Abstract
We present a new approach for accurate and fast reconstruction of 3D models from hand-drawn perspective sketches and imposed geometric constraints. A distinctive feature of the approach is the decomposition of the reconstruction process into the stages of correction of the 2D sketch and elevation of the 3D model. All 3D constraints that describe the spatial structure of the model are strictly satisfied, while preferences that describe the model projection are treated in relaxed manner. The constraints are subdivided into the projective, affine and metric ones and expressed in algebraic form by using the Grassmann-Cayley algebra. The constraints are resolved one by another following the order of their types by using the local propagation methods. The preferences allow to apply linear approximations and to systematically use formal methods.
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Caprile, B., Torre, V.: Using vanishing points for camera calibration. International Journal of Computer Vision, 4(2) (1990) 127–140
Debevec, P.E., Taylor, C.J., and Malik, J.: Modeling and rendering architecture from photographs: a hybrid geometry-and image-based approach. In: Proceedings of ACM SIGGRAPH (1996) 11–20
Eggli, L., Hsu, Ch., Brüderlin, B., Elbert, G.: Inferring 3D models from freehand sketches and constraints. Computer-Aided Design, 29(2) (1997) 101–112
Lhomme, O., Kuzo, P., and Macé, P.: A constraint-based system for 3D projective geometry. In: Brüderlin, B., Roller, D. (eds.): Geometric Constraint Solving and Applications. Springer Verlag, Berlin Heidelberg New York (1998)
Liebowitz, D., Criminisi, A., Zisserman, A.: Creating architectural models from images. In: Proceedings of EuroGraphics 18(3) (1999) 39–50
Macé, P.: Tensorial calculus of line and plane in homogenous coordinates. Computer Networks and ISDN Systems 29 (1997) 1695–1704
Sosnov, A., Macé, P.: Correction d’un dessin en perspective suivant des contraintes d’orthogonalité. In: Actes de la conférence AFIG’01 (2001) 125–132
Ulupinar, F., Nevatia, R.: Constraints for interpretation of line drawings under perspective projection. CVGIP: Image Understanding 53(1) (1991) 88–96
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© 2002 Springer-Verlag Berlin Heidelberg
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Sosnov, A., Macé, P., Hégron, G. (2002). Semi-metric Formal 3D Reconstruction from Perspective Sketches. In: Sloot, P.M.A., Hoekstra, A.G., Tan, C.J.K., Dongarra, J.J. (eds) Computational Science — ICCS 2002. ICCS 2002. Lecture Notes in Computer Science, vol 2330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46080-2_30
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DOI: https://doi.org/10.1007/3-540-46080-2_30
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