The use of mathematics in cinematic special effects is described in the article "Crashing Waves, Awesome Explosions, Turbulent Smoke, and Beyond: Applied Mathematics and Scientific Computing in the Visual Effects Industry", which will appear in the May 2010 issue of the NOTICES OF THE AMS. The article was written by three University of California, Los Angeles, mathematicians who have made significant contributions to research in this area: Aleka McAdams, Stanley Osher, and Joseph Teran.
Mathematics provides the language for expressing physical phenomena and their interactions, often in the form of partial differential equations. These equations are usually too complex to be solved exactly, so mathematicians have developed numerical methods and algorithms that can be implemented on computers to obtain approximate solutions. The kinds of approximations needed to, for example, simulate a firestorm, were in the past computationally intractable. With faster computing equipment and more-efficient architectures, such simulations are feasible today---and they drive many of the most spectacular feats in the visual effects industry.
Another motivation for development in this area of research is the need to provide a high level of controllability in the outcome of a simulation in order to fulfill the artistic vision of scenes. To this end, special effects simulation tools, while physically based, must be able to be dynamically controlled in an intuitive manner in order to ensure believability and the quality of the effect.
The area of computational fluid dynamics (CFD) provides many of the tools used in simulations of phenomena such as smoke, fire, and water. Before the use of CFD, computer-generated special effects such as explosions were driven by force fields applied to passive unconnected particles, a method that produced rather unrealistic results. Today, a combination of improved hardware and faster algorithms for CFD models have made such special effects much more realistic. CFD has also been used, unsurprisingly, to simulate water-based phenomena; in fact, such water simulation techniques were recognized by an Academy Award for Technical Achievement for the mathematician/computer scientist Ronald Fedkiw of Stanford University.
Mathematics also plays a key role in computer-generated animations of all kinds of solids, from animated characters to cityscapes. Virtually every computer-generated solid has an explicit mathematical representation as a meshed surface or volume. Flesh simulations can endow computer-generated characters with realistically bulging muscles and rippling fat. Hair simulation provides a realistic way to depict the highly complex phenomenon of thousands of hairs interacting and colliding. The article describes recent work by the the first and third authors that provides a new technique for hair simulation.
The effects industry is emerging as an exciting new frontier for mathematicians, one that uniquely combines mathematical insights with the art of moviemaking.
An advance copy of the article by McAdams, Osher, and Teran is available to reporters at the non-public URL
Founded in 1888 to further mathematical research and scholarship, today the American Mathematical Society has more than 32,000 members. The Society fulfills its mission through programs and services that promote mathematical research and its uses, strengthen mathematical education, and foster awareness and appreciation of mathematics and its connections to other disciplines and to everyday life.Contacts: Mike Breen and Annette Emerson
Mike Breen | EurekAlert!
Magnetic Quantum Objects in a "Nano Egg-Box"
25.07.2017 | Universität Wien
3-D scanning with water
24.07.2017 | Association for Computing Machinery
Strong light-matter coupling in these semiconducting tubes may hold the key to electrically pumped lasers
Light-matter quasi-particles can be generated electrically in semiconducting carbon nanotubes. Material scientists and physicists from Heidelberg University...
Fraunhofer IPA has developed a proximity sensor made from silicone and carbon nanotubes (CNT) which detects objects and determines their position. The materials and printing process used mean that the sensor is extremely flexible, economical and can be used for large surfaces. Industry and research partners can use and further develop this innovation straight away.
At first glance, the proximity sensor appears to be nothing special: a thin, elastic layer of silicone onto which black square surfaces are printed, but these...
3-D shape acquisition using water displacement as the shape sensor for the reconstruction of complex objects
A global team of computer scientists and engineers have developed an innovative technique that more completely reconstructs challenging 3D objects. An ancient...
Physicists have developed a new technique that uses electrical voltages to control the electron spin on a chip. The newly-developed method provides protection from spin decay, meaning that the contained information can be maintained and transmitted over comparatively large distances, as has been demonstrated by a team from the University of Basel’s Department of Physics and the Swiss Nanoscience Institute. The results have been published in Physical Review X.
For several years, researchers have been trying to use the spin of an electron to store and transmit information. The spin of each electron is always coupled...
What is the mass of a proton? Scientists from Germany and Japan successfully did an important step towards the most exact knowledge of this fundamental constant. By means of precision measurements on a single proton, they could improve the precision by a factor of three and also correct the existing value.
To determine the mass of a single proton still more accurate – a group of physicists led by Klaus Blaum and Sven Sturm of the Max Planck Institute for Nuclear...
26.07.2017 | Event News
21.07.2017 | Event News
19.07.2017 | Event News
26.07.2017 | Physics and Astronomy
26.07.2017 | Life Sciences
26.07.2017 | Earth Sciences