By Muhammad Sarfraz
Interactive curve modeling recommendations and their purposes are super invaluable in a few educational and commercial settings, and particularly play an important position in multidisciplinary challenge fixing, resembling in font layout, designing items, CAD/CAM, scientific operations, medical facts visualization, digital fact, personality acceptance, and item acceptance, and so forth. a variety of difficulties equivalent to iris, fingerprint, and signature acceptance, is also intelligently solved and automatic utilizing curve techniques.
This broad-ranging textbook covers curve modeling with options to genuine lifestyles difficulties when it comes to special effects, imaginative and prescient, photo processing, geometric modeling and CAD/CAM. Well-explained, easy-to-understand chapters take care of easy thoughts, curve layout innovations and their use to numerous functions, and quite a lot of issues of their computerized strategies through computers.
Features and subject matters:
• offers a category of useful recommendations to actual existence and multidisciplinary problems
• bargains scholars assisting pedagogical instruments within the kind of an intensive introductory bankruptcy, person bankruptcy introductions and finish summaries, in addition to end-of-chapter exercises
• offers either classical and up to date conception, with perform to get difficulties solved in assorted disciplines
• makes a speciality of interdisciplinary equipment and up to date methodologies within the field
• Imparts an outline and research of quite a few periods of splines to be used in CAGD (computer-aided geometric design), CAD (computer-aided design), CAE (computer-aided engineering), special effects, computing device imaginative and prescient, photograph processing and different disciplines
• goals to stimulate perspectives and supply a resource the place readers can locate the most recent cutting-edge advancements within the box, together with numerous suggestions, purposes, and structures worthy for fixing problems
Interactive Curve Modeling will also function a huge software for readers; as a very necessary textbook for senior undergraduates in addition to graduate scholars within the components of machine technological know-how, engineering, and different computational sciences. This accomplished textual content can both act as a useful source for these practitioners and researchers trying to find an advent to the cutting-edge at the topic.
Professor Sarfraz has decades of expertise learning and educating within the box, profitable an award for Excellence in examine on the King Fahd college of Petroleum and Minerals, Saudi Arabia.
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Extra info for Interactive curve modeling: with applications to computer graphics, vision and image processing
This is the marriage of Weighted splines and Nu splines which can be recovered as special cases discussed later in this chapter. The νi are termed point tension factors because they ‘tighten’ a parametric curve at the ith point in the same way that they do for the ν-splines in [11, 12]. The wi are termed interval weights because they ‘tighten’ the curve on the ith interval in the same way that they do for the weighted splines in . If νi = 0 and all ωi = q, where q is some constant value, then the weighted ν-spline equals the ν-spline in [11, 12] with tension factors νi /q.
Sarfraz, M. (2006), Computer-aided reverse engineering using simulated evolution on NURBS, International Journal of Virtual & Physical Prototyping, Taylor & Francis, New York, 1(4), 494–512. 109. , and Gotsman, C. (1995), Multiresolution control for nonuniform B-spline curve editing, in Pacific Graphics ’95. 110. H. (1994), Multiresolution curves, in Proceedings of SIGGRAPH, pp. 261–268, ACM, New York. References 19 111. , and Blanc, C. (1997), An Hermitian Approach for Multiresolution Splines, Technical Report No.
1. Each component of the parametric weighted ν-spline is a C 1 function in general, but it has second-order geometric continuity at ti if ωi−1 = ωi and the tangent vector at ti is non zero and it is C 2 at ti if ωi−1 = ωi and νi = 0. 1 is the parametric weighted ν-spline interpolant to the points denoted by circles using periodic end conditions. ” The rest of the parameters are taken as ωi = 1 and νi = 0. 3 Freeform Weighted Nu Spline This section is devoted to constructing the freeform weighted Nu spline which has inherent properties of B-spline curves.