
	Where results make sense

Topic: Catmull Rom spline

	On-Line Geometric Modeling Notes
		The Catmull-Rom Spline is a local interpolating spline developed for computer graphics purposes.
		The matrix form will arise from a simple geometrical argument that attempts to fix the tangents at certain control points to be the average of the slopes of the two line segments of the control polygon adjacent to each control point.
		Catmull, E. and R. Rom, ``A Class of Local Interpolationg Splines,'' in Barnhill R.E. and R.F. Riesenfled (eds.), Computer Aided Geometric Design, Academic Press, New York, 1974.
	graphics.cs.ucdavis.edu /education/CAGDNotes/Catmull-Rom-Spline/Catmull-Rom-Spline.html (352 words)

	. . . Enjoy Life . . . (Site not responding. Last check: )
		Splines are a mathematical means of representing a curve, by specifying a series of points at intervals along the curve and defining a function that allows additional points within an interval to be calculated.
		One of the features of the Catmull-Rom spline is that the specified curve will pass through all of the control points - this is not true of all types of splines.
		While a spline segment is defined using four control points, a spline may have any number of additional control points.
	www.reticia.net /entry/Catmull-Rom-spline?TSSESSION=21cf5c9536f63d0b715c29a019d6fef8 (372 words)

	Edwin Catmull (Site not responding. Last check: )
		Dr. 'Edwin Catmull'\ (born 1946 in Utah) is a computer scientist who has contributed to many important developments in Computer graphics.
		At Pixar, Catmull was a key developer of the Renderman rendering system used in films such as Toy Story and Finding Nemo.
		In 1993, the Academy of Motion Picture Arts and Sciences presented Catmull with his first Academy Award "for the development of Renderman software which produces images used in motion pictures from 3D computer descriptions of shape and appearance." Again in 1996, he received an Oscar "for pioneering inventions in Digital Image Compositing".
	www.casimiro.com /wiki/en/wikipedia/e/ed/edwin_catmull.html (333 words)

	Introduction to Catmull-Rom Splines
		Splines are a mathematical means of representing a curve, by specifying a series of points at intervals along the curve and defining a function that allows additional points within an interval to be calculated.
		One of the features of the Catmull-Rom spline is that the specified curve will pass through all of the control points - this is not true of all types of splines.
		While a spline segment is defined using four control points, a spline may have any number of additional control points.
	www.mvps.org /directx/articles/catmull (511 words)

	Addix Software Consultancy - Spline library overview
		Interpolation using splines constructed with a factorisation method.
		Interpolation using splines that can be either interpolating or approximating.
		Access to all the other supported spline types is unrestricted during the evaluation period but is restricted to registered users once the evaluation period has expired.
	www.addix.com /products/spline/overview.html (172 words)

	Mesh Warping
		Bicubic spline interpolation is commonly used for warp generation.
		In this example Catmull-Rom spline interpolation is used to determine the correspondence of all pixels.
		Thus for a spline with control points 1 through N the minimum segment that can be formulated is P1 <-> P2 and the maximum segment id PN-3 <-> PN-2.
	www.doc.ic.ac.uk /~czt03/suprema/mesh1.html (0 words)

	Spline (Big Faceless Report Generator 1.1.37)
		Create a Spline Curve, or more accurately a sequence of spline curves which can be used to interpolate or approximate, or just plain "Smooth" a
		Return a new Spline curve of the specified type fitted to the array of X and Y values supplied.
		Note that unlike other spline libraries you may encounter, the value supplied is not the position along the length of the curve, but the position on the X axis.
	big.faceless.org /products/report/docs/api/org/faceless/graph/math/Spline.html (641 words)

