Genuine Fractals
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Genuine Fractals
Genuine Fractals is a Photoshop plug-in developed and distributed by onOne Software of Portland, Oregon. The original Windows version of Genuine Fractals was designed and developed by Altamira Group in Burbank, California under team leader Steven Bender in 1996. In 1997, Altamira released the Robert McNally-developed Version 2.0 on the Macintosh Platform and the redesigned Windows Version 2.0 product. The Genuine Fractals products were acquired by LizardTech in June 2001, before ultimately being acquired by onOne Software in July 2005. As of version 7.0, the product was called Perfect Resize, and as of version 10, ON1 Resize. There are two main features in the Genuine Fractals plug-in. First is a feature to save image files in either FIF (Fractal Image Format) or its proprietary STN multi-resolution wavelet format. This format offers file compression ratios around 2:1 for lossless and 5:1 for visually lossless. The second main feature of Genuine Fractals is a scaling algorithm bas ...
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Adobe Photoshop
Adobe Photoshop is a raster graphics editor developed and published by Adobe Inc. for Microsoft Windows, Windows and macOS. It was originally created in 1988 by Thomas Knoll, Thomas and John Knoll. Since then, the software has become the industry standard not only in raster graphics editing, but in digital art as a whole. The software's name is often colloquially used as a verb (e.g. "to photoshop an image", "photoshopping", and "photoshop contest") although Adobe discourages such use. Photoshop can edit and compose raster images in multiple layers and supports Mask (computing), masks, alpha compositing and several color models including RGB color model, RGB, CMYK color model, CMYK, CIELAB, spot color, and duotone. Photoshop uses its own PSD and PSB file formats to support these features. In addition to raster graphics, Photoshop has limited abilities to edit or render text and vector graphics (especially through clipping path for the latter), as well as 3D graphics and video. ...
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Portland, Oregon
Portland (, ) is a port city in the Pacific Northwest and the largest city in the U.S. state of Oregon. Situated at the confluence of the Willamette and Columbia rivers, Portland is the county seat of Multnomah County, the most populous county in Oregon. Portland had a population of 652,503, making it the 26th-most populated city in the United States, the sixth-most populous on the West Coast, and the second-most populous in the Pacific Northwest, after Seattle. Approximately 2.5 million people live in the Portland metropolitan statistical area (MSA), making it the 25th most populous in the United States. About half of Oregon's population resides within the Portland metropolitan area. Named after Portland, Maine, the Oregon settlement began to be populated in the 1840s, near the end of the Oregon Trail. Its water access provided convenient transportation of goods, and the timber industry was a major force in the city's early economy. At the turn of the 20th century, the ...
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LizardTech
Celartem, Inc., doing business as Extensis, is a software company based in Portland, Oregon. History Extensis and its parent company ''CreativePro.com'' were sold to ''ImageX'' in year 2000, which in turn sold Extensis to Japanese content-management company Celartem Technology in 2002. In 2003, Extensis acquired competitor DiamondSoft and their Font Reserve applications (stand-alone and client-server). In January 2006, Extensis merged its two font management products, Font Reserve and Suitcase into a single product called Suitcase Fusion. In August 2010, Extensis launched WebINK, a web font subscription service. This service was discontinued on July 1, 2015. In 2018, Extensis united with its sister company, LizardTech, to continue developing and distributing software for compressing and distributing massive, high-resolution geospatial data. See also * List of companies based in Oregon * ''LizardTech, Inc. v. Earth Resource Mapping, Inc. ''Lizardtech, Inc. v. Earth Res. Mappin ...
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Wavelet
A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the number and direction of its pulses. Wavelets are imbued with specific properties that make them useful for signal processing. For example, a wavelet could be created to have a frequency of Middle C and a short duration of roughly one tenth of a second. If this wavelet were to be convolved with a signal created from the recording of a melody, then the resulting signal would be useful for determining when the Middle C note appeared in the song. Mathematically, a wavelet correlates with a signal if a portion of the signal is similar. Correlation is at the core of many practical wavelet applications. As a mathematical tool, wavelets can be used to extract information from many different kinds of data, including but not limited to au ...
