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Algorithms

A computer engineer is expanding the limits of geometric theory.

Justin Solomon, an associate professor at the Massachusetts Institute of Technology (MIT), is applying modern geometric techniques to solve complex problems in data science, computer graphics, and artificial intelligence. He draws upon the principles of geometry— the study of shapes—pioneered over 2,000 years ago by Greek mathematician Euclid. The relevance of geometric principles extends beyond…

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A versatile answer designed to assist animators in enhancing their artwork.

Researchers from MIT have developed a method that could provide animators with greater control over their animations. This new technique generates mathematical functions known as barycentric coordinates, which define how 2D and 3D shapes can bend, stretch, and move through space. This allows the artist to determine the movements of animated objects according to their…

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A computer technologist advances the limits of geometry.

Justin Solomon, an Associate Professor in the MIT Department of Electrical Engineering and Computer Science (EECS), is using geometric techniques to solve complex computing problems. Solomon says this method is ideally suited to finding solutions in data science, as it can enable a deeper understanding of the distances, similarities, curvature and shape data. About half…

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A versatile approach to assist artists in enhancing animation.

Researchers at Massachusetts Institute of Technology (MIT) have introduced a new technique for animating characters in movies and video games which allows artists greater flexibility and control. The method works by generating mathematical functions called barycentric coordinates to define how 2D and 3D shapes can move, stretch, and bend within space. Animation techniques currently available can…

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A computer scientist is advancing the limits of geometry.

Justin Solomon, an associate professor in the MIT Department of Electrical Engineering and Computer Science (EECS) and a member of the Computer Science and Artificial Intelligence Laboratory (CSAIL), is using advanced geometric techniques to deal with complex issues that don't seemingly have any connection with geometry. Solomon explains that geometric terms like distance, similarity, and…

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A computer engineer explores the limits of geometric principles.

More than 2000 years after Greek mathematician Euclid revolutionized the understanding of shapes, MIT associate professor Justin Solomon uses modern geometric techniques to resolve complex problems that seemingly have little to do with shapes. Adopting these techniques to compare two datasets for machine learning model performance, Solomon argues that geometric tools can reveal whether the…

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An adaptable approach designed to assist creators in enhancing their animation skills.

MIT researchers have developed a technique that could revolutionize the animation industry by giving artists more flexibility in how they animate characters. Instead of sticking to a single conventional measurements or mathematical functions called barycentric coordinates, the new method allows the artist to experiment with different movements and expressions, specific to each individual animation. This…

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A computer scientist advances the limits of geometry.

Over two thousand years ago, Greek mathematician Euclid revolutionized the world with his groundbreaking work in geometry. Today, MIT Associate Professor Justin Solomon is using contemporary geometric techniques to solve intricate problems, which often don't appear to be related to shapes, albeit heavily correlate with data arrangement in a high-dimensional space. Solomon, who is also a…

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An adaptable method designed to assist animators in enhancing their work.

A new technique developed by researchers at MIT gives animators more control over their creations by generating mathematical functions that determine how 2D and 3D shapes can bend, stretch and move through space. These functions, called barycentric coordinates, provide enhanced flexibility as opposed to traditional methods that restrict artists to a single option for shape-motion…

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A computer technologist is advancing the limits of geometry.

Justin Solomon, an associate professor in the MIT Department of Electrical Engineering and Computer Science and a member of the Computer Science and Artificial Intelligence Laboratory (CSAIL), employs modern geometric techniques to solve intricate problems often unrelated to shapes. Using these geometric methods, data sets can be compared and the high-dimensional space in which the…

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A computer scientist stretches the limits of geometry.

The Greek mathematician Euclid is renowned for laying the groundwork of geometry more than 2,000 years ago. In present times, Justin Solomon, an Associate Professor at MIT's Department of Electrical Engineering and Computer Science, is deriving inspiration from Euclid's fundamental theories and using modern geometric techniques to solve complex problems. Remarkably, these issues frequently bear…

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A versatile approach to assist animators in enhancing their artwork.

A new technique developed by researchers from MIT promises to revolutionize how artists animate characters in video games and animated films. Utilizing mathematical functions called barycentric coordinates, which define how 2D and 3D shapes can move, bend, and stretch in space, will give animators greater control over the motion of characters. Traditional animating methods often provide…

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