	On-Line Geometric Modeling Notes
		The Catmull-Rom Spline is a local interpolating spline developed for computer graphics purposes.
		The matrix form will arise from a simple geometrical argument that attempts to fix the tangents at certain control points to be the average of the slopes of the two line segments of the control polygon adjacent to each control point.
		Catmull, E. and R. Rom, ``A Class of Local Interpolationg Splines,'' in Barnhill R.E. and R.F. Riesenfled (eds.), Computer Aided Geometric Design, Academic Press, New York, 1974.
	graphics.idav.ucdavis.edu /education/CAGDNotes/Catmull-Rom-Spline/Catmull-Rom-Spline.html (352 words)

	Addix Software Consultancy - Spline library overview
		Generates a basis spline open knot vector with multiplicity equal to the order at the end points.
		Calculates a basis spline curve using a uniform open knot vector.
		Calculates a basis spline vector given an array of uniformly spaced periodic knots.
	www.addix.com /products/spline/functionality.html (214 words)

	On-Line Geometric Modeling Notes
		The Catmull-Rom Spline is a local interpolating spline developed for computer graphics purposes.
		The matrix form will arise from a simple geometrical argument that attempts to fix the tangents at certain control points to be the average of the slopes of the two line segments of the control polygon adjacent to each control point.
		Catmull, E. and R. Rom, ``A Class of Local Interpolationg Splines,'' in Barnhill R.E. and R.F. Riesenfled (eds.), Computer Aided Geometric Design, Academic Press, New York, 1974.
	www.css.taylor.edu /~btoll/s03/424/res/r/ucdavis/CAGDNotes/Catmull-Rom-Spline/Catmull-Rom-Spline.html (0 words)

	User Macro Document - catmull_spline/catmull_spline_fld
		The spline is then output as a similar series of coordinates, a polyline mesh and a directly renderable DataObject.
		A spline curve is then generated that connects the nodes together in the order given.
		In this case the smoothness of a spline curve is defined as now closely it matches the original data.
	www.iavsc.org /repository/express/pages/catmull2/doc_umac.shtml (962 words)

	Module Document - CatmullRomSpline
		The spline is then output as a similar series of coordinates, the number of which is determined by the number of steps required.
		Reference to an array of floating point coordinates which are to be used as the nodes that the spline curve connects.
		The generated spline curve represented as a series of floating point coordinates along the spline.
	www.iavsc.org /repository/express/pages/catmull/doc_mod.shtml (434 words)

	Catmull Rom spline
		Start the Catmull Rom spline article or add a request for it.
		Look for "Catmull Rom spline" in Wiktionary, our sister dictionary project.
		Look for "Catmull Rom spline" in the Wikimedia Commons, our repository for free images, music, sound, and video.
	www.algebra.com /algebra/about/history/Catmull-Rom-spline.wikipedia (135 words)

	Edwin Catmull - Definition, explanation
		Edwin Catmull (born 1945 in West Virginia) is a computer scientist who has contributed to many important developments in computer graphics.
		Early in life, Catmull found inspiration in Disney movies such as Peter Pan and Pinocchio and dreamed of becoming a feature film animator.
		In 1993, the Academy of Motion Picture Arts and Sciences presented Catmull with his first Academy Award "for the development of Renderman software which produces images used in motion pictures from 3D computer descriptions of shape and appearance." Again in 1996, he received an Academy Award "for pioneering inventions in Digital Image Compositing".
	www.calsky.com /lexikon/en/txt/e/ed/edwin_catmull.php (393 words)

	Advanced Digital Cinematography by Yootai Kim (Site not responding. Last check: )
		In the case of Bezier and Hermite spline bases, the number of spline knots must be 4n+3 and 4n+2, respectively.
		In the case of linear spline basis, the first and last knot are unused, but are nonetheless required to maintain consistency with the cubic bases.
		For all spline types, an array of values may be used instead of a list of values to specify the control points of a spline.
	accad.osu.edu /~ykim/ADC/reference.html (403 words)

	Catmull-Rom Splines
		I use the spline but it did not go throught these given points.
		To do more than two points just step through the array of points using the previous point, the current point and the next two points as the four points for the spline.
		A fast method for display of this class of splines is given in a SIGGRAPH 89 Paper,
	steve.hollasch.net /cgindex/curves/catmull-rom.html (308 words)

