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Topic: Nurbs

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	NURBS - VRML Extensions - Cortona VRML Client - Products - Developer Zone - ParallelGraphics
		For example, NURBS geometry makes it possible to treat the hood of an automobile or the wing of an airplane as a single surface and create more realistic shapes of human bodies.
		With NURBS it is easier to create virtual worlds in VRML with smooth surfaces and reduced download size of VRML files because of the compact NURBS description at once.
		This description corresponds to NURBS Extension for VRML97 Discussion & Node proposal 12 March, 1999 by Blaxxun interactive except the fields distance, quality, uTessellation, vTessellation, and texCoord.
	www.parallelgraphics.com /developer/products/cortona/extensions/nurbs (906 words)

	Rhinoceros - What is NURBS?
		NURBS, Non-Uniform Rational B-Splines, are mathematical representations of 3-D geometry that can accurately describe any shape from a simple 2-D line, circle, arc, or curve to the most complex 3-D organic free-form surface or solid.
		Because of their flexibility and accuracy, NURBS models can be used in any process from illustration and animation to manufacturing.
		NURBS lines and polylines are usually degree 1, NURBS circles are degree 2, and most free-form curves are degree 3 or 5.
	www.rhino3d.com /nurbs.htm (1215 words)

	NURBS
		NURBS are industry standard tools for the representation and design of geometry [ROGERS].
		For NURBS, the relative parametric intervals (knot spans) need not be the same for all shape segments, i.e.
		Non-periodic B-splines, like NURBS, are infinitely continuously differentiable in the interior of a knot span and k-M-1 times continuously differentiable at a knot, where M is the multiplicity of the knot [ROGERS].
	web.cs.wpi.edu /~matt/courses/cs563/talks/nurbs.html (1074 words)

	NURBS
		The NURBS evaluation rule, discussed later, can be implemented on a computer in a way that is both efficient and accurate.
		NURBS can be used to represent both curves and surfaces, they behave in a similar way and share much of the same terminology.
		The NU in NURBS stands for non-uniform and indicates that the knots in a NURBS curve are permitted to be non-uniform.
	dspace.dial.pipex.com /town/plaza/xln96/nurbs.htm (1052 words)

	Extensible 3D (X3D), ISO/IEC 19775-1:2004, Part 1 -- 27 NURBS Component
		The characteristics of a NURBS surfaces and curves are defined according to the mathematical definitions for Non-Uniform Rational B-Spline geometry.
		However, the implementation shall render the NURBS such that the approximation produces a rendered image in which the edges of the tessellation can not be perceived.
		The NurbsTextureCoordinate node is a NURBS surface existing in the parametric domain of its surface host specifying the mapping of the texture onto the surface.
	www.web3d.org /x3d/specifications/ISO-IEC-19775-FDIS-X3dAbstractSpecification/Part01/components/nurbs.html (3254 words)

	NURBS Toolbox
		NURBS have to some extent become the de facto industry standard for representing complex geometric information in CAD, CAE and CAM, and are an integral part of many standard data exchange formats such as IGES, STEP and PHIGS.
		The data structure used to represent the NURBS in Matlab is compatible with that used in the Spline Toolbox by C.
		Bastiaan's Matlab NURBS Surface Toolbox for the calculation and plotting of all kinds of non-uniform rational B-spline basis (or blending) functions, curves and surfaces, including special cases such as Bezier and periodic curves / surfaces.
	www.aria.uklinux.net /nurbs.php3 (568 words)

	NURBS - Definition of NURBS
		Development of NURBS (actually the Bézier curve) began in the 1950s by engineers who were in need of a mathematically exact representation of freeform surfaces like those used for car bodies and ship hulls, which could be exactly reproduced whenever technically needed.
		NURBS curves and surfaces are generalizations of both B-splines and Bézier curves and surfaces, the primary difference being the weighting of the control points which makes NURBS curves rational (non-rational B-splines are a special case of rational B-splines).
		More recent versions of NURBS software (e.g., Alias Maya and Rhinoceros 3D) allow for interactive editing of knot positions, but this is significantly less intuitive than the editing of control points.
	www.highend3d.com /dictionary/N/NURBS (1689 words)

	3D Animation Workshop: Lesson 64: Introducing MAX NURBS- webreference.com
		NURBS arrived in MAX last year in the 2.0 version of the program, but in mine (and, I think, most people’s) view, the tools did not function well enough to be taken seriously.
		NURBS modeling is extremely challenging to learn at anything above the trivial level, and there are a number of reasons for this.
		NURBS were the center of MAX’s efforts to beef up its organic modeling tools, but MAX 3 is implementing such greatly improved polygonal modeling tools that many people may never get around to NURBS.
	www.webreference.com /3d/lesson64 (674 words)

