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Solid Modeling Solutions
Solid Modeling Solutions is a company who has an implementation of a mathematical representation of many NURBS (Non-uniform rational B-spline), 3D geometry, and Solid modeling technology which emerged in the 1980s and 1990s into a commercial implementation known as SMLib (for solid modeling library). This article will provide the background and history of this implementation into a commercial product line from Solid Modeling Solutions (SMS). SMS is an independent supplier of source code for a powerful suite of 3D geometry kernels. SMS provides advanced NURBS-based geometry libraries, SMLib, TSNLib, GSNLib, NLib, SDLib, VSLib, and PolyMLib, that encompass extensive definition and manipulation of NURBS curves and surfaces with the latest fully functional non-manifold topology. VSLib provides deformable modeling as part of a library using the constrained optimization techniques of the calculus of variations. The library supports several very different geometric operations. PolyMLib i ...
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Non-uniform Rational B-spline
Non-uniform rational basis spline (NURBS) is a mathematical model using basis splines (B-splines) that is commonly used in computer graphics for representing curves and surfaces. It offers great flexibility and precision for handling both analytic (defined by common mathematical formulae) and modeled shapes. It is a type of curve modeling, as opposed to polygonal modeling or digital sculpting. NURBS curves are commonly used in computer-aided design (CAD), manufacturing (CAM), and engineering (CAE). They are part of numerous industry-wide standards, such as IGES, STEP, ACIS, and PHIGS. Tools for creating and editing NURBS surfaces are found in various 3D graphics and animation software packages. They can be efficiently handled by computer programs yet allow for easy human interaction. NURBS surfaces are functions of two parameters mapping to a surface in three-dimensional space. The shape of the surface is determined by control points. In a compact form, NURBS surfaces can rep ...
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Solid Modeling
Solid modeling (or solid modelling) is a consistent set of principles for mathematical and computer modeling of three-dimensional shapes '' (solids)''. Solid modeling is distinguished from related areas of geometric modeling and computer graphics, such as ''3D modeling'', by its emphasis on physical fidelity. Together, the principles of geometric and solid modeling form the foundation of 3D-computer-aided design and in general support the creation, exchange, visualization, animation, interrogation, and annotation of digital models of physical objects. Overview The use of solid modeling techniques allows for the automation process of several difficult engineering calculations that are carried out as a part of the design process. Simulation, planning, and verification of processes such as machining and assembly were one of the main catalysts for the development of solid modeling. More recently, the range of supported manufacturing applications has been greatly expanded to incl ...
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Boeing
The Boeing Company () is an American multinational corporation that designs, manufactures, and sells airplanes, rotorcraft, rockets, satellites, telecommunications equipment, and missiles worldwide. The company also provides leasing and product support services. Boeing is among the largest global aerospace manufacturers; it is the third-largest defense contractor in the world based on 2020 revenue, and is the largest exporter in the United States by dollar value. Boeing stock is included in the Dow Jones Industrial Average. Boeing is incorporated in Delaware. Boeing was founded by William Boeing in Seattle, Washington, on July 15, 1916. The present corporation is the result of the merger of Boeing with McDonnell Douglas on August 1, 1997. Then chairman and CEO of Boeing, Philip M. Condit, assumed those roles in the combined company, while Harry Stonecipher, former CEO of McDonnell Douglas, became president and COO. The Boeing Company's corporate headquarters is in Chicago, Illi ...
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SDRC
SDRC (''Structural Dynamics Research Corporation'') is a leading company specializing in MCAE (Mechanical Computer Aided Engineering) and PLM (Product Lifecycle Management) software. History SDRC was formed by engineers, led by then associate professor Dr. Jason R. Lemon, from the University of Cincinnati in 1967, as a consulting company specializing in structural dynamics, or how mechanical parts vibrate. US Steel was a primary customer and early investor, until selling their shares to General Electric in the early 80's. To aid in its consulting, the company wrote software to simulate and predict vibration. Companies began asking for rights to use this software, and thus SDRC entered the software market. In the 70s, SDRC became known as a Finite Element and Modelling company, and during the 80s and 90s became one of the leading companies in solid modeling and analysis. SDRC (Lemon) is well known globally as one of the first to coin the term "MCAE" (Mechanical Computer Aided ...
