The definition of the homotopic
thinning itself already provides an algorithm to compute the ultimate homotopic
m]), x) is defined to be a group generated by all homotopic
classes of closed d-pathes based at x.
If L is trim and nuclear, then its order complex is homotopic
to a sphere, whose dimension is 2 less than the number of atoms of L.
The dynamical 3-space is different: here we have only a dynamical 3-space, which at a small scale is a quantum foam system without dimensions and described by fractal or nested homotopic
Different classes of methods allow computation of skeletons: "prairie fire" models (Blum, 1967), homotopic
thinning (Lam et al.
Some specific topics explored include procedural glyphs for audio files, a Euclidean homotopic
skeleton based on critical kernels, and detection of unusual motion using computer vision.
From the Quillen's fiber lemma we know that the function [phi] has a homotopic
inverse, say [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Indeed, it is evident that in many cases, when resolution decreases, the resulting downsampled image cannot be homotopic
to the original image.
to a constant map which sends [DELTA] ([f.