	Re: NURBs Boolean or trim tool? -- Andre De Angelis -- 2001/01/30
		Judging by the robustness of the nurbs tools in there already, I think it's a safe bet that the trims and projected curve tools will be a lot more useable than in 3.x - after all, that was the main reason for switching from their previous vurbs library to Imageware's.
		I'm glad to hear that the nurbs trim tools will be featured in upcoming releases of XSI, but please Soft make sure they work well this time around.
		It would also be great if when extracting the trim curve, you don't have to have the nurbs curve set-up set so that a million and one points are needed on the extracted curve to maintain accuracy.
	www.softimage.com /community/xsi/discuss/archives/xsi.archive.0101/msg00982.htm (546 words)

	Rhino Nurbs Modeling
		The first of our DIY projects to be modeled in Rhino was the G8-2 Jet Engine, and the second was the Ground Hugger XR2 recumbent bicycle.
		Rhino combines the accuracy of traditional CAD with the flexibility of spline-based modeling technology, to create objects that are smooth NURBS curves and surfaces rather than line segments or polygon meshes.
		Rhino uses trimmed free-form NURBS surfaces to accurately represent curved shapes, including curved shapes with holes in them.
	www.rqriley.com /rhino.htm (1105 words)

	Caligari \| Help \| Tutorials \| NURBS Tutorial by Norm Fortier
		NURBS in trueSpace5 is a very impressive addition to our favorite program.
		As we progress through the various other settings which are available in the NURBS sphere options panel, you will begin to see the power you have to create spheres of many different shapes and sizes.
		The six settings covered so far from the NURBS sphere options panel are perhaps the most important for you to become familiar with.
	www.caligari.com /Help/Tutorials/Norm_Fortier/nurbs_intro1.asp?Cate=HTutorials (932 words)

	Feature - Understanding NURBS Interpolation
		Nurbs (Let's dispense with the capital letters from here on) are mathematical entities that allow a complex contour to be defined using only a handful of numbers.
		Early in the development of nurbs interpolation, he watched as a chord program and a nurbs program, both based on the same geometry, were run by the same high speed control.
		The CAD model may be represented by nurbs, the CNC may read tool paths in terms of nurbs, but when the CNC communicates movement commands to the processor controlling a given axis, it does this by specifying a target point.
	www.mmsonline.com /articles/079901.html (2401 words)

	develop June 96 - According to Script: Attaching and Embedding Scripts
		NURB curves are flexible and powerful, but using them effectively requires some understanding of the underlying mathematical theory.
		The NURB model allows you to define curves with no kinks or sudden changes of direction (such as an airplane-wing cross section) or with precise control over where kinks and bends occur (sharp corners of machined objects, for instance).
		One of the key characteristics of NURB curves is that their shape is determined by (among other things) the positions of a set of points called control points, like the ones labeled Bi in Figure 5.
	devworld.apple.com /dev/techsupport/develop/issue25/schneider.html (8331 words)

	NURBS Interpolation - Product Information (Site not responding. Last check: )
		With the GE Fanuc NURBS Interpolation Function, the CAM process passes the original CAD "Control Points", "Weights", and "Knots" required to define the NURBS curve directly to the control in the "G Code" format.
		In the past, NURBS data has been sent from the CAD system to a CAM process which would post-process the CAD NURBS data into small linear segments and create a "G-Code" Linear Interpolation Part Program for the CNC.
		Representing the NURBS curve with small linear segments in the CAM processor led to decreased accuracy.
	www.geindustrial.com /cwc/products?pnlid=2&id=nurbs (1109 words)

	Nurbs - NewTek Discussions
		Nurbs are nice if you have a modeler that will work correctly.
		Nurbs can be activated when ever you click on it for editing.
		I think one reason had to do with nurbs being one side objects like in LW and the polys were double sided.
	www.newtek.com /forums/showthread.php?p=213354&mode=linear (625 words)

	NURBS - WikiWikiWeb.de
		NURBS ist die Abkürzung für Non Uniform Rational B-Splines, eine mathematische komplexe Methode, Kurven und Oberflächen zu beschreiben.
		Der Vorteil von Nurbs-Oberflächen gegenüber Polygonen ist, dass sie von Anfang an rund sind, mit NURBS lassen sich leicht organische Objekte und Lebewesen gestalten, aber auch runde Industrieobjekte.
		Nurbs werden von der Software bei der Darstellung und beim Rendering durch Polygone angenähert.
	wikiwikiweb.de /NURBS (200 words)

