3D reconstruction of planar surface patches: A direct solution

Jòzsef Molnár, Rui Huang, Z. Kato

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

We propose a novel solution for reconstructing planar surface patches. The theoretical foundation relies on variational calculus, which yields a closed form solution for the normal and distance of a 3D planar surface patch, when an affine transformation is known between the corresponding image region pairs. Although we apply the proposed method to projective cameras, the theoretical derivation itself is not restricted to perspective projection. The method is quantitatively evaluated on a large set of synthetic data as well as on real images of urban scenes, where planar surface reconstruction is often needed. Experimental results confirm that the method provides good reconstructions in real-time.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages286-300
Number of pages15
Volume9008
ISBN (Print)9783319166278
DOIs
Publication statusPublished - 2015
Event12th Asian Conference on Computer Vision, ACCV 2014 - Singapore, Singapore
Duration: Nov 1 2014Nov 2 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9008
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other12th Asian Conference on Computer Vision, ACCV 2014
CountrySingapore
CitySingapore
Period11/1/1411/2/14

Fingerprint

3D Reconstruction
Patch
Variational techniques
Surface reconstruction
Variational Calculus
Surface Reconstruction
Cameras
Synthetic Data
Closed-form Solution
Large Set
Affine transformation
Camera
Projection
Real-time
Experimental Results

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Molnár, J., Huang, R., & Kato, Z. (2015). 3D reconstruction of planar surface patches: A direct solution. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9008, pp. 286-300). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9008). Springer Verlag. https://doi.org/10.1007/978-3-319-16628-5_21

3D reconstruction of planar surface patches : A direct solution. / Molnár, Jòzsef; Huang, Rui; Kato, Z.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 9008 Springer Verlag, 2015. p. 286-300 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9008).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Molnár, J, Huang, R & Kato, Z 2015, 3D reconstruction of planar surface patches: A direct solution. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 9008, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9008, Springer Verlag, pp. 286-300, 12th Asian Conference on Computer Vision, ACCV 2014, Singapore, Singapore, 11/1/14. https://doi.org/10.1007/978-3-319-16628-5_21
Molnár J, Huang R, Kato Z. 3D reconstruction of planar surface patches: A direct solution. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 9008. Springer Verlag. 2015. p. 286-300. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-16628-5_21
Molnár, Jòzsef ; Huang, Rui ; Kato, Z. / 3D reconstruction of planar surface patches : A direct solution. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 9008 Springer Verlag, 2015. pp. 286-300 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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