Nonlinear multiscale filtering using mathematical morphology

Aldo W. Morales; Raj S. Acharya

doi:10.1117/12.19607

1 July 1990 Nonlinear multiscale filtering using mathematical morphology

Aldo W. Morales, Raj S. Acharya

Proceedings Volume 1247, Nonlinear Image Processing; (1990) https://doi.org/10.1117/12.19607
Event: Electronic Imaging: Advanced Devices and Systems, 1990, Santa Clara, CA, United States

Abstract

Mathematical Morphology is a new branch of mathematics powerful enough to study some vision problems like multiscale filtering. Due to the fact morphological openings smooth the signal while preserving the edges, and using the three Matheron's axioms, an important result is obtained: morphological openings do not introduce additional zero-crossing as one moves to a coarser scales. With these results a multiscale filtering scheme is developed. The choice of the structuring element is constrained to the sub-space of convex, compact and homothetic ones. In this paper we will report a procedure for choosing the structuring element based on the pre-filtering effects of morphological openings and the subsequent detection of edges.

Citation Download Citation

Aldo W. Morales and Raj S. Acharya "Nonlinear multiscale filtering using mathematical morphology", Proc. SPIE 1247, Nonlinear Image Processing, (1 July 1990); https://doi.org/10.1117/12.19607

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