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An Introduction to Spline Modeling

A spline is defined as a special function involving polynomials in the mathematics realm. It can also be used to describe an alternative way to figure interpolation problems, and is an easier less governed function than polynomial interpolation. For those not familiar (or interested) in mathematics, the term spline may be more familiar as it pertains to computer science.

In this field, and subfields thereof, the term spline is frequently refers to as a parametric curve. The simplicity of their construction makes them a popular choice when designing digital models and their interactive curve design allows for easy manipulation. The word "spline" is adapted from the shipbuilding term that describes the flexible tools used by draftsmen and ship builders to easily draw accurate shapes. This simple concept has proven to be a reliable tool in the world of computer science.

Splines can be used in either one dimensional, or multi-dimensional applications, and are used in a wide variety of functions. They can be used to smooth dimension, or for the interpolation of these data dimensions. Smoothing splines aid with "cleaning up the rough edges" of 3D models, and are a vital part of quality designs.

The Evolution of 3d Modeling

3-D modeling has not always been high-tech software, and detailed mathematical equations. Today, when you hear the phrase "3-D modeling" you may think of teams of men in glasses with specialized degrees, sitting behind giant computer screens computing intricate shapes and designs. Though this is a pretty accurate description of big-name gaming and video company's design team, this is not how 3-D modeling began.

This useful form of representing larger objects to-scale on a much smaller scale began as a hobby, and started as a way to challenge the mind. Classic pieces include model airplanes, ships, buildings, and statues/famous land marks. The first 3-D modelers of course were not given a kit to work with, and had to calculate the sizes by hand with use of mathematical equations to bring the object to be modeled down to the desired size. Its use in the business world was soon discovered after the industrial revolution, and began as a representation of building structures, giving potential companies a physical means of presenting and altering ideas.

Today, 3-D modeling has been adapted to meet the needs of digital designers in the fields of movie making, video and PC gaming, and various other professions such as sign designers, and modern construction companies. All of these industries rely greatly on their teams of designers, and use computer programs and high tech machinery to carry out their ideas, and apply them to the work field. Though you can still find the die-hard manual 3D model enthusiast, 3-d modeling has come a far way from being just a favorite pass-time

Which Modeling Method is best?

Though there are many questions as to whether or not there is one way to create a 3D model as opposed to another, the answer lies within each person's applicable knowledge, preferred method of design, and preference to Computer Software. There are three main types of 3-D design that are used today, and are considered the most popular methods used by graphics design divisions in companies.

The first of these is referred to as "Polygonal modeling", this methods uses linearly connected vertexes to create polygonal mesh that form the object. The majority of 3D models today are created using this method, as it is quick, flexible, and easy for the computer to process data input. The only disadvantage of this form of 3-D modeling is that all objects are made of tiny flat surfaces; even the curved shapes are approximated using flat surfaces.

The second method of 3-D modeling is called "NURBS" modeling. This type of modeling uses spline curves to create the appearance of life-like objects, and is put in place with the use of weighted control points. The most popular program that uses this form of design is called "Maya" and is well known commercial software. The surfaces created by NURBS are truly smooth, and though it is slightly more difficult than other methods, it creates a perfect system for organic 3-D modeling.

Splines and Patches modeling is very similar to NURBS and is also dependant on curved lines to define shape. It is between NURBS and Polygonal in its ease of use, and utilizes modeling techniques that have similarities to both. All three of these 3-D modeling methods have their advantages and disadvantages, and are dependent on the designer and their use for specific projects.

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