Quaternion, octonion to dodecanion manifold: stereographic projections from infinity lead to a self-operating mathematical universe
For two hundred years, quaternions and octonions were explored, not a single effort was
made on constructing the mathematical universe with more than eight imaginary worlds. We …
made on constructing the mathematical universe with more than eight imaginary worlds. We …
Polytopal complex construction and use in persistent homology
Topological Data Analysis (TDA) is a data mining technique to characterize the topological
features of data. Persistent Homology (PH) is an important tool of TDA that has been applied …
features of data. Persistent Homology (PH) is an important tool of TDA that has been applied …
[HTML][HTML] Pannini: A New Projection for RenderingWide Angle Perspective Images.
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implicitly treated as a required parameter in/mnt/web618/b0/56/5203556/htdocs …
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Combining biosensing technology and virtual environments for improved urban planning
Abstract The Urban Emotions initiative uses biosensing technology to determine how people
feel in the city, which is of particular relevance for architecture and urban planning. While …
feel in the city, which is of particular relevance for architecture and urban planning. While …
Real-time correction of panoramic images using hyperbolic Möbius transformations
Wide-angle images gained a huge popularity in the last years due to the development of
computational photography and imaging technological advances. They present the …
computational photography and imaging technological advances. They present the …
Projections to fix pose of panoramic photos
E Rapoport, AM Donsbach - US Patent 9,310,987, 2016 - Google Patents
G06F 3/0484(2013.01) ConicalFrustum. html, Apr. 11, 2010. G09B 29/00(2006.01)(
Continued) G06F 3/048(2013.01) G06T 700(2006.01) Primary Examiner—Nicholas Ulrich …
Continued) G06F 3/048(2013.01) G06T 700(2006.01) Primary Examiner—Nicholas Ulrich …
Virtual data sphere: inverse stereographic projection for immersive multi-perspective geovisualization
Immersive geospatial visualization finds increasing application for navigation, exploration,
and analysis. Many such require the display of data at different scales, often in views with …
and analysis. Many such require the display of data at different scales, often in views with …
Compact Boundary Matrix from a Polytopal Complex for Computing Persistent Homology
Persistent Homology (PH) is a tool of Topological Data Analysis (TDA) that records the
persistence of homologies in data. The persistence of the homologies is computed from a …
persistence of homologies in data. The persistence of the homologies is computed from a …
Cognitive analysis of 360 degree surround photos
M Vidanapathirana, L Meegahapola… - arXiv preprint arXiv …, 2019 - arxiv.org
360 degrees surround photography or photospheres have taken the world by storm as the
new media for content creation providing viewers rich, immersive experience compared to …
new media for content creation providing viewers rich, immersive experience compared to …
Warping peirce quincuncial panoramas
C Fong, BK Vogel - arXiv preprint arXiv:1011.3189, 2010 - arxiv.org
The Peirce quincuncial projection is a mapping of the surface of a sphere to the interior of a
square. It is a conformal map except for four points on the equator. These points of non …
square. It is a conformal map except for four points on the equator. These points of non …