	Rendering Jellyfish - CS348B Spring 2004 Final Project
		A second spline curve is used to govern the displacement of the surface to create frills in the bell.
		The backbone spline of the generalized cylinder is given by a Catmull-Rom spline whose control points are determined by the locations of particles in a mass-spring simulation discussed in part 2.
		The control points of the small and large tentacle backbone splines are animated via a simple damped mass-spring particle system (we simulate a rope with stretch and bend springs, attached at one end to a point on the surface of the bell).
	graphics.stanford.edu /~kayvonf/cs348b/jellies (1442 words)

	Catmull - Dicy.com
		Catmull publication by checking the articles you wish to read and then...
		Catmulls been the president of Pixar in all but name since he founded...
		Catmulls stated goal from day one has been to make movies.
	www.dicy.com /search.cfm?st=catmull (143 words)

	Catmull-Rom Interpolation - Ausdruck (Site not responding. Last check: )
		Bei Spline Interpolation wird eine Kurve generiert, auf der oder in deren Umgebung sich die Zielpunkte der Interpolation befinden.
		Spline Interpolation eignet sich gut dafür eine dynamische Kamerafahrt mit nur wenigen Kontrollpunkten zu generieren, da diese alle auf einer kontinuierlichen Kurve angelaufen werden.
		Eine Catmull-Rom Kurve stellt eine Möglichkeit dar ein Spline zwischen diesen Punkten zu generieren.
	www.imn.htwk-leipzig.de /~mgloss03/index.php?print=grafikprogrammierung/catmulrominterpolation.inc (395 words)

	Dr HS Fortuna Playstation 2 Linux Games Programming
		A Catmull Rom Spline is used to define the motion of the AI car.
		Control points are positioned on the track and a Catmul Rom Spline is used to interpolate between the control points and defined the position of the car each frame.
		One of the features of the Catmull Rom spline is that the specified curve will pass through all of the control points.
	www.hsfortuna.pwp.blueyonder.co.uk /aicar/aicar.htm (590 words)

	Module Document - CatmullSplineCore/CatmullSplineFldCore
		The spline is then output as a similar series of coordinates.
		Defines which type of spline should be used to smooth the input line.
		The number of coordinates generated is determined by the points_added parameter and whether or not the spline is closed.
	www.iavsc.org /repository/express/pages/catmull2/doc_mod.shtml (931 words)

	OGRE: Ogre::SimpleSpline Class Reference - OGRE Documentation
		You define a series of points, and the spline forms a smoother line between the points to eliminate the sharp angles.
		Catmull-Rom splines are a specialisation of the general Hermite spline.
		With a Hermite spline, you define the start and end point of the line, and 2 tangents, one at the start of the line and one at the end.
	ogre.sourceforge.net /docs/api/html/classOgre_1_1SimpleSpline.html (431 words)

	Method and apparatus for dynamic purity correction - Patent 5510851
		The method according to claim 1, wherein the step of interpolating each row of N control points and multiplying each row of correction values by the luminescence values of the incoming signal is performed while the corresponding row of luminescence values of the incoming signal is being raster scanned.
		5 is a diagram of the Spline Interpolator 230 of FIG.
		Furthermore, the slope of the spline as it passes through a control point is equal to the slope formed by drawing a line through the control points on either side of the control point being interpolated.
	www.freepatentsonline.com /5510851.html (4810 words)

	Dr. Dobb's \| Implementing Uniform Trigonometric Spline Curves \| July 22, 2001
		These splines are called "uniform," because a single set of basis functions is used for all curve segments.
		Splines are traditionally based on cubic functions because they are simple and easy to control, yet they provide the inflection point needed for changing the curve's direction and curvature.
		Uniform cubic splines are expressed as a set of parametric equations for each segment of the spline.
	www.ddj.com /184410198 (1527 words)

