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Gerald Goertzel

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Gerald Howard Goertzel (18 August 1919 – 17 July 2002) was an American theoretical physicist. He worked on the Manhattan Project for the Nuclear Development Corporation of America and later for Sage Instruments. He was an employee of IBM's Research Division where he worked for 28 years in a variety of areas, including design automation, data compression and digital printing technology. He is best known for creating the Goertzel algorithm.

Goertzel algorithmGoertzel algorithmThe Goertzel algorithm is a technique in digital signal processing (DSP) for efficient evaluation of the individual terms of the discrete Fourier transform (DFT). It is useful in certain practical applications, such as recognition of dual-tone multi-frequency signaling (DTMF) tones produced by the push buttons of the keypad of a traditional analog telephone. The algorithm was first described by Gerald Goertzel in 1958.Joan L. MitchellJoan Laverne Mitchell (May 24, 1947 – December 2, 2015) was an American computer scientist, data compression pioneer, and inventor who, as a researcher at IBM, co-invented the JPEG digital image format.Stevens Institute of TechnologyStevens Institute of TechnologyPrivate university in Hoboken, New Jersey, U.S.Stevens Institute of Technology is a privateresearch university in Hoboken, New Jersey, United States. Founded in 1870, it is one of the oldest technological universities in the United States and was the first college in America solely dedicated to mechanical engineering. The 55-acre campus encompasses Castle Point, the highest point in Hoboken, a quad, and 43 academic, student and administrative buildings.Manhattan ProjectManhattan ProjectThe Manhattan Project was a research and development program undertaken during World War II to produce the first nuclear weapons. It was led by the United States in collaboration with the United Kingdom and Canada. The Manhattan Project employed nearly 130,000 people at its peak and cost nearly US$2 billion (equivalent to about $28 billion in 2025). From 1942 to 1946, the project was directed by Major General Leslie Groves of the U.S. Army Corps of Engineers.Doctor of PhilosophyDoctor of PhilosophyPostgraduate academic degreeA Doctor of Philosophy (PhD, DPhil; Latin: philosophiae doctor or doctor in philosophia) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the degree is most often abbreviated PhD (or, at times, as Ph.D. in North America) and is pronounced as three separate letters ( ).Fractal compressionFractal compression2 triangles, example to show how fractal compression worksFractal compression is a lossy compression method for digital images, based on fractals. The method is best suited for textures and natural images, relying on the fact that parts of an image often resemble other parts of the same image. Fractal algorithms convert these parts into mathematical data called "fractal codes" which are used to recreate the encoded image.Data compressionData compressionCompact encoding of digital dataIn information theory, data compression, source coding, or bit-rate reduction is the process of encoding information using fewer bits than the original representation. Any particular compression is either lossy or lossless. Lossless compression reduces bits by identifying and eliminating statistical redundancy. No information is lost in lossless compression. Lossy compression reduces bits by removing unnecessary or less important information.Error diffusionContext-adaptive binary arithmetic codingContext-adaptive binary arithmetic codingContext-adaptive binary arithmetic coding (CABAC) is a form of entropy encoding used in the H.264/MPEG-4 AVC and High Efficiency Video Coding (HEVC) standards. It is a lossless compression technique, although the video coding standards in which it is used are typically for lossy compression applications.JBIG2JBIG2JBIG2 is an image compression standard for bi-level images, developed by the Joint Bi-level Image Experts Group. It is suitable for both lossless and lossy compression. According to a press release from the Group, in its lossless mode JBIG2 typically generates files 3–5 times smaller than Fax Group 4 and 2–4 times smaller than JBIG, the previous bi-level compression standard released by the Group.HalftoneHalftoneHalftone is the reprographic technique that simulates continuous-tone imagery through the use of dots, varying either in size or in spacing, thus generating a gradient-like effect. "Halftone" can also be used to refer specifically to the image that is produced by this process.JBIGJBIG is an early lossless image compression standard from the Joint Bi-level Image Experts Group, standardized as ISO/IEC standard 11544 and as ITU-T recommendation T.82 in March 1993. It is widely implemented in fax machines. Now that the newer bi-level image compression standard JBIG2 has been released, JBIG is also known as JBIG1. JBIG was designed for compression of binary images, particularly for faxes, but can also be used on other images.

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