	Sep 27 - nPower Releases Power NURBS 1.0 (Site not responding. Last check: )
		Power NURBS is like combing a high-end Surface Modeler and a high-end Solids Modeler with the superior animation and rendering of Autodesk® 3ds max®.
		Power NURBS is a hybrid modeling system - based on IntegrityWare’s SOLIDS ++ Kernel - that brings the highest orders of surfacing, solids modeling, analysis, and tessellation technologies to users of the widely popular Autodesk® 3ds max® and Viz™ 3d visualization solutions.
		Power NURBS also enables designers from all markets to create solid objects that can be quickly turned into physical objects using modern prototyping techniques; now every artist can afford to bring their own creations to life using one complete design toolset.
	www.tenlinks.com /news/PR/npower/092705_nurbs1.htm (508 words)

	NURBS Modeling 1/24/03
		Move the curve so that it is sitting in front of the sphere in the side view.
		One way to add more divisions to a NURBS surface and to have more CVs to model with is to insert isoparms.
		At some point in modeling, it may become necessary to rebuild a surface because you either have too many isoparms or the surface is getting out of control or you just want to make the model a little lighter.
	www.jawa9000.com /technical/workshop/edit-nurbs.htm (1088 words)

	Blender.org :: View topic - What happened to the NURBANA implementation?
		Yes, we all now NURBS tools in Blender are nothing more than a toy.
		It was a distraction, in the late 90s to use NURBS, and many were trying to model stuff like Pixar, when pixar was using subdivision surfaces..
		NURBS really only serve as a precise surface type that is easy to model, but useful only as a modelling tool than as the end result..
	www.blender.org /forum/viewtopic.php?p=37661 (695 words)

	[No title]
		DESCRIPTION fgluNurbsCallback is used to define a callback to be used by a NURBS object.
		In the case of a NURBS curve, the callback function is effective only when the user provides a normal map (GL_MAP1_NORMAL).
		In the case of a NURBS surface, if a normal map (GL_MAP2_NORMAL) is provided, then the generated normal is computed from the normal map.
	www.opengl.org /documentation/specs/man_pages/hardcopy/GL/html/glu_ftn/fglunurbscallback.html (916 words)

	RE: XSI only supports quadratic nurbs? -- Michael Arias -- 2003/11/15
		My judgement that the curves are of order 3 (degree two) was based on the fact that when you use the 'draw cvs' curve tool, the curve appears after 3 control points.
		From my understanding of nurbs if the curve is of degree 3, then you need at least 4 control points to have the curve show.
		I've recently made a small program that drew nurbs curves and I'll add simple calculating of nurbs surfaces.
	www.softimage.com /community/xsi/discuss/archives/xsi.archive.0311/msg00688.htm (382 words)

	NURBS++
		The NURBS++ package includes a matrix library, an image manipulation library, a numerical library and a NURBS library.
		They can all be used on their own but they are all developped to support my NURBS needs.
		nurbs++ project (it is under the libnurbs directory for obvious reasons).
	libnurbs.sourceforge.net (286 words)

	form•Z Forum: nurbs questions
		Secondly, is there a way to unfold a nurbs surface without getting a bunch of triangles spread all over.
		Although, it trims nurbs, it still has the triangulated "look", and won't unfold as one surface.
		When controls are dropped on a nurbs surface, it reverts to a mesh that looks exactly like the grey "facetted" representation in nurbs form.
	www.formz.com /forum2/discus/board-auth.cgi?file=/16/1706.html (1583 words)

	Rhinoceros - Features
		Rhino can create, edit, analyze, document, render, animate, and translate NURBS* curves, surfaces, and solids and polygon meshes.
		Create curves from other objects: through points, through polyline, extend, fillet, chamfer, offset, blend, from 2 views, cross section profiles, intersection, contour on NURBS surface or mesh, section on NURBS surface or mesh, border, silhouette, extract isoparm, projection, pullback, sketch, wireframe, detach trim, 2-D drawings with dimensions and text, flatten developable surfaces, extract points.
		Create meshes: from NURBS surfaces, from closed polyline, mesh face, plane, box, cylinder, cone, and sphere.
	www.rhino3d.com /features.htm (755 words)

	NURBS links (Site not responding. Last check: )
		The Manchester NURBS library one of the first NURBS library on the web.
		It offers a lot of NURBS manipulator and also has code for the approximation of scattered data points with Multilevel B-Spline Approximation.
		I'm also trying to create contacts between the different authors of NURBS related libraries, as long as they don't mind the terms of the LGPL.
	libnurbs.sourceforge.net /links.shtml (234 words)

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