	Addix Software Consultancy - Spline library references
		Catmull, E. and Rom, R., (1974), "A Class of Local Interpolating Splines", in Barnhill R.E. and Riesenfled (eds), Computer Aided Geometric Design, Academic Press, New York, 1974.
		Renka, R.J., (1987), "Interpolatory tension splines with automatic selection of tension factors", SIAM Journal of Scientific and Statistical Computing, Volume 8, p.
		Schweikert, D.G., (1966), "An interpolation curve using a spline in tension", Journal of Mathematics and Physics, 45, 312-313.
	www.addix.com /products/spline/references.html (257 words)

	__Singularity__[AS 3 Parametric Curve Library]
		CatmullRom - Catmull-Rom spline with uniform or arc-length parameterization
		CRClosed2 - Closed-loop Catmull-Rom Spline used to approximate a figure-8 or infinity shape
		PV3DFigure8 - Closed-loop Catmull-Rom spline used to animate figure-8's in XY, XZ, and YZ planes, simultaneously.
	www.algorithmist.net /as3pc.html (634 words)

	[No title]
		It constantly analizes layer where it was activated and as soon as requirements are meet, virtual spline patches are displayed.
		Unlike traditional spline modeling where you decide what will be polygon flow in triangle spline patches by order in which splines are selected EasySpline has special tool for doing it permanently that works regardless how many times real-time previewer is switched on/off, or true geometry is generated and deleted.
		Select All Spline Points is the only tool that works in Point, Edge and Polygon modes, the all others are only working in Point mode and need directly selected at least one point.
	www.trueart.eu /?URI=Products/Plug-Ins/EasySpline (0 words)

	Interpolating Cardinal and Catmull-Rom splines (Site not responding. Last check: )
		Interpolating piecewise Cardinal spline is composed of cubic Bezier splines joined with C
		Remember, that a cubic Bezier spline is determined by 4 vectors (e.g.
		Drag the mouse to move the nearest control point (a small blue square).
	www.ibiblio.org /e-notes/Splines/Cardinal.htm (186 words)

	Spline Macro File Tutorial (Site not responding. Last check: )
		Notice also that the colour of the previewed spline changes from red at the first point to white at the last: this lets us know which direction the spline is travelling in.
		These handles set the curvature of the spline, and can be adjusted for sharp corners, tight or loose curves, etc. To create bezier splines with the Spline Macro File, you specify a list of points where every third point is actually interpolated (ie.
		Bezier splines have the advantage over TCB splines of allowing you to set the curvature of the spline directly for each section, so you can create some sharp corners and some smooth, and generally have more control over the spline's shape.
	www.geocities.com /ccolefax/spline (1676 words)

	EuroVis05 Bspline filter
		Based on the finding that refraction imposes significantly higher demands onto gradient filters than illumination and shading, we evaluate the family of spline filters as a good alternative to the cubic filters, which so far have served as the gold standard of efficient yet high-quality interpolation filters in present visualization applications.
		The Catmull-Rom spline, a member of the family of cubic convolution filters, is the unofficial standard for high-quality rendering in visualization.
		However, Catmull-Rom spline filters are insufficient for high-quality rendering of refractive effects since here the error is multiplied by the length of the redirected ray before it hits an opaque surface.
	www.cs.sunysb.edu /%7Elshengyi/papers/filter/filter.htm (459 words)

	AutoDevSurf
		The Beta spline is an approximating spline, like the B-spline meaning that the input data points are used as weights (and also generate a convex hull environment) meaning that the data points are used as weighting points and the curve never passes through them.
		The beta spline does pose to be a useful design tool and if the tension is increased to a high number the Beta spline will degenerate to line segments and thereby passing through the data points, i.e.
		Utilizing the Tension Catmull-Rom Spline, Beta Spline and NURBS enables the user to be able to further modify his developable surfaces.These splines utilize parametric mathematics and are 3rd degree (cubic) polynomials that have been proven to be useful for many applications.
	www.interchg.ubc.ca /konesky/autodevs.htm (779 words)

Try your search on: Qwika (all wikis)