Shape from specular flow with near-field environment motion field

Hongsong Li; Ting Song; Zehuan Wu; Jiandong Ma; Gangyi Ding

doi:10.1007/978-3-319-14249-4_35

Shape from specular flow with near-field environment motion field

Hongsong Li^*, Ting Song, Zehuan Wu, Jiandong Ma, Gangyi Ding

^*Corresponding author for this work

Beijing Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Reconstruction of curved, mirror-like surfaces in unknown lighting environments is a challenging problem. One well-known solution is the ‘shape from specular flow’ approach, which assumes far-field environment illumination. The assumption makes it impractical for the case of near-field environment. We show that with the presence of unknown nearby objects, the observed specular flow can be related to the surface shape and the environment motion through a group of nonlinear partial differential equations. This PDE system can be converted into a canonical form of hyperbolic equation. Stable, unique solution of such equation exists when the Cauchy boundary condition is given. Numerical methods are implemented to solve the PDE system for the case of translating near-field environment motions. Both the curved surface and the near-field environment are recovered. Experiments on both real and synthetic data support the proposed method.

Original language	English
Title of host publication	Advances in Visual Computing - 10th International Symposium, ISVC 2014, Proceedings
Editors	George Bebis, Richard Boyle, Bahram Parvin, Darko Koracin, Ryan McMahan, Jason Jerald, Hui Zhang, Steven M. Drucker, Kambhamettu Chandra, El Choubassi Maha, Zhigang Deng, Mark Carlson
Publisher	Springer Verlag
Pages	367-378
Number of pages	12
ISBN (Electronic)	9783319142487
DOIs	https://doi.org/10.1007/978-3-319-14249-4_35
Publication status	Published - 2014
Externally published	Yes
Event	10th International Symposium on Visual Computing, ISVC 2014 - Las Vegas, United States Duration: 8 Dec 2014 → 10 Dec 2014

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	8887
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	10th International Symposium on Visual Computing, ISVC 2014
Country/Territory	United States
City	Las Vegas
Period	8/12/14 → 10/12/14

Keywords

Optical flow
Partial differential equation
Shape from shading
Specular surfaces

Access to Document

10.1007/978-3-319-14249-4_35

Cite this

Li, H., Song, T., Wu, Z., Ma, J., & Ding, G. (2014). Shape from specular flow with near-field environment motion field. In G. Bebis, R. Boyle, B. Parvin, D. Koracin, R. McMahan, J. Jerald, H. Zhang, S. M. Drucker, K. Chandra, E. C. Maha, Z. Deng, & M. Carlson (Eds.), Advances in Visual Computing - 10th International Symposium, ISVC 2014, Proceedings (pp. 367-378). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8887). Springer Verlag. https://doi.org/10.1007/978-3-319-14249-4_35

Li, Hongsong ; Song, Ting ; Wu, Zehuan et al. / Shape from specular flow with near-field environment motion field. Advances in Visual Computing - 10th International Symposium, ISVC 2014, Proceedings. editor / George Bebis ; Richard Boyle ; Bahram Parvin ; Darko Koracin ; Ryan McMahan ; Jason Jerald ; Hui Zhang ; Steven M. Drucker ; Kambhamettu Chandra ; El Choubassi Maha ; Zhigang Deng ; Mark Carlson. Springer Verlag, 2014. pp. 367-378 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{7103bacb28774bd88a1a5a6d16be34de,

title = "Shape from specular flow with near-field environment motion field",

abstract = "Reconstruction of curved, mirror-like surfaces in unknown lighting environments is a challenging problem. One well-known solution is the {\textquoteleft}shape from specular flow{\textquoteright} approach, which assumes far-field environment illumination. The assumption makes it impractical for the case of near-field environment. We show that with the presence of unknown nearby objects, the observed specular flow can be related to the surface shape and the environment motion through a group of nonlinear partial differential equations. This PDE system can be converted into a canonical form of hyperbolic equation. Stable, unique solution of such equation exists when the Cauchy boundary condition is given. Numerical methods are implemented to solve the PDE system for the case of translating near-field environment motions. Both the curved surface and the near-field environment are recovered. Experiments on both real and synthetic data support the proposed method.",

keywords = "Optical flow, Partial differential equation, Shape from shading, Specular surfaces",

author = "Hongsong Li and Ting Song and Zehuan Wu and Jiandong Ma and Gangyi Ding",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2014.; 10th International Symposium on Visual Computing, ISVC 2014 ; Conference date: 08-12-2014 Through 10-12-2014",

year = "2014",

doi = "10.1007/978-3-319-14249-4\_35",

language = "English",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "367--378",

