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Hardware accelerated computer graphics algorithms
No full textThe advent of shaders in the latest generations of graphics hardware, which has made consumer level graphics hardware partially programmable, makes now an ideal time to investigate new graphical techniques and algorithms as well as attempting to improve upon existing ones.
This work looks at areas of current interest within the graphics community such as Texture Filtering, Bump Mapping and Depth of Field simulation. These are all areas which have enjoyed much interest over the history of computer graphics but which provide a great deal of scope for further investigation in the light of recent hardware advances.
A new hardware implementation of a texture filtering technique, aimed at consumer level hardware, is presented. This novel technique utilises Fourier space image filtering to reduce aliasing. Investigation shows that the technique provides reduced levels of aliasing along with comparable levels of detail to currently popular techniques. This adds to the community's knowledge by expanding the range of techniques available, as well as increasing the number of techniques which offer the potential for easy integration with current consumer level graphics hardware along with real-time performance.
Bump mapping is a long-standing and well understood technique. Variations and extensions of it have been popular in real-time 3D computer graphics for many years. A new hardware implementation of a technique termed Super Bump Mapping (SBM) is introduced. Expanding on the work of Cant and Langensiepen [1], the SBM technique adopts the novel approach of using normal maps which supply multiple vectors per texel. This allows the retention of much more detail and overcomes some of the aliasing deficiencies of standard bump mapping caused by the standard single vector approach and the non-linearity of the bump mapping process.
A novel depth of field algorithm is proposed, which is an extension of the authors previous work [2][3][4]. The technique is aimed at consumer level hardware and attempts to raise the bar for realism by providing support for the 'see-through' effect. This effect is a vital factor in the realistic appearance of simulated depth of field and has been overlooked in real time computer graphics due to the complexities of an accurate calculation. The implementation of this new algorithm on current consumer level hardware is investigated and it is concluded that while current hardware is not yet capable enough, future iterations will provide the necessary functional and performance increases
Portrait of Daniel Bump
No full textPortrait of Daniel D. Bump, Class of 1906. He attended Tualatin Academy before going to Pacific University. After graduating from Pacific, he attended the University of Oregon Law School and practiced law in Hillsboro with his older brother until 1918. He lived from 1881 to 1966.[back] D D Bump 190
Portrait of Daniel Bump
No full textPortrait of Daniel D. Bump, Class of 1906. He attended Tualatin Academy before going to Pacific University. After graduating from Pacific, he attended the University of Oregon Law School and practiced law in Hillsboro with his older brother until 1918. He lived from 1881 to 1966.[back] D D Bump 190
Portrait of Clarence L. and Daniel D. Bump
No full textA formal portrait of two young men each wearing a buttoned jacket with a tie and white shirt. Background is a typical studio background.[back] [black printed ink] C. L. Bump and Daniel D. Bump Early 1900’s Picture [black ink] [handwritten] DD & CL Bump; Clarence & Daniel D Bump Daniel first attended Tualatin Academy & graduated from Pacific in 190
Portrait of Daniel D. Bump
No full textA formal portrait of a young man wearing an open coat over a buttoned jacket with a tie and white shirt. He is holding a derby hat in his left hand and his curly hair is parted in the middle. Background looks to be a corner of a room with crown molding at the top.[back] [black printed ink] Picture of Daniel D. Bump, father of Kenneth & Dr. Forrest Bump. Mr. Bump was born July 22, 1881 on the farm owned by his family near Kings Valley, Oregon and located in Polk and Benton Counties. When Daniel was about 19 years of age the family leased the farm and moved to Forest Grove so that he could attend Tualatin Academy from which he graduated and then went on to graduate from Pacific University in 1906. After graduating from Pacific he attended the University of Oregon Law School and graduated with his law degree and passed the Oregon Bar in 1912. He practiced law in Hillsboro with his older brother until 1918 at which time he moved his practice to Forest Grove and practiced there until 1962. He passed away in February of 1966
Portrait of Mark Bailey Bump
No full textPortrait of Mark Bailey Bump, in his twenties, in a dark suit, with white bow tie. Bump has handlebar mustache, wears wire rim glasses, short hair, with curl at forehead. Mark Bailey Bump (1872-1951), Hillsboro lawyer, and brother of Forest Grove resident Daniel Bump.[back] Mark Bum
Portrait of Mark Bailey Bump
No full textPortrait of Mark Bailey Bump, wearing dark jacket and vest, white shirt and high white collar, black bow tie, white flower pinned to his jacket lapel. Wearing wire rim glasses, prominent mustache, and short hair. Mark Bailey Bump (1872-1951), Hillsboro lawyer, and brother of Forest Grove resident Daniel Bump.[back] Mark Bum
Metaplectic Whittaker functions and the Yang-Baxter equation
No full textIn 2012, Brubaker, Bump, Friedberg, Chinta and Gunnells
proposed statistical-mechanical models for p-adic Whittaker functions
on the degree metaplectic cover of . In recent work of
Brubaker, Buciumas and Bump, the corresponding Yang-Baxter equations
have been found. The corresponding quantum group is identified
as a Drinfeld twist of . The
effect of the Drinfeld twisting is to introduce Gauss sums into
the R-matrix. The scattering matrix of the intertwining operators on the
(nonunique) Whittaker models, previously studied by Kazhdan-Patterson
and Chinta-Gunnells, is thus reinterpreted as the R-matrix of this
quantum group. Moreover, the internal states of these generalized
ice-type models (which are not visible to the intertwining operator) are
built up by tensoring from -dimensional supersymmetric modules
for the quantum affine Lie superalgebra .Non UBCUnreviewedAuthor affiliation: Stanford UniversityFacult
Reviews
No full textReviews
Katie Kane. Women Writing Culture. (Gary A. Olson and Elizabeth Hirsh, Eds., 1995). Women/ Writing/ Teaching. (Jan Zlotnik Schmidt, Ed., 1998).
Sheryl Mylan. ARTiculating: Teaching Writing in a Visual World. (Pamela B. Childers, Eric Hobson, and Joan A. Mullin, 1998).
Jerome Bump. Emotional Intelligence. (Daniel Goleman, 1995)
Duality for Metaplectic Ice
No full textThis is a report on arXiv:1604.02206 and arXiv:1709.06500,
joint with Brubaker, Buciumas and Gray. Whittaker functions on
the -fold metaplectic cover of over a nonarchimedean
local field were studied by Kazhdan and Patterson, who computed the
scattering matrix of the intertwining integrals on the Whittaker
models. It was shown in 2016 by Brubaker, Buciumas and Bump that this
scattering matrix coincides with the R-matrix of a quantum group,
a twist of quantum affine ,
where is the residue cardinality. Moreover, they showed that
the spherical Whittaker functions could be expressed as
partition functions of solvable lattice models, whose internal
structure is related to the quantum affine Lie superalgebra
. In recent
work, Brubaker, Buciumas, Bump and Gray proved that a
second solvable lattice model has the same partition
function using Yang-Baxter equations. There may be analogies
in mathematical physics, such as Kramers-Wannier duality for the Ising
model, where the high-temperature system and the low temperature system
have essentially the same partition function.Non UBCUnreviewedAuthor affiliation: Stanford UniversityFacult
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