core fitting method by iterative re-weighting (for example to downweight outliers) [10,2] or subsequent application of a general, non-linear fitting technique (which requires a reasonable "initial estimate" from the core fitting method to perform well) [4].…”
Section: Common Fitting Methodsmentioning
confidence: 99%
“…Kinematic surfaces are a class of primitive surfaces notable for their general applicability. They can be used to classify a wide range of common surfaces: spheres, planes, cylinders, cones, surfaces of revolution, logarithmic spirals, helices, and more [2]. By chaining simple kinematic surfaces, even more interesting surfaces can be fit, including profile and developable surfaces [3].…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…For instance, Schnabel et al [23] present an efficient RANSAC approach to detect primitive shapes from point clouds. Hofer et al [13] adopt line geometry for the recognition and reconstruction of 3D surfaces. Many methods of fitting primitives are designed for reverse engineering such as [1].…”
Section: Modeling From Point Cloudsmentioning
confidence: 99%