Download Bezier & Splines in Image Processing & Machine Vision by Sambhunath Biswas PDF

Graphics Multimedia

By Sambhunath Biswas

ISBN-10: 1402045786

ISBN-13: 9781402045783

This booklet offers with a number of snapshot processing and computer imaginative and prescient difficulties successfully with splines and comprises: the importance of Bernstein Polynomial in splines, particular assurance of Beta-splines purposes that are rather new, Splines in movement monitoring, numerous deformative types and their makes use of. ultimately the e-book covers wavelet splines that are effective and powerful in several picture applications.

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Additional info for Bezier & Splines in Image Processing & Machine Vision

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The sequential order of the Gaussian image points Pi is the same as that of the points Pi of the curve—we get regular points. • The sequential order of Pi s reverses, whereas that of Pi s remains the same—we get point of inflection. , the direction of the tangents at these points reverses, whereas that of motion of Pi s remains the same—we get cusp of the first kind. • The order of Pi s as well as that of Pi s gets reversed—we get cusp of the second kind. 10 shows all these four classifications.

Possible behavior of fa (x) when f (x) is constant. (a) Considering local maxima/minima of fa (x); (b) considering global maximum/minimum of fa (x), • denotes the position of key pixel. Proof : When the key pixels are on the horizontal line at x = c, it follows from the definition of key pixel that either f (c) > f (x) or f (c) < f (x) in both the intervals [(k1 −δ1 ), K1 ] and [K2 , (k2 +δ2 )], where f (x) is constant in [K1 , K2 ] and δ1 , δ2 ∈ {0, 1}. 5 Key Pixels and Contour Approximation 19 Fig.

10. Classification of different G-images:(a) regular point; (b) inflection point; (c) cusp of first kind; (d) cusp of second kind. 6 Regeneration Technique Below we depict two different methods of regeneration of a contour from its approximate information. These regenerations of arcs and line segments are simple and straightforward, and are helpful in data reduction. 7) of the characteristic triangle for the regeneration of an arc when the starting point A is known beforehand. D is the point of intersection of the horizontal line through A, and the line through E and parallel to AC.

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