Distance Metric between 3 D Models and 2 D Image _ _ for Recognition and Classification D TIC

Abstract C Similarity measurements between 3D objects and 2D images are useful for the tasks of object recognition and classification. We distinguish between two types of similarity metrics: metrics computed in image-space (image metrics) and metrics computed in transformationspace (transformation metrics). Existing methods typically use image metrics; namely, metrics that measure the difference in the image between the observed image and the nearest view of the object. Example for such a measure is the Euclidean distance between feature points' in the image and their corresponding points in the nearest view. (Computing this measure i equivalent to solving the ezterior orientation calibration problem.) In this paper we introduce a, different type of metrics: transformation metrics. These metrics penalize for the deformations applied to the object to produce the observed image.

[1]  Ronen Basri,et al.  Recognition by Linear Combinations of Models , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  D. W. Thompson,et al.  Three-dimensional model matching from an unconstrained viewpoint , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[3]  Daphna Weinshall,et al.  Linear and incremental acquisition of invariant shape models from image sequences , 1993, 1993 (4th) International Conference on Computer Vision.

[4]  Ronen Basri,et al.  The Alignment Of Objects With Smooth Surfaces , 1988, [1988 Proceedings] Second International Conference on Computer Vision.

[5]  Lawrence G. Roberts,et al.  Machine Perception of Three-Dimensional Solids , 1963, Outstanding Dissertations in the Computer Sciences.

[6]  Robert C. Bolles,et al.  Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography , 1981, CACM.

[7]  Joseph S.-C. Yuan A general photogrammetric method for determining object position and orientation , 1989, IEEE Trans. Robotics Autom..

[8]  David A. Forsyth,et al.  Invariant Descriptors for 3D Object Recognition and Pose , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Yehezkel Lamdan,et al.  On recognition of 3-D objects from 2-D images , 2011, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[10]  Radu Horaud,et al.  An analytic solution for the perspective 4-point problem , 1989, Proceedings CVPR '89: IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[11]  Larry S. Davis,et al.  Model-based object pose in 25 lines of code , 1992, International Journal of Computer Vision.

[12]  Robert M. Haralick,et al.  Analysis and solutions of the three point perspective pose estimation problem , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.