editor = "George Bebis and Richard Boyle and Bahram Parvin and Darko Koracin and Ryan McMahan and Jason Jerald and Hui Zhang and Drucker, \{Steven M.\} and Kambhamettu Chandra and Maha, \{El Choubassi\} and Zhigang Deng and Mark Carlson",

booktitle = "Advances in Visual Computing - 10th International Symposium, ISVC 2014, Proceedings",

address = "Germany",

}

Li, H, Song, T, Wu, Z, Ma, J & Ding, G 2014, Shape from specular flow with near-field environment motion field. in G Bebis, R Boyle, B Parvin, D Koracin, R McMahan, J Jerald, H Zhang, SM Drucker, K Chandra, EC Maha, Z Deng & M Carlson (eds), Advances in Visual Computing - 10th International Symposium, ISVC 2014, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8887, Springer Verlag, pp. 367-378, 10th International Symposium on Visual Computing, ISVC 2014, Las Vegas, United States, 8/12/14. https://doi.org/10.1007/978-3-319-14249-4_35

Shape from specular flow with near-field environment motion field. / Li, Hongsong; Song, Ting; Wu, Zehuan et al.
Advances in Visual Computing - 10th International Symposium, ISVC 2014, Proceedings. ed. / George Bebis; Richard Boyle; Bahram Parvin; Darko Koracin; Ryan McMahan; Jason Jerald; Hui Zhang; Steven M. Drucker; Kambhamettu Chandra; El Choubassi Maha; Zhigang Deng; Mark Carlson. Springer Verlag, 2014. p. 367-378 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8887).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Shape from specular flow with near-field environment motion field

AU - Li, Hongsong

AU - Song, Ting

AU - Wu, Zehuan

AU - Ma, Jiandong

AU - Ding, Gangyi

N1 - Publisher Copyright: © Springer International Publishing Switzerland 2014.

PY - 2014

Y1 - 2014

N2 - Reconstruction of curved, mirror-like surfaces in unknown lighting environments is a challenging problem. One well-known solution is the ‘shape from specular flow’ approach, which assumes far-field environment illumination. The assumption makes it impractical for the case of near-field environment. We show that with the presence of unknown nearby objects, the observed specular flow can be related to the surface shape and the environment motion through a group of nonlinear partial differential equations. This PDE system can be converted into a canonical form of hyperbolic equation. Stable, unique solution of such equation exists when the Cauchy boundary condition is given. Numerical methods are implemented to solve the PDE system for the case of translating near-field environment motions. Both the curved surface and the near-field environment are recovered. Experiments on both real and synthetic data support the proposed method.

AB - Reconstruction of curved, mirror-like surfaces in unknown lighting environments is a challenging problem. One well-known solution is the ‘shape from specular flow’ approach, which assumes far-field environment illumination. The assumption makes it impractical for the case of near-field environment. We show that with the presence of unknown nearby objects, the observed specular flow can be related to the surface shape and the environment motion through a group of nonlinear partial differential equations. This PDE system can be converted into a canonical form of hyperbolic equation. Stable, unique solution of such equation exists when the Cauchy boundary condition is given. Numerical methods are implemented to solve the PDE system for the case of translating near-field environment motions. Both the curved surface and the near-field environment are recovered. Experiments on both real and synthetic data support the proposed method.

KW - Optical flow

KW - Partial differential equation

KW - Shape from shading

KW - Specular surfaces

UR - http://www.scopus.com/inward/record.url?scp=84916607687&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-14249-4_35

DO - 10.1007/978-3-319-14249-4_35

M3 - Conference contribution

AN - SCOPUS:84916607687

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 367

EP - 378

BT - Advances in Visual Computing - 10th International Symposium, ISVC 2014, Proceedings

A2 - Bebis, George

A2 - Boyle, Richard

A2 - Parvin, Bahram

A2 - Koracin, Darko

A2 - McMahan, Ryan

A2 - Jerald, Jason

A2 - Zhang, Hui

A2 - Drucker, Steven M.

A2 - Chandra, Kambhamettu

A2 - Maha, El Choubassi

A2 - Deng, Zhigang

A2 - Carlson, Mark

PB - Springer Verlag

T2 - 10th International Symposium on Visual Computing, ISVC 2014

Y2 - 8 December 2014 through 10 December 2014

ER -

Li H, Song T, Wu Z, Ma J, Ding G. Shape from specular flow with near-field environment motion field. In Bebis G, Boyle R, Parvin B, Koracin D, McMahan R, Jerald J, Zhang H, Drucker SM, Chandra K, Maha EC, Deng Z, Carlson M, editors, Advances in Visual Computing - 10th International Symposium, ISVC 2014, Proceedings. Springer Verlag. 2014. p. 367-378. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-14249-4_35

Shape from specular flow with near-field environment motion field

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this