Download Curvature Scale Space Representation: Theory, Applications, by F. Mokhtarian, M. Bober PDF
By F. Mokhtarian, M. Bober
MPEG-7 is the 1st overseas regular which incorporates a couple of key ideas from machine imaginative and prescient and picture Processing. The Curvature Scale area procedure used to be chosen as a contour form descriptor for MPEG-7 after significant and entire checking out, which established the very best functionality of the CSS-based descriptor.
Curvature Scale house illustration: concept, functions, and MPEG-7 Standardization is predicated on key guides at the CSS process, in addition to its a number of purposes and generalizations. The objective was once to make sure that the reader can have entry to the main primary effects in regards to the CSS approach in a single quantity. those effects were classified right into a variety of chapters to mirror their concentration in addition to content material. The e-book additionally contains a bankruptcy at the improvement of the CSS strategy inside MPEG standardization, together with info of the MPEG-7 checking out and assessment strategies which ended in the choice of the CSS form descriptor for a standard.
The publication can be utilized as a supplementary textbook via any collage or establishment providing classes in desktop and data technological know-how.
Read or Download Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization PDF
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Extra resources for Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization
Criterion: Uniqueness The uniqueness un iqueness criterion required that two curves with different shapes be mapped to different representations. This is necessary in order to be able to recognize two or more curves with the same shape by observing that their representations repr esent ations are the th e same. 6 shows that a planar curve can be reconstructed from any of its curvature scale space representations, and therefore, therefore, the curvature curvat ure scale space representations represent ations satisfy the th e uniqueness criterion criterion...
1. (j, ,' ,,' (c). 11. Experiments Experiments on th thee resampl resamplecl ed Cur Curvature vat ure Scale Space image Multi-Scale Multi-Scale Representations for Free-Form Planar Curves Curves 21 21 a transformation eonsisting consisting of arbitrary amounts of rotation, uniform sealing, and translation. 2 A closed plan ar eurve planar curve remains closed during its evolution are length evolution. 3 A connected planar eurve eonneeted during its curve remains connected are length evolution.
The Frenet equations for a planar curve are given by xn, Z~ I~~I 1~~I~n, ;: = = = 0"2/2 (72/2.. ,;n -- = " 8t at . n sinee It follows that since the Gaussian funetion function satisfies the heat equation. equat ion. Ito 2 (I ~~ IIt. :u~ t. ,;n) ) (xn) )) It . (~: n -I (I ~~ It. 2. ,;2. Let L denote the length of the eurve. curve. 2du L aL = 8L 8t at L 8t 8u du 1 8u du dw. w. ,;2(U,(U, tW W(w , t) = W(w, =- T) dU dT + w. 1) o 0 Note that W(w ,O) == w. W(w,O) Note furt her that for any given value to further to of t,t , W(w, W(w , to) to) is a monotoniehanging eally function of w.