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Frequently Asked Questions

How do I do the natural spline interpolation?

nsplines - Natural spline curve interpolation
Invoke the function ns_create() on your input data matrix. This function returns a matrix containing interval borders and polynomial coefficients.
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What's the advantage of natural spline curve interpolation over polynomial fitting?

nsplines - Natural spline curve interpolation
Polynomial fitting attempts to create one polynomial to represent the entire curve. The summary of the quadratic distances between the polynomial and the points is minimized. Depending on the polynomial's degree the distances between polynomial and given points differs, for higher degree polynomials you typically have to expect oscillations. Natural spline interpolation constructs a sequence of cubic splines, hitting all the specified points.
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How do you do linear interpolation?

DAK Engineering
The following is part of the larger program that handles everything; as the "meat" of the algorithm. By the way, if you're using servos and not steppers to drive your machine, than I guess very little of what follows applies to you! The current version is a bit more sophisticated, but this is the basic idea... CONST outvalueX: ARRAY[1..6] of integer = (5, 4, 6, 2, 3, 1); outvalueZ: ARRAY[1.
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How do you do circular interpolation?

DAK Engineering
Of all the cans of worms in motion control, this is one of the wormiest!!! Instead of taking the multiple straight line "almost looks like a circle, but isn't" approach, I wrote the following, which works to the resolution of whatever machine it's on. It functions in much the same manner as the linear interpolation algorithm above in that it involves sequencing an "imaginary" point through space along an arc, and "blips" the axes forward when they need to be to keep up with this point.
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Is it Natural?

The Marmite FAQ
Wholly natural. Brewer's yeast may be the best source of the vitamin-B complex, so Marmite is rich with natural vitamin-B, as well as riboflavin and niacin.
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How do you find spline counts on U-Joints?

Day Motor Sports
To find out how many splines there are on the U-Joint you need to replace, start by drawing a line straight up and down the surface of it. If there is a flat porting with no splines turn it to the right. Count only the splines to the left of the line and double that number. This will give you a correct spline count for the replacement.
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What makes the Artwrap™ Spline reinforced?

Masterpiece Artist Canvas :: About FAQ
Artwrap is the Stretching method securing a canvas with a spline cord, commonly used in screen door applications. However, because the canvas is under tension, the canvas can slip as the spline is simply not enough to secure the canvas and keep it tight over time. Consequently, Masterpiece reinforces not only the spline but the canvas to make sure that it stays tight.
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What is interpolation or interpolated image resolution?

Frequently Asked Questions of Digital Cameras & MP3s
Interpolation, also called resampling by those in the graphic arts and math fields, is a method used to increase or decrease the number of pixels in a digital image. Some digital cameras use interpolation to produce a sharper, clearer image than what was originally captured by the camera. Virtually all editing software uses some type of interpolation method to enhance your photographs.
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What is the difference between the interpolation algorithms?

MadTracker - FAQ
Interpolation is required when a sample is played at a different speed. It tries to guess the values between two sample points in order to give a better curve in between these points. None: Nothing is done to improve the quality of the sample. It will just take the nearest value. Aliasing occurs. Linear: A line is drawn between sample points. This is a basic approximation and recommended for playback use. Cubic: A curve is drawn between sample points (four points are used).
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How does a cubic spline in cad compare to a NURB spline in a 3d modeling program?

Blacksmithing and Metalworking Q&A : anvilfire Guru page...
T slots are cut in all kinds of machine tool tables, like milling machines, to fasten down the piece you are working on. You put a T nut in the T slot, a slotted piece of bar on top, a washer and a nut, and tighten it down. Many machine tools exert so much lateral force that several bolts are needed. And many objects just wont fit in a vise. Often these tables have been removed from really big obsolete machine tools like vertical boring mills.
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Can you explain the benefit of "Interpolation"?

CORS Faq's
The National Geodetic Survey (NGS) provides GPS observation data at certain sites with a 30 second sampling rate. This rate may too slow for some applications. When a non-default sampling rate is requested, NGS will use the 30-second data to generate a new RINEX-format file with interpolated GPS satellite observations at the user-selected rate. New code range (pseudorange), Doppler, carrier phase, and receiver clock offsets (if available) are interpolated.
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Is This 'Natural'?

Herbalife Frequently Asked Questions
This program is based entirely on nutrition and herbs. The program does not use drugs, medications, hormones or other synthetic agents to promote weight loss. All ingredients in the program must fulfill three important conditions: purity, potency and stability. This is how we maintain the high level of quality associated with the program's name.
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Is FluShoc All Natural?

Cold and Flu Shoc
FluShoc does not contain sugars, starches, yeast, artificial flavors, preservatives or artificial colors. It's sodium-free, contains no wheat or soy products, is free of dairy and meat or meat by-products and is vegetarian appropriate.
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What is Natural Care?

Tom's of Maine - Dental Professionals - About Our Products
Tom's of Maine, the idea of Natural Care guides what we make and all that we do. It means creating safe effective natural products free of dyes, sweeteners, and preservatives; harvesting, processing and packaging with respect for our natural resources; not testing on animals or using animal ingredients; donating 10% of our profits; and encouraging our employees to donate 5% of their paid time to charitable organizations.
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Is tanning natural?

