Title :
Evolution equations for continuous-scale morphology
Author :
Brockett, Roger W. ; Maragos, Petros
Author_Institution :
Div. of Appl. Sci., Harvard Univ., Cambridge, MA, USA
Abstract :
Several nonlinear partial differential equations that model the scale evolution associated with continuous-space multiscale morphological erosions, dilations, openings, and closings are discussed. These systems relate the infinitesimal evolution of the multiscale signal ensemble in scale space to a nonlinear operator acting on the space of signals. The type of this nonlinear operator is determined by the shape and dimensionality of the structuring element used by the morphological operators, generally taking the form of nonlinear algebraic functions of certain differential operators
Keywords :
image processing; mathematical morphology; nonlinear differential equations; closings; continuous-scale morphology; differential operators; dilations; evolution equations; morphological operators; multiscale morphological erosions; multiscale signal ensemble; nonlinear algebraic functions; nonlinear operator; nonlinear partial differential equations; openings; scale evolution; scale space; structuring element; Computer vision; Evolution (biology); Image edge detection; Image motion analysis; Morphology; Nonlinear filters; Partial differential equations; Shape; Signal analysis; Smoothing methods;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-0532-9
DOI :
10.1109/ICASSP.1992.226260
