A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
3D Symmetry Detection Using The Extended Gaussian Image
IEEE Transactions on Pattern Analysis and Machine Intelligence
COSMOS-A Representation Scheme for 3D Free-Form Objects
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Using Spin Images for Efficient Object Recognition in Cluttered 3D Scenes
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Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
ICP Registration Using Invariant Features
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Complex EGI: A New Representation for 3-D Pose Determination
IEEE Transactions on Pattern Analysis and Machine Intelligence
Free-Form Surface Registration Using Surface Signatures
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Shape representations and algorithms for three-dimensional model retrieval
Shape representations and algorithms for three-dimensional model retrieval
Complex EGI Based 3D-Mesh Watermarking*
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Recognition of 3-D objects using the extended Gaussian image
IJCAI'81 Proceedings of the 7th international joint conference on Artificial intelligence - Volume 2
Determining object attitude from extended Gaussian images
IJCAI'85 Proceedings of the 9th international joint conference on Artificial intelligence - Volume 2
3D shape recovery by the use of single image plus simple pattern illumination
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
3D model retrieval based on multi-shell extended Gaussian image
VISUAL'07 Proceedings of the 9th international conference on Advances in visual information systems
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Extended Gaussian image (EGI) and complex EGI (CEGI) have been widely used as the representation of 3D shapes for shape recognition and pose estimation. In this work, we extend the representations and present a new representation named enriched complex extended Gaussian image (EC-EGI). The representation follows the same framework of EGI and CEGI, which is to represent each surface patch of the target 3D shape as a weight at the associated spot on the surface of the Gaussian sphere. However, while the original CEGI uses a single complex number as the weight, the new representation uses three complex numbers, which are related to the centroid position of the surface patch in 3D. With the inclusion of more information in the new representation, not only could object pose be determined more accurately, but also some key ambiguities of shape representation that CEGI and EGI have also removed. The translation parameters in the pose estimation application could also be determined in a simpler and more accurate way. In addition, the Gaussian sphere partition problem of CEGI is no longer present. Experimental results on synthetic and real image data are shown to illustrate the performance of the proposed representation in pose estimation.