National Research Council of Canada. NRC Institute for Information Technology
Fourth International Conference on 3-D Digital Imaging and Modeling. 3DIM 2003., 6-10 October, 2003
It is widely appreciated that 3D structures may be computed from multiple 2D images of the same scene given point correspondences between images. We review the process from a projective geometry perspective. Of greater interest, however, is the generation of surfaces that give a compact representation of the geometric model. Assuming we are dealing with smooth surfaces, we show that B-spline is a good choice for this purpose and we describe how to construct it by approximating the 3D data points. The crucial step is the parameterization of the 3D points in a 2D domain. By studying the geometric constraints of multiple views, we show that the original images can be used for parameterization. The implications of the B-spline surfaces for improving the quality of texture mapping is discussed.
3-D Digital Imaging and Modeling, 2003. 3DIM 2003. Proceedings. Fourth International Conference on (2003): 163–174.