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Lossless
Lossless compression is a class of data compression that allows the original data to be perfectly reconstructed from the compressed data with no loss of information. Lossless compression is possible because most real-world data exhibits statistical redundancy. By contrast, lossy compression permits reconstruction only of an approximation of the original data, though usually with greatly improved compression rates (and therefore reduced media sizes). By operation of the pigeonhole principle, no lossless compression algorithm can efficiently compress all possible data. For this reason, many different algorithms exist that are designed either with a specific type of input data in mind or with specific assumptions about what kinds of redundancy the uncompressed data are likely to contain. Therefore, compression ratios tend to be stronger on human- and machine-readable documents and code in comparison to entropic binary data (random bytes). Lossless data compression is used in many ...
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Iterated Function System
In mathematics, iterated function systems (IFSs) are a method of constructing fractals; the resulting fractals are often self-similar. IFS fractals are more related to set theory than fractal geometry. They were introduced in 1981. IFS fractals, as they are normally called, can be of any number of dimensions, but are commonly computed and drawn in 2D. The fractal is made up of the union of several copies of itself, each copy being transformed by a function (hence "function system"). The canonical example is the SierpiƄski triangle. The functions are normally contractive, which means they bring points closer together and make shapes smaller. Hence, the shape of an IFS fractal is made up of several possibly-overlapping smaller copies of itself, each of which is also made up of copies of itself, ad infinitum. This is the source of its self-similar fractal nature. Definition Formally, an iterated function system is a finite set of contraction mappings on a complete metric space. Sym ...
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Self-similarity
__NOTOC__ In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts). Many objects in the real world, such as coastlines, are statistically self-similar: parts of them show the same statistical properties at many scales. Self-similarity is a typical property of fractals. Scale invariance is an exact form of self-similarity where at any magnification there is a smaller piece of the object that is similar to the whole. For instance, a side of the Koch snowflake is both symmetrical and scale-invariant; it can be continually magnified 3x without changing shape. The non-trivial similarity evident in fractals is distinguished by their fine structure, or detail on arbitrarily small scales. As a counterexample, whereas any portion of a straight line may resemble the whole, further detail is not revealed. A time developing phenomenon is said to exhibit self-similarity if the numerical v ...
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MacWorld
''Macworld'' is a website dedicated to products and software of Apple Inc., published by Foundry, a subsidiary of IDG Inc. It started life as a print magazine in 1984 and had the largest audited circulation (both total and newsstand) of Macintosh-focused magazines in North America, more than double its nearest competitor, ''MacLife'' (formerly ''MacAddict''). ''Macworld'' was founded by David Bunnell and Cheryl Woodard (publishers) and Andrew Fluegelman (editor). It was the oldest Macintosh magazine still in publication, until September 10, 2014, when IDG, its parent company, announced it was discontinuing the print edition and laid off most of the staff, while continuing an online version. History of Macworld In 1997, the publication was renamed ''Macworld, incorporating MacUser'' (a name reflected subtly on the magazine's Table of Contents page) to reflect the consolidation of the Ziff-Davis-owned ''MacUser'' magazine into the International Data Group-owned ''Macworld'' wit ...
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Fractal
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set. This exhibition of similar patterns at increasingly smaller scales is called self-similarity, also known as expanding symmetry or unfolding symmetry; if this replication is exactly the same at every scale, as in the Menger sponge, the shape is called affine self-similar. Fractal geometry lies within the mathematical branch of measure theory. One way that fractals are different from finite geometric figures is how they scale. Doubling the edge lengths of a filled polygon multiplies its area by four, which is two (the ratio of the new to the old side length) raised to the power of two (the conventional dimension of the filled polygon). Likewise, if the radius of a filled sphere i ...
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Mandelbrot Set
The Mandelbrot set () is the set of complex numbers c for which the function f_c(z)=z^2+c does not diverge to infinity when iterated from z=0, i.e., for which the sequence f_c(0), f_c(f_c(0)), etc., remains bounded in absolute value. This set was first defined and drawn by Robert W. Brooks and Peter Matelski in 1978, as part of a study of Kleinian groups. Afterwards, in 1980, Benoit Mandelbrot obtained high-quality visualizations of the set while working at IBM's Thomas J. Watson Research Center in Yorktown Heights, New York. Images of the Mandelbrot set exhibit an elaborate and infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematically, one would say that the boundary of the Mandelbrot set is a ''fractal curve''. The "style" of this recursive detail depends on the region of the set boundary being examined. Mandelbrot set images may be created by sampling the complex numbers and testing, for each ...
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