We survey the development of Clifford's geometric algebra and some of its engineering
applications during the last 15 years. Several recently developed applications and their …

This paper presents a novel approach towards two-dimensional (2D) image structures
modeling. To obtain more degrees of freedom, a 2D image signal is embedded into a certain …

摘要作为一种广泛应用于光学领域的调制器件, 空间光调制器具有较大的调制自由度,
能够产生较为复杂的波前, 因而需要较为精确的波前检测技术. 基于希尔伯特相衬成像 …

This work presents a novel rotational invariant quadrature filter approach-called the
conformal monogenic signal-for analyzing i (ntrinsic) 1D and i2D local features of any …

The conformal monogenic signal is a novel rotational invariant approach for analyzing i
(ntrinsic) 1D and i2D local features of two-dimensional signals (eg images) without the use …

This technical report covers a fundamental problem of 2D local phase based signal
processing: the isotropic generalization of the analytic signal (D. Gabor) for two dimensional …

Parity symmetry is an important local feature for qualitative signal analysis. It is strongly
related to the local phase of the signal. In image processing parity symmetry is a cue for the …

One-dimensional (1-D) causal signals admit Hilbert integral relations between the real and
imaginary parts of their Fourier spectra. For 1-D minimum-phase signals, the log-magnitude …

In one complex variable, given a function holomorphic in the unit disc or in the upper half-
plane the Hilbert formulas show the relation between the real components of its boundary …

The local analysis of signals arising on the sphere is a common task in earth sciences. On
the real line the analytic signal turned out to be an important representation in local one …