Abstract
We present a method for densely computing local spherical histograms of oriented gradients (SHOG) in volumetric images. The descriptors are based on the continuous representation of the orientation histograms in the harmonic domain, which we compute very efficiently via spherical tensor products and the Fast Fourier Transformation. Building upon these local spherical histogram representations, we utilize the Harmonic Filter to create a generic rotation invariant object detection system that benefits from both the highly discriminative representation of local image patches in terms of histograms of oriented gradients and an adaptable trainable voting scheme that forms the filter. We exemplarily demonstrate the effectiveness of such dense spherical 3D descriptors in a detection task on biological 3D images. In a direct comparison to existing approaches, our new filter reveals superior performance.
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References
Buch, N., Orwell, J., Velastin, S.: 3d extended histogram of oriented gradients (3dhog) for classification of road users in urban scenes. In: BMVC 2009, London, UK (2009)
Dalal, N., Triggs, B.: Histograms of oriented gradients for human detection. In: Proc. of the CVPR 2009, pp. 886–893 (2005)
Lowe, D.G.: Distinctive image features from scale-invariant keypoints. Int. J. Comput. Vision 60(2), 91–110 (2004)
Reisert, M., Burkhardt, H.: Harmonic filters for generic feature detection in 3D. In: Denzler, J., Notni, G., Süße, H. (eds.) Pattern Recognition. LNCS, vol. 5748, pp. 131–140. Springer, Heidelberg (2009)
Ronneberger, O., Wang, Q., Burkhardt, H.: 3D invariants with high robustness to local deformations for automated pollen recognition. In: Hamprecht, F.A., Schnörr, C., Jähne, B. (eds.) DAGM 2007. LNCS, vol. 4713, pp. 425–435. Springer, Heidelberg (2007)
Rose, M.: Elementary Theory of Angular Momentum. Dover Publications, New York (1995)
Scherer, M., Walter, M., Schreck, T.: Histograms of oriented gradients for 3d object retrieval. In: Proceedings of the WSCG 2010, Plzen, Czech Republic, pp. 41–48 (2010)
Schlachter, M., Reisert, M., Herz, C., Schluermann, F., Lassmann, S., Werner, M., Burkhardt, H., Ronneberger, O.: Harmonic filters for 3d multi-channel data: Rotation invariant detection of mitoses in colorectal cancer. IEEE Transactions on Medical Imaging 29(8), 1485–1495 (2010)
Skibbe, H., Reisert, M., Ronneberger, O., Burkhardt, H.: Spherical Bessel filter for 3D object detection. In: Proc. of the 8th ISBI, Chicago,Illinois, USA (April 2011)
Thomson, J.J.: On the structure of the atom: an investigation of the stability and periods of oscillation of a number of corpuscles arranged at equal intervals around the circumference of a circle; with application of the results to the theory of atomic structure. Philosophical Magazine Series 67(39), 237–265 (1904)
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Skibbe, H., Reisert, M., Burkhardt, H. (2011). SHOG - Spherical HOG Descriptors for Rotation Invariant 3D Object Detection. In: Mester, R., Felsberg, M. (eds) Pattern Recognition. DAGM 2011. Lecture Notes in Computer Science, vol 6835. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23123-0_15
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DOI: https://doi.org/10.1007/978-3-642-23123-0_15
Publisher Name: Springer, Berlin, Heidelberg
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