Abstract
A novel method based on subdivision mesh for geometric calibration problem is proposed, which can correct the projector imagery on smooth curved screen with respect to the screen geometry and the observer’s position. Using sparse initial mesh extracted from the image of camera and a special designed subdivision algorithm, we can subdivide the initial mesh into arbitrary precision. Hence, the one-one correspondence of pixels between the frame buffer of projector and image of camera can be established. Using this correspondence, we can transform the projector imagery into any shape through the image of camera. So the geometric calibration can be done easily by mapping all pixels of frame-buffer image to an undistorted mesh on curved screen specified by a laser theodolite. Theoretical analysis and experimental results show that the method can automatically, accurately and rapidly display an undistorted image on curved screen, without any projector and camera registrations or prior knowledge of screen.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Raij, A., Gill, G., Majumder, A., Towles, H., Fuchs, A.H.: PixelFlex2: A Comprehensive, Automatic, Casually-Aligned Multi-Projector Display. In: Proc. IEEE Int’l Workshop Projector-Camera Systems (2003)
Rasker, R., van Baar, J., Willwacher, T.: Quadric Transfer for Immersive Curved Display, Mitsubishi Electric Research Laboratories, Inc., Massachusetts, TR-2004-34 (2004)
Brown, M., Majumder, A., Yang, R.: Camera-Based Calibration Techniques for Seam-less Multiprojector Displays. IEEE Transactions on Visualization and Computer Graphics 11, 193–206 (2005)
Raskar, R., van Baar, J., Beardsley, P.: iLamps: Geometrically Aware and Self-Configuring Projectors. In: ACM SIGGRAPH 2003 Proceedings, pp. 809–818 (2003)
Tardif, J., Roy, S., Trudeau, M.: Multi-projectors for arbitrary surfaces without explicit calibration nor reconstruction. In: Proc. 2003 Fourth International Conference on 3-D Digital Imaging and Modeling, pp. 217–224 (2003)
Harville, M., Culbertson, B., Sobel, I., Gelb, D., Fitzhugh, A., Tanguay, D., et al.: Practical Methods for Geometric and Photometric Correction of Tiled Projector Displays on Curved Surfaces. In: Proceedings of the 2006 Conference on Computer Vision and Pattern Recognition Workshop (2006)
Li, G., Ma, W.: Composite √2 subdivision surfaces. Computer Aided Geometric Design 24, 339–360 (2007)
Dyn, N., Levin, D.: A Butterfly Subdivision Scheme for Surface Interpolation with Tension Control. ACM Transactions on Graphics 9, 160–169 (1990)
Zorin, D.: A Method for analysis of C1-Continuity of Subdivision surface. Numerical Analysis 37, 1677–1708 (2000)
Zorin, D.: Smoothness of Stationary Subdivision on irregular meshes. Constructive Approximation 16, 359–397 (2000)
Reif, U.: A unified approach to subdivision algorithms near extraordinary vertices. Computer Aided Geometric Design 12, 153–174 (1995)
Chen, D., Zhang, G.: A New Sub-pixel Dector for X-Corners in Camera Calibration Targets. In: Proc. WSCG 2005 Short Papers Proceedings, pp. 97–101 (2005)
J. Bouguet, Camera Calibration Toolbox for Matlab, http://www.vision.caltech.edu/bouguetj/
Xiuhui, W., Wei, H., Hujun, B.: Global Color Correction for Multi2Projector Tiled Display Wall. Journal of Computer Aided Design & Computer Graphics 19, 96–101 (2006)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhang, J., Wang, B., Li, X. (2008). Geometric Calibration of Projector Imagery on Curved Screen Based-on Subdivision Mesh. In: Chen, F., Jüttler, B. (eds) Advances in Geometric Modeling and Processing. GMP 2008. Lecture Notes in Computer Science, vol 4975. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79246-8_52
Download citation
DOI: https://doi.org/10.1007/978-3-540-79246-8_52
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-79245-1
Online ISBN: 978-3-540-79246-8
eBook Packages: Computer ScienceComputer Science (R0)