Bronze Age Tanning&Salon | Olympia, WA | Frequently Aske...
Yes. Tanning is your body's natural protection against sunburn; it's what your body is designed to do. Anti-tanning lobbyists falsely refer to this process as "damage" to your skin, but calling a tan "damage" is a dangerous oversimplification. In fact, it's much like calling exercise "damage to your muscles." When you exercise, you are actually tearing tiny muscle fibers in your body. At first glance, when examined at the micro-level, this tearing could be called "damage.
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Is it always natural?

Virtual Labor FAQ
Yes! You are guaranteed to have a natural birth at virtual labor. You can not make a "mistake" in labor and end up medicated, so you can not do that in virtual labor either. You do not know if something will be effective until you try it, so there is no wrong turn. In labor there are some techniques that are usually very helpful at getting certain results, but they do not work every time.
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How is the cubic spline function added to my Excel workbook?

Customer Support -- FAQ
The cubic spline function is added to the Excel workbook as a VBA (visual basic for applications) code module. You can access the VBA modules by selecting the tools-->macro-->edit menu option. On the cubic_spline Excel spreadsheet that we have added an extra utility to automate the transfer of the cubic spline VBA code into any other open workbook.
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The spline ends are so large, what kind of bearings should I use?

It is up to you. The outside and inside diameter of the spline shape was determined so as to make use of as much existing tooling as possible in the industry. Bearings for this bottom bracket may take any number of forms, including custom cartridge bearings, needle bearings, bushings, or loose balls. The purpose of this standard is not to standardize one particular bottom bracket design, but rather to standardize the interface between the bottom bracket and crank.
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What is the best way to manufacture the spline shape in the crank?

Although at first it looks difficult to manufacture the spline shape in the crankarm, the quickest and easiest method is the same used for manufacturing the majority of tapered square cranks: a broaching operation followed by one or two coining operations. The broaching operation creates the straight-sided spline shape in the crank while the coining operation creates the 1? taper of the spline flute.
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How do you convert a spline to arcs in Mastercam X?

Mastercam Tips&Tricks
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What is interpolation and does it effect the quality of my photos?

Digital Camera Resource Page: Frequently Asked Questions
Interpolation is a fancy word for a computer "guessing". The only type of interpolation that anyone should be worried about is when an image is enlarged. Basically, when an image is enlarged, you end up with more pixels. But where did these pixels come from? Back in the old days, if you enlarged a 320x240 image to 640x480, the program would just double-up each pixel. Thus, the image looked blocky.
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What type of interpolation method is used to define the 3D functions in Leapfrog?

Leapfrog: Software - Frequently Asked Questions
Leapfrog version 1 uses the biharmonic radial basis function (RBF) interpolation method to construct a volume function from the input drillhole data. The mathematical nature of this method lends itself to fast interpolation of large datasets, but other forms of interpolation are nevertheless possible, including Kriging.
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Q5. Can I use bicubic interpolation to generate wallpaper?

Vidira, Inc. - FAQ
A5. Yes. Set wallpaper methods from the Tools menu feature Vidira enlargement, and while we don't recommend using bicubic interpolation for this purpose, you can do it. In the Resize dialog box (Image > Resize), check Keep Aspect Ratio, select Bicubic for enlargement method, enlarge the image so that it will cover the entire desktop, and save it (File > Save As).
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Q7. Why is Vidira enlargement slower than bicubic interpolation?

Vidira, Inc. - FAQ
A7. Bicubic interpolation, together with other filtering techniques, such as B-Spline and Lanczos, "blindly" interpolates between pixels regardless of the nature of the underlying image data. The Vidira method, on the other hand, examines local image structure and adjusts processing to preserve its characteristics in the enlarged image. Such an approach, while resulting in better quality enlargements, does require more computational resources than ordinary techniques.
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Which interpolation method should I use for downsampling, bilinear or bicubic?

Video CD Authoring FAQ
The coefficients for linear (triangle or tent) decimation are all positive, meaning that it is purely a blur. However, some of the bicubic coefficients are negative, so cubic resampling will give you a mild sharpening effect. As a general rule, I choose linear resampling to reduce noise, but use cubic resampling if I have a good source, because it produces sharper output. Note that VirtualDub's cubic kernel is not the same as a cubic spline, which still contains only positive coefficients.
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Where is ???Fast In??? and ???Easy Curve Out??? interpolation?

FAQ - Adobe Premiere Pro - a Wikia wiki
The Premiere Pro 1.5 Help tutorial still mentions these as context menu options, although they have been replaced.
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Can you provide us the pressure angle and other measurements of 1-8" internal spline?

Material Testing - Frequently Asked Questions, FAQ, TCR Engi...
We regret to inform you that we may not be able to provide you the service of measurement as requested by you. Please send samples through any courier like DHL / FEDEX etc. but please mention that these materials are "Samples for testing of no commercial value" and declare value for custom purpose at US $10. We would receive in 48 hours and shall test them immediately on receipt the same day. We will inform you of the results by email.
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Is incontinence a natural part of bearing children?

Bard Urological
Pregnancy and childbirth take a toll on a woman's body. The months of extra weight in the pelvis and the stretching and possible tearing of tissues during delivery have been known to damage structures that help support the bladder and maintain control of urine. Having babies may contribute to incontinence, but it doesn't mean you have to be incontinent. Today's treatments offer excellent success rates; and many women who started leaking after childbirth are dry today.
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