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The Design and Use of Steerable Filters
 IEEE Transactions on Pattern Analysis and Machine Intelligence
, 1991
"... Oriented filters are useful in many early vision and image processing tasks. One often needs to apply the same filter, rotated to different angles under adaptive control, or wishes to calculate the filter response at various orientations. We present an efficient architecture to synthesize filters of ..."
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Cited by 843 (12 self)
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Oriented filters are useful in many early vision and image processing tasks. One often needs to apply the same filter, rotated to different angles under adaptive control, or wishes to calculate the filter response at various orientations. We present an efficient architecture to synthesize filters of arbitrary orientations from linear combinations of basis filters, allowing one to adaptively "steer" a filter to any orientation, and to determine analytically the filter output as a function of orientation.
Affine and Projective Differential Geometric Invariants of Space Curves
, 1993
"... A space curve, e.g. a parabolic line on a 2dimensional surface in 3dimensional Euclidean space, induces a plane curve under projective mapping. But 2dimensional scalar input images of such an object are, normally, spatiotemporal slices through a luminance field caused by the interaction of an ex ..."
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Cited by 3 (0 self)
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A space curve, e.g. a parabolic line on a 2dimensional surface in 3dimensional Euclidean space, induces a plane curve under projective mapping. But 2dimensional scalar input images of such an object are, normally, spatiotemporal slices through a luminance field caused by the interaction of an external field and that object. Consequently, the question arises how to obtain from those input images a consistent description of the space curve under projective transformations. By means of classical scale space theory, algebraic invariance theory and classical differential geometry a new method of shape description for space curves from one or multiple views is proposed in terms of complete and irreducible sets of affine and projective differential geometric invariants. The method is based on defining implicitly connections for the observed curves that are highly correlated to the projected space curves. These projected curves are assumed to reveal themselves as coherent structures in th...
Local and Multilocal Scale Space Description
, 1997
"... A new method is presented for solving equivalence problems for the extended jet of finite order of the scale space corresponding to a 2dimensional input image and the groups of spatially homogeneous affine and orthogonal transformations of local cartesian coordinate frames. By means of this method ..."
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A new method is presented for solving equivalence problems for the extended jet of finite order of the scale space corresponding to a 2dimensional input image and the groups of spatially homogeneous affine and orthogonal transformations of local cartesian coordinate frames. By means of this method complete and irreducible sets of algebraic invariants are found that may describe any local and (or) multilocal affine or orthogonal invariant of scale space. Consequently these sets may form bases for topological descriptions of scale space.