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Algorithm
In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can perform automated deductions (referred to as automated reasoning) and use mathematical and logical tests to divert the code execution through various routes (referred to as automated decision-making). Using human characteristics as descriptors of machines in metaphorical ways was already practiced by Alan Turing with terms such as "memory", "search" and "stimulus". In contrast, a Heuristic (computer science), heuristic is an approach to problem solving that may not be fully specified or may not guarantee correct or optimal results, especially in problem domains where there is no well-defined correct or optimal result. As an effective method, an algorithm ca ...
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IGES
The Initial Graphics Exchange Specification (IGES) is a vendor-neutral file format that allows the digital exchange of information among computer-aided design (CAD) systems. It's an ASCII-based textual format. The official title of IGES is ''Digital Representation for Communication of Product Definition Data'', first published in March, 1980 by the U.S. National Bureau of Standards as NBSIR 80-1978. Many documents (like early versions of the Defense Standards MIL-PRF-28000 and MIL-STD-1840) referred to it as ASME Y14.26M, the designation of the ANSI committee that approved IGES Version 1.0. Using IGES, a CAD user can exchange product data models in the form of circuit diagrams, wireframe, freeform surface or solid modeling representations. Applications supported by IGES include traditional engineering drawings, models for analysis, and other manufacturing functions. History IGES was an initiative of the United States Air Force (USAF) Integrated Computer Aided Manufacturing (IC ...
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Alias Systems Corporation
Alias Systems Corporation (formerly Alias Research, Alias Wavefront), headquartered in Toronto, Ontario, Canada, was a software company that produced high-end 3D graphics software. Alias was eventually bought by Autodesk. History Alias Systems Corporation was founded by Stephen Bingham, Nigel McGrath, Susan McKenna, and David Springer in 1983. The company was initially funded by a $61,000 grant from the National Research Council, scientific research tax credits, and the founders personal funds. In 1984, while sitting in a Detroit restaurant during the SIGGRAPH conference, the founders decided to name the company Alias because its only revenue came from Springer's work on an anti-aliasing program for Silicon Graphics International. In 1985, at SIGGRAPH the company released Alias 1, which used cardinal splines instead of polygon meshes with straight lines. In 1989, Alias 2 was used to produce ''The Abyss'' which won the Academy Award for Best Visual Effects that year. In 1990, ...
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Silicon Graphics
Silicon Graphics, Inc. (stylized as SiliconGraphics before 1999, later rebranded SGI, historically known as Silicon Graphics Computer Systems or SGCS) was an American high-performance computing manufacturer, producing computer hardware and software. Founded in Mountain View, California in November 1981 by Jim Clark, its initial market was 3D graphics computer workstations, but its products, strategies and market positions developed significantly over time. Early systems were based on the Geometry Engine that Clark and Marc Hannah had developed at Stanford University, and were derived from Clark's broader background in computer graphics. The Geometry Engine was the first very-large-scale integration (VLSI) implementation of a geometry pipeline, specialized hardware that accelerated the "inner-loop" geometric computations needed to display three-dimensional images. For much of its history, the company focused on 3D imaging and was a major supplier of both hardware and software ...
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Graphics Software
In computer graphics, graphics software refers to a program or collection of programs that enable a person to manipulate images or models visually on a computer. Computer graphics can be classified into two distinct categories: raster graphics and vector graphics, with further 2D and 3D variants. Many graphics programs focus exclusively on either vector or raster graphics, but there are a few that operate on both. It is simple to convert from vector graphics to raster graphics, but going the other way is harder. Some software attempts to do this. In addition to static graphics, there are animation and video editing software. Different types of software are often designed to edit different types of graphics such as video, photos, and vector-based drawings. The exact sources of graphics may vary for different tasks, but most can read and write files. Most graphics programs have the ability to import and export one or more graphics file formats, including